The length of the air-filled pipe is [tex]v/560[/tex] Hz, where v is speed of sound.
The correct pressure variation graph for the 1120 Hz standing wave in the pipe is the one with two antinodes and one node. The pressure is highest at the antinodes and lowest at the nodes.
To determine the length of the pipe, we can use the formula:
[tex]L = n * (v/2f)[/tex]
where L is the length of the pipe, n is the harmonic number, v is the speed of sound, and f is the frequency of the harmonic.
For the fundamental frequency (the first harmonic), we have:
[tex]L = 1 * (v/2f) = v/2f[/tex]
For the second harmonic, we have:
[tex]L = 2 * (v/2f) = v/f[/tex]
For the third harmonic (1120 Hz), we have:
[tex]L = 3 * (v/2f) = 3v/2f[/tex]
Since the pipe has harmonics at 480 Hz, 800 Hz, and 1120 Hz, we can write:
[tex]v/2L = 480 Hz,[/tex] [tex]v/L = 800 Hz[/tex], and[tex]3v/2L = 1120 Hz[/tex]
Solving for L, we get:
[tex]L = v/(2 * 480 Hz) = v/960[/tex]
[tex]L = v/800 Hz[/tex]
[tex]L = 2v/3360 Hz[/tex]
Since we do not know if there are harmonics below 480 Hz or above 1120 Hz, we cannot use these equations to solve for the length of the pipe. However, we can see that the length of the pipe is proportional to the wavelength of the sound waves in the pipe. The wavelength of the third harmonic is four times the wavelength of the first harmonic, so the length of the pipe must be four times the length of the pipe for the first harmonic. Therefore, the length of the pipe is:
[tex]L = 4 * (v/2 * 1120 Hz) = v/560 Hz[/tex]
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Transcribed image text: Part A Find the time for a pulse of laser light to reach the Moon and to bounce back to Earth Express your answer to two significant figures and include the appropriate units. t= 1 Value Units Submit Request Answer
The time for a pulse of laser light to reach the Moon and bounce back to Earth is 2.57 seconds.
It takes about 2 1/2 seconds for the laser light to go from Earth, be reflected off the surface of the moon, and come back. Distance from Earth to the moon in miles is about 238,900 miles.
477,000 miles or 2 x 238,900 is the round trip from Earth to Moon.
Light travels at 186,000 miles per second.
The total time taken is 477,000 miles / 186,000 miles/sec = 2.57 seconds.
We calculated the precise distance based on the time, divided by two, and the speed of light.
Thus, the time taken by the pulse of laser light to reach the Moon and bounce back to Earth is 2.57 seconds.
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a capacitor is a device that is used to store up electrical potential energy. it consists of three parts sandwiched tightly together. charges from one of the outer pieces are pumped around the circuit onto the other outer layer. in order for the capacitor to be able to build up as much potential as possible, what type of material should the middle layer be made of?
It is made up of three pieces that are closely packed together. Particles from one of outside parts are pumped all around circuit onto the second outer layer.
What makes it a capacitor?Because of this, the capacitor is occasionally referred to as the capacitor. A passive element is known as a capacitor because it can store more electric power than a comparable element when employed as an insulator and insulated conductor.
What does a symbol for a capacitor mean?The capacitor symbol must show the construction of the capacitor as two lines, either flat and curved, close but not touching.
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On a dry winter day, if you scuff your feet
across a carpet, you build up a charge and get
a shock when you touch a metal doorknob.
In a dark room you can actually see a spark
about 2 cm long. Air breaks down at a field
strength of 3 × 10^6 N/C.
How much charge have you built up? Assume that just before the spark occurs, all the
charge is in your finger, drawn there by induction due to the proximity of the doorknob.
Approximate your fingertip as a sphere of diameter 1.59 cm, and assume that there is an
equal amount of charge on the doorknob 2 cm
away.
Answer in units of C.
The amount of charge built up on your fingertip is approximately 10.08 x 10^-5 C.
How did we get the value?The spark length of 2 cm is equal to the breakdown field strength in air, so the electric field strength between your fingertip and the doorknob is 3 x 10^6 N/C.
The electric potential difference between the two points is given by the equation:
V = Ed
Where V is the potential difference, E is the electric field strength, and d is the distance between the two points.
In this case, d is equal to 2 cm, so we can calculate the potential difference:
V = (3 x 10^6 N/C) x (2 cm) = 6 x 10^6 N m/C = 6 x 10^6 V
Next, we can calculate the charge q on your fingertip using the formula:
q = CV
Where C is the capacitance of your fingertip.
The capacitance of a sphere is given by the formula:
C = 4πε_0r
Where C is the capacitance, ε_0 is the permittivity of free space, and r is the radius of the sphere.
The diameter of your fingertip is 1.59 cm, so the radius is 0.795 cm. Plugging these values into the formula for capacitance, we get:
C = 4πε_0 * 0.795 cm = 4π * 8.85 x 10^-12 * 0.795 cm = 1.68 x 10^-11 F
Finally, we can calculate the charge on your fingertip by plugging in the values for q and C into the equation:
q = C x V = 1.68 x 10^-11 F x 6 x 10^6 V = 10.08 x 10^-5 C
So the amount of charge built up on your fingertip is approximately 10.08 x 10^-5 C.
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a bicycle wheel has a diameter of 74.6 cm and a mass of 0.758 kg. the bicycle is placed on a stationary stand on rollers and a resistive force of 95.7 n is applied to the rim of the tire. assume all the mass of the wheel is concentrated on the outside radius. in order to give the wheel an acceleration of 2.6 rad/s 2 , what force must be applied by a chain passing over a sprocket with diameter 8.38 cm? answer in units of n.
Force applied by a chain passing over a) is 854 N and force is required if the chain shifts to a 8.38 cm is 869N.
A) The expression for force is product of force and distance of force from the axis of rotation,
τ = r x F
Here sum of clock wise moments are negative and sum of anticlockwise moments are positive,
τ = r x Fa
τnet = r x Fa - R x F
Torque is product of inertia and angular acceleration,
I∝ = r x Fa - R x F
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
Moment of inertia of wheel is,
I = MR²
= (0.758)(0.746)
= 0.565 kg.m³
Fa = 854 N
B) using the equation,
[tex]F_a = \frac{I\alpha + R*F_r_e_s}{r}[/tex]
= [tex]\frac{(0.565) (2.6) + (95.7)(0.746) }{0.0838}[/tex]
= 869N
Newton's alternate law establishes that the net necklace acting on a body equals the product of the body's moment of indolence and its angular acceleration,
The moment of indolence serves as a measure of the body's resistance to a change in its rotational state of stir.
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. (3 points) the analog cathode ray oscilloscope described in the lab manual is related to the digital oscilloscope used in the lab in the same way that a 1950s era television is related to what device?
The analog cathode ray oscilloscope in the lab manual is related to the digital oscilloscope used in the lab in the same way that 1950s era television is related to modern flat-screen television.
What is meant by a cathode ray oscilloscope?Analog cathode ray oscilloscope and the 1950s era television are older technologies that use cathode ray tube (CRT) to display images or waveforms.
They operate by deflecting an electron beam on a phosphorescent screen to create visual display. And, in contrast, digital oscilloscope and modern flat-screen televisions use digital processing and display technologies to provide more precise and flexible visual representations.
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if you see the moon directly above a tree from your bedroom window one day, will the moon appear in the same position earlier or later the next day? explain.
The moon will not appear in the same position at the same time the next day, due to the Earth's rotation and the moon's motion in its orbit around the Earth.
The position of the moon in the sky changes due to the rotation of the Earth on its axis, as well as the moon's own motion in its orbit around the Earth. Therefore, if you see the moon directly above a tree from your bedroom window one day, the moon will not appear in the same position at the same time the next day. The time it takes for the moon to return to the same position in the sky is approximately 24 hours and 50 minutes, which is known as a lunar day. This is longer than a solar day (which is 24 hours), because the moon is also moving in its orbit around the Earth, and therefore has to move slightly further in the sky to return to the same position relative to the Sun. So, the moon will appear in a slightly different position in the sky relative to the tree each day, and it will also rise and set at slightly different times each day. The exact amount of change will depend on factors such as the time of year and the location of the observer.
In summary, the moon will not appear in the same position at the same time the next day, due to the Earth's rotation and the moon's motion in its orbit around the Earth.
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if you drop an object, its acceleration toward the ground is 10 m/s2. if you throw it down instead, its acceleration after throwing would be
If an object is dropped, it is released from rest and falls freely under the influence of gravity. The acceleration due to gravity is approximately 10 m/s^2 near the surface of the Earth. This means that the object's speed will increase by 10 m/s every second it falls.
If the same object is thrown down instead of dropped, it will initially have some initial velocity in addition to the acceleration due to gravity. The acceleration due to gravity will remain the same at approximately 10 m/s^2. However, the total acceleration of the object will be the vector sum of the acceleration due to gravity and the initial acceleration from the throw.
If the object is thrown straight down, the initial velocity will be in the same direction as the acceleration due to gravity, and the total acceleration will be the sum of the magnitudes of the two accelerations, which is 10 m/s^2 + the initial acceleration from the throw.
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if an energy transfer takes place due to a temperature difference, the energy crossing the boundary of the system is in the form of . multiple choice question. pressure heat work mass momentum
If a temperature differential causes an energy transfer, heat is the form in which the energy travels across the system's border. Hence, the appropriate choice is (b).
When there is a temperature difference between two systems, heat energy can flow from the hotter system to the colder system. Heat is a form of energy that is transferred due to the difference in temperature between two systems. This energy transfer is caused by the random motion of the particles in the system. When there is a temperature difference between two systems, the particles in the hotter system have a higher kinetic energy than the particles in the colder system. This leads to the transfer of heat energy from the hotter system to the colder system, until both systems reach thermal equilibrium, i.e., they reach the same temperature and the net heat flow stops.
Therefore, when there is an energy transfer due to a temperature difference, the energy crossing the boundary of the system is in the form of heat.
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Question - If an energy transfer takes place due to a temperature difference, the energy crossing the boundary of the system is in the form of. Multiple choice question, choose one:-
(a) pressure
(b) heat
(c) work
(d) mass
(e) momentum
an isolated charged point particle produces an electric field with magnitude 100 n/c at a point 2 m away. at a point 1 m from the particle, what is the magnitude of the field?
Magnitude of the electric field at a point 1 m from the particle is 400 N/C.
The magnitude of the electric field produced by an isolated charged point particle follows an inverse-square law, meaning that the field strength decreases as the distance from the particle increases. The electric field strength E is proportional to the inverse of the square of the distance r from the particle:
[tex]E = k*1/r^2[/tex]
We can use this relationship to solve the problem. If the electric field strength at a point 2 m away from the particle is 100 N/C, then we can write:
[tex]100 N/C = kQ/2^2[/tex]
where k is the Coulomb constant and Q is the charge of the particle. Rearranging this equation to solve for Q, we get:
[tex]Q = (100 N/C)(2^2/k)[/tex]
At a point 1 m from the particle, the distance is halved, so the electric field strength will be:
[tex]E = kQ/1^2 = kQ[/tex]
Substituting the value of Q we just calculated, we get:
[tex]E = (100 N/C)(2^2/1^2k) = 400 N/C[/tex]
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which physics quantity is directly related to the tendency of an object to maintain its state of motion?
The quantity directly related to the tendency of an object to maintain its state of motion is called "inertia."
What is inertia?The propensity of an object to continue moving at a steady speed or to remain at rest is described by the principle of inertia. So, whether it is a moving body or something resting on a table, it is a measurement of an object's resistance to changing its condition. It takes more effort to change an object's condition from rest or constant velocity if it has higher inertia. Consequently, lighter objects are in states that are simpler to modify.
The fact that friction exists is one factor that may make the "constant velocity" part seem counterintuitive. The friction of the turf causes a ball to bounce and eventually roll to a stop when you kick it down a field. The ball would, however, continue moving at a steady speed indefinitely if the playing surface could be made frictionless, barring some external force. It goes without saying that this situation would also alter how baseball games are played, as well as every other aspect of life on Earth.
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describe the significance of laser irradiance and exposure in vp processes. how do these phenomena affect the solidification, scan pattern, and quality of a vp build? what is the difference between irradiance and exposure?
Laser irradiation of a solution is an effective way to generate crystal nucleinuclei.
Vat polymerisation employs a vat of liquid photopolymer resin in which the model is built layer by layer. Where necessary, an ultraviolet (UV) light is used to cure or harden the resin, while a platform moves the object being made downwards after each new layer is cured.
Because the process employs liquid to form objects, there is no structural support from the material during the build phase, as opposed to powder-based methods, which provide support from the unbound material. In this case, additional support structures are frequently required. Resins are cured using photopolymerisation (Gibson et al., 2010) or UV light, in which the light is directed across the surface of the resin using motorised mirrors (Grenda, 2009). The resin cures or hardens where it comes into contact with light.
The layer thickness lowers the build platform from the top of the resin vat downwards.
The resin is cured layer by layer with a UV light. The platform continues to descend, and new layers are added on top of the previous ones.
Some machines use a blade that moves between layers to provide a smooth resin base on which to build the next layer.
After completion, the resin is drained from the vat and the object is removed.
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Define a change in quantity demanded, and describe what causes it
Answer:
A change in quantity demanded refers to a variation in the amount of a good or service that consumers are willing and able to purchase, given the same price. The change in quantity demanded can be either an increase or a decrease.
Explanation:
There are several factors that can cause a change in quantity demanded:
Price change: A change in the price of a good or service can cause a change in the quantity demanded. If the price of a good or service increases, the quantity demanded will decrease (assuming everything else remains constant), and if the price decreases, the quantity demanded will increase.
Income: A change in consumer income can cause a change in the quantity demanded. If income increases, consumers may be able to afford to buy more of a good or service, which will cause the quantity demanded to increase. If income decreases, consumers may not be able to afford as much, which will cause the quantity demanded to decrease.
Tastes and preferences: Changes in tastes and preferences can also cause a change in quantity demanded. For example, if a new trend or fashion becomes popular, consumers may start to demand more of the goods or services associated with that trend.
Expectations: Consumers' expectations about future prices, availability, and income can also cause changes in the quantity demanded. For example, if consumers expect the price of a good or service to increase in the future, they may buy more of it now, which will cause the quantity demanded to increase.
Number of buyers: The number of buyers in the market can also affect the quantity demanded. An increase in the number of buyers will increase the quantity demanded, while a decrease will decrease the quantity demanded.
1. A 10-kg medicine ball is thrown at a velocity of 15 km/hr to a 50-kg skater who is at rest on ice. The skater catches the ball and subsequently slides with the ball across the ice. Consider the skater and the ball as two separate parts of an isolated system. (no external forces)
The medicine ball starts out with a momentum of 150 kgkm/h (10 kg x 15 km/h). Because the skater is at rest, the system's starting momentum is just 150 kg/km/hr.
A medicine ball is a weighted workout ball that is used for building core strength, endurance, and power. They range in size and weight from 1 kg to 10 kg, respectively. Typically fashioned of leather, rubber, or plastic, they contain sand or a sand-and-water mixture. When performing workouts like abdominal twists, sit-ups, push-ups, lunges, and squats, people frequently use medicine balls. The additional weight makes the activity more difficult and resistant, making it a more tough workout. They are a flexible and powerful tool for enhancing conditioning, strength, and general fitness.
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You see a flash of lightning and hear the thunder 3 seconds later. How far away was the
lightning strike? (Thunder is caused by lightning. Use 25 ºC for the temperature of the
air.)
Answer:
1020 meters
Explanation:
To determine the distance from a lightning strike, you can use the time elapsed between seeing the flash of lightning and hearing the thunder.
The speed of sound in air is approximately 340 m/s. So the distance from the lightning can be calculated as:
distance = (time elapsed) x (speed of sound) = 3 seconds x 340 m/s = 1020 meters.
Note: This calculation is a rough estimate and does not take into account other factors such as air temperature, atmospheric pressure, and altitude, which can affect the speed of sound.
ALLEN
you (northern hemisphere observers) observe a star rising due east. when this star reaches its highest position above the horizon, where will it be?
When a star is rising straight up in the east, it will be high in the south when it is at its peak point over the horizon.
In both hemispheres, the star ascends in the east and sets in the west. This results from the rotation of the earth. Also, they circle the north celestial pole in a clockwise way whereas the south celestial pole is in a counterclockwise direction.
Nonetheless, the south celestial pole will be visible above the southern horizon at an angle proportional to your latitude. Toward the northern sky, rising stars in the east will go higher and to the left. As you travel farther south, the celestial equator will likewise pass across the northern sky, getting progressively lower.
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What does the resolution limit of an optical system depend on? Choose all answers that are correct. (a) The wavelength of light (b) The diameter of the aperture (c) The distance to the object being viewed (d) The distance from the aperture to the light detectors
The resolution limit of an optical system depends on both (a) The wavelength of light and (b) The diameter of the aperture. These two factors determine the diffraction limit, which is the smallest distance between two points that can be resolved by the optical system.
The wavelength of light affects the resolution limit because shorter wavelengths are able to resolve smaller details than longer wavelengths. The diameter of the aperture also affects the resolution limit because a larger aperture allows for more light to enter the system, which can improve the resolution.
The distance to the object being viewed (option c) and the distance from the aperture to the light detectors (option d) do not affect the resolution limit of an optical system. These factors may affect the overall image quality, but they do not determine the smallest distance between two points that can be resolved by the system.
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if the motorcycle has a deceleration of and its speed at position a is , determine the magnitude of its acceleration when it passes point b.
If the motorcycle has a deceleration of and its speed at position a is, then the magnitude of its acceleration when it passes point b will be two times of a.
Acceleration is a physical quantity that describes how quickly the velocity of an object is changing. More specifically, it is the rate of change of velocity with respect to time.
In mathematical terms, acceleration is defined as: a = Δv / Δt where a is the acceleration, Δv is the change in velocity, and Δt is the change in time. Acceleration is a vector quantity, meaning that it has both magnitude and direction. The SI unit for acceleration is meters per second squared (m/s²).
If an object is moving in a straight line and its velocity is increasing, its acceleration is said to be positive. If its velocity is decreasing, its acceleration is said to be negative. If the object is changing direction, its acceleration will also have a component in the direction perpendicular to the change in direction.
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A carton of paper has a mass of 22.7 kg. The area of the bottom is 0.119 m². What is the
pressure between the carton and the floor?
Pressure between the carton and the floor will be 1871 N/m².
Pressure is defined as the force applied perpendicular to an object's surface per unit area over which that force is distributed. Gauge pressure is the pressure in relation to the surrounding atmosphere. Pressure is expressed using a variety of units.
Given that a carton of paper has a mass of 22.7 kg. The area of the bottom is 0.119 m².
The pressure will be calculated as:-
P = Force / Area
Force = Weight = mg
P = mg / A
P = ( 22.7 x 9.81 ) / 0.119
P = 1871 M / m²
Hence, the pressure will be 1871 N / m².
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Can you accept the existence of something this doesn’t possess this property of interaction? And if so, how do you know which thing(s) to accept, since they aren’t detectable?
Answer:
I can tell you that in the realm of physics and philosophy, the existence of things that don't interact with their environment is a concept that has been debated.
In physics, there are concepts like dark matter and dark energy, which are believed to exist based on their gravitational effects on visible matter, but they do not interact with light or other forms of electromagnetic radiation, making them difficult to detect directly.
In philosophy, there are debates about the existence of things like abstract objects, such as numbers or concepts, which are not physical and do not interact with the physical world, but are thought to exist in a different way.
Ultimately, whether or not one accepts the existence of things that don't interact is a matter of personal belief or theoretical framework. Scientifically, the existence of such things can be postulated based on their effects on other things that can be detected, but their ultimate existence may be impossible to prove conclusively.
How do you find the radius of a planet with gravity?
The formula for gravitational force is F=GMm/r2. The force of gravity will weaken as the Earth's radius (r) increases, which also affects your weight.
Similar to how your weight would grow if the Earth's radius (r) decreased.
The link between the mass, radius, and acceleration brought on by gravity at the surface of several planets is what this problem is about. Because of this knowledge, we will now examine Newton's law of universal gravitation. And we have a formula we can employ in this situation. The acceleration brought on by gravity on a planet's surface is known as g, and it is equal to capital G multiplied by m over r squared, where m is the mass, r is the radius, and capital G is the universal gravitational constant.
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A student with a mass of 75.0 kg is sitting on 4-legged lab stool that has a mass of 3.0 kg. Each leg of the stool is circular and has a diameter of 2.50 cm. Find the pressure under each leg of the stool. (Hints: (1) Remember to convert cm² to m² for the area of the legs of the stool. (2) Remember that the stool has four legs. (3) Note that the problem gives the diameter of the legs of the stool, not the radius.)
The pressure under each leg of the stool is approximately 149,675 Pa, or 149.675 kPa.
The pressure under each leg of the stool is approximately 37,419 Pa, or 37.419 kPa.
How to find the pressureThe pressure under each leg of the stool can be calculated by dividing the total force applied by the area of the legs.
First, let's calculate the total force applied by the student and the stool:
Force = Mass x Gravity
= (75.0 kg) x (9.8 m/s²)
= 735 N
The area of each leg of the stool:
Diameter = 2.50 cm
Radius = Diameter / 2
= 2.50 cm / 2
= 1.25 cm
Area = π x (Radius)²
= π x (1.25 cm)²
= 4.91 cm²
Convert the area from cm² to m²:
Area = 4.91 cm² x (1 m / 100 cm)²
= 4.91 x 10^-4 m²
The pressure under each leg:
Pressure = Force / Area
= 735 N / (4.91 x 10^-4 m²)
= 149675 Pa
The pressure under each leg of the stool is approximately 149,675 Pa, or 149.675 kPa. Since the stool has four legs, the total pressure applied by the student and the stool is divided equally among the legs, meaning each leg experiences a pressure of approximately 37,419 Pa, or 37.419 kPa.
The pressure under each leg of the stool can be calculated by dividing the total force applied by the area of the legs.
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double double toil and trouble fire burn and cauldron bubble are meaning
Double double toil and trouble;
Fire burn and couldron bubble. is by the struggle a lot
option A
The phrases that the three witches in Macbeth used to inform the audience of Macbeth's actions show that Macbeth would suffer greatly. The three witches foretold Macbeth's ascension to the throne. Additionally, they told him that his reign could not be passed on to his descendants. Instead, the realm would pass to Banquo's sons. The predictions a encouraged Macbeth to kill his t friends, including Duncan, in order to fulfill have excessive desires, which Lady Macbeth pushed him to do. As a result, it to clear from the phrases that the three witches in Macbeth used to the inform the audience about Macbeth's activities that Macbeth would face many difficulties.
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The complete question follows
Read the following lines that a group of witches say in Macbeth .What do these lines let the audience know that Macbeth is going to do?
Double double toil and trouble;
Fire burn and couldron bubble.
A) struggle a lot
B) catch fire
C) meet someone who looks like him
D) buy a cauldron
how is the second law demonstrated in the experiment when we use a single fixed mass? group of answer choices the experiment demonstrates the acceleration as being proportional to the force. the experiment shows that that the net force is the sum of forces acting on the object. the experiment shows that the motion of the object stops when the force stops. the experiment shows that the application of force causes the object to acquire a constant speed. that the net force applied is zero. the experiment shows that when a constant force is applied the acceleration increases continuously. the experiment shows that when a force is applied the mass changes inversely with it.
Experiment demonstrates second law of motion, where acceleration is directly proportional to force and inversely proportional to object's mass.
The second law of motion states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass. In an experiment where a single fixed mass is used, the second law is demonstrated by the acceleration being proportional to the force applied to the object. As the force acting on the object is increased, the acceleration also increases proportionally. This is because the mass remains constant and the force acting on the object is the net force, which is the sum of all the forces acting on it.
Furthermore, the experiment also shows that the motion of the object stops when the force acting on it stops, and the application of a constant force causes the object to acquire a constant speed. This is because, according to the second law, the object will continue to move with a constant velocity when there is no net force acting on it.
Therefore, the experiment with a single fixed mass is an excellent way to demonstrate the second law of motion, which states that the acceleration is directly proportional to the force applied and inversely proportional to the mass of the object.
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100 + 50 + BRAINLIST PLEASE HELP!!!
1. What are the forces acting on the block when it is hanging freely from the spring scale? What is the net force on the block? What are the magnitudes of each of the forces acting on the block? Explain.
2. What are the forces that act on the block when it is placed on the ramp and is held in place by the spring scale? What is the net force acting on the block? Explain. (Assume that the ramps are frictionless surfaces. )
3. What is the magnitude of normal force acting on the block when it is resting on the flat surface? How does the normal force change as the angle of the ramp increases? Explain. (Assume that the ramps are frictionless surfaces. )
1. The forces acting on the block while it is hanging freely are gravitational force and tension force.
2. The forces acting on the block while placed on the ramp with the spring scale are:
The force of gravity acting downwardThe normal force acting upward from the rampThe tension force acting upward from the spring scale3. The magnitude of the normal force acting on the block when it is resting on a flat surface is equal to the force of gravity acting on the block, or m * g.
Forces acting on the Block1. The forces acting on the block when it is hanging freely from the spring scale are:
The force of gravity (also known as weight) acting downwardThe tension force acting upward from the spring scaleThe net force on the block is zero, as the block is in static equilibrium, meaning that the sum of all forces acting on the block is equal to zero.
The magnitude of the force of gravity acting on the block can be calculated using the formula:
F_gravity = m * g
where m is the mass of the block and g is the acceleration due to gravity (approximately 9.8 m/s^2).
The magnitude of the tension force acting on the block is equal to the reading on the spring scale, as the scale measures the tension in the string to which the block is attached.
2. The forces acting on the block when it is placed on the ramp and held in place by the spring scale are:
The force of gravity acting downwardThe normal force acting upward from the rampThe tension force acting upward from the spring scaleThe net force acting on the block is equal to the force of gravity minus the normal force, as the ramp is a frictionless surface and there is no friction acting on the block. This net force will cause the block to accelerate down the ramp.
The magnitude of the normal force acting on the block can be calculated using the formula:
F_normal = m * g * cos(θ)
where θ is the angle of the ramp with respect to the horizontal.
3. The magnitude of the normal force acting on the block when it is resting on a flat surface is equal to the force of gravity acting on the block, or m * g.
As the angle of the ramp increases, the normal force acting on the block decreases. This is because the component of the force of gravity acting perpendicular to the ramp (the component responsible for the normal force) decreases as the angle of the ramp increases. The decrease in the normal force leads to an increase in the net force acting on the block, causing it to accelerate down the ramp.
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if the electric field strength at the surface of the rod (not near either end) is 16 kn/c , what is the volume charge density? express your answer usi
The volume charge density of solid rod is 6.29 µC/m^3 if the electric field strength at the surface of the rod (not near either end) is 16 kN/C.
Given the radius of solid rod (r) = 4.5cm = 0.045m
The electric field strength of rod (E) = 16kN/C
Let the volume charge density = ρ
The volume charge density can be calculated using the formula:
Volume charge density = 2∈0E/R where ∈0 is permittivity of free space
The flux along a length l of the rod's surface can be used to represent the charge contained if the rod is long enough to approximate the field using line symmetry. The latter is calculated by multiplying the charge density (a constant) by the volume of a rod length l.
ρ = [tex]2 * (8.854 *10^{-12}) * (16 * 10^{3} ) / (0.45)[/tex] = 6.29 µC/m^3.
Hence the volume charge density of solid rod = 6.29 µC/m^3.
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complete question: A long, solid rod 4.5cm in radius carries a uniform volume charge density. If the electric field strength at the surface of the rod (not near either end) is 16kN/C, what's the volume charge density?
which has a greater luminosity, a star with absolute magnitude -4 or a star with absolute magnitude 6?
A star with an absolute magnitude of -4 is brighter than one with an absolute magnitude of 6.
No matter how far a star is from Earth, its absolute magnitude provides a measure of its inherent brilliance. A difference of 5 magnitudes corresponds to a 100-fold increase in brightness on the logarithmic magnitude scale. The result is that a star with a smaller absolute magnitude is more bright than a star with a bigger absolute magnitude. By a difference of 10 magnitudes, or a factor of 10,000 in luminosity, the star with absolute magnitude -4 is brighter than the star with absolute magnitude 6, in this instance. In other words, the star with absolute magnitude -4 is 10,000 times more brilliant than the star with absolute magnitude 6, according to this statement.
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consider a circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, by what factor is the brightness of the other bulb multiplied?
A circuit in which two light bulbs with equal resistance values are connected in parallel. if one of the light bulbs burns out, By factor (2) is the brightness of the other bulb multiplied.
When two identical light bulbs are connected in parallel, the total resistance of the circuit is half of the resistance of each individual bulb. If one of the bulbs burns out, the total resistance of the circuit doubles, which means that the current through the remaining bulb is halved. The brightness of a light bulb is directly proportional to the current passing through it, so the brightness of the remaining bulb will be reduced by a factor of 2.
I = V/R
If both bulbs have the same resistance R and the same voltage V is applied to each, then the current passing through each bulb is:
I = V/R
When both bulbs are connected in parallel, the total current in the circuit is the sum of the currents through each bulb:
[tex]I_t_o_t_a_l = I_1 + I_2[/tex]
here,
[tex]I_1[/tex] & [tex]I_2[/tex] are currents passing by each bulb.
Reserving Ohm's law:-
[tex]I_t_o_t_a_l = V/R + V/R[/tex]
Simplifying:-
[tex]I_t_o_t_a_l = 2V/R[/tex]
The power P dissipated by each bulb is given by:
[tex]P = IV = V^2/R[/tex]
So the brightness of each bulb is proportional to [tex]V^2[/tex]. If one bulb burns out, the voltage across the remaining bulb remains the same, but the resistance of the circuit doubles, so the current passing through the remaining bulb is halved. This means that the power dissipated by the remaining bulb is reduced by a factor of 2, which corresponds to a reduction in brightness by the same factor. Therefore, the brightness of the remaining bulb is reduced by a factor of 2.
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nd we place a potential difference 5.05 v across a and b, how much charge is present on the c2 capacitor?
The charge on capacitor C2 is 3.367 microcoulombs.
To determine the charge on capacitor C2, we can use the formula for capacitance:
C = Q / V
where C is the capacitance, Q is the charge, and V is the potential difference. We can rearrange this formula to solve for the charge:
Q = C * V
We first need to calculate the equivalent capacitance of the circuit, which can be found by adding the capacitances of C1 and C3 in series, and then adding that result to C2 in parallel. The equivalent capacitance is:
1/Ceq = 1/C1 + 1/C3
1/Ceq = 1/2 µF + 1/1 µF
1/Ceq = 1.5 µF
Ceq = 2/3 µF
Now we can find the charge on C2 by using the formula:
Q = C2 * V
Substituting the known values, we get:
Q = (2/3 µF) * 5.05 V = 3.367 µC
Therefore, the charge on capacitor C2 is 3.367 microcoulombs.
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what is the horizontal distance (relative to the position of the helicopter when she drops) at which the stuntwoman should have placed the foam mats that break her fall?
At 3.7s the horizontal distance that the stuntwoman ought to have put the foam mats that would cushion her fall (in relation to where the helicopter will be when she plummets) is 55.5m.
The distance between initial position of the woman and ground, y0 = 30.0 m
The horizontal velocity, vx = 15.0 m/s
The vertical velocity, vy = 10.0 m/s
Using the kinematic equation, we have
y-[tex]y_{0}[/tex] = [tex]v_{y}[/tex]t - (1/2)g[tex]t^{2}[/tex]
-(30.0 m) = (10.0 m/s)t-(1/2)(9.8 [tex]m/s^{2} t^{2}[/tex]
(4.9)[tex]t^{2}[/tex]-(10.0)t-30.0 = 0
Solving the above quadratic equation, we get t = 3.7 s
Therefore, the horizontal distance is R = (vx)(t)
R = (15.0 m/s)(3.69 s)
R = = 55.5 m
Hence 55.5m is the horizontal distance and the image shows the graph of her movements for x-, y-, vx-, and vy-time.
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The complete question is :
An image Stuntwoman descends from a helicopter that is 30.0 metres above the ground and travelling at a steady speed of 10.0 metres per second up and 15.0 metres per second down, all in the direction of the south. Neglect air resistance. (A) Where should the stuntwoman have set the foam mats to cushion her fall (in relation to where the helicopter will be when she drops)? (B) Create graphs of her movements for x-, y-, vx-, and vy-time.
how are the electric field lines oriented (relative to the surface of the conductor) close to the conductor? how does this relate to the previous question?
The electric field lines that are near a conductor are parallel to that conductor's surface. The "normal" direction is thought to be this one.
This relates to the preceding query since sound waves can cause an object to vibrate and emit its own sound waves when they strike a solid object, such as a conductor. Depending on the relative phase and amplitude of the waves, the interference with the original sound waves can be either constructive or destructive. Because it may have an impact on how waves interact with the conductor and produce interference patterns, the orientation of the electric field lines close to the conductor is crucial. In general, the conductor has a stronger impact on the sound waves the closer it is to the source of the sound, and the interference patterns might become more complicated as a result.
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