The total electric potential energy of three point arranged in an equilateral triangle is U = k/d [qAqB + qC (qA+qB)]
From the case, we know that:
qA
qB
qC
dAB = dBC = dCA = d
U?
Electric potential energy is a potential energy needed to move a charge against an electric field. Electric potential energy can be calculated using formula:
U12 = k x (q1 x q2)/r
Total electric potential energy is the total of all electric potential energy of each charges pair.
We will calculate each pair's electric potential energy first then find the total electric potential energy.
U AB = k (qA x qB)/d
U BC = k (qB x qC)/d
U CA = k (qC x qA)/d
U = U AB + U BC + U CA
U = k (qA x qB)/d + k (qB x qC)/d + k (qC x qA)/d
U = k/d (qAqB + qBqC + qCqA)
U = k/d [qAqB + qC (qA+qB)]
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An inventor claims to have developed an engine that during a certain time interval takes in 110 MJ of heat at 415 K, rejects 50 MJ of heat at 212 K while manages to do 16.7 kW of work. Do you agree with the inventors's claim?
The claim is observed to be wrong from the calculations done regarding the efficiency of the engine.
Heat Q₁ is given as 110 × 10⁶ J
Heat Q₂ is given as 50 × 10⁶ J
Temperature T₁ is given as 415 K.
Temperature T₂ is given as 212 K.
Work done is said to be 16.7 kW hours.
So, W = 16.7 × 10³ W (3600 sec) = 16.7 × 3600× 10³ W
η₁ = W/Q₁ = (16.7 × 3600× 10³)/(110 × 10⁶) = 0.5465 = 54.65%
Efficiency of the Carnot engine = 1 - T₂/T₁ = 1 - 212/415 = 0.5 = 50%
So, the claim is observed to be wrong.
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when 400 nm light is incident on a particular metal surface, electrons are ejected with a kinetic energy of 5.0 x 10-28 j. what will the kinetic energy be for ejected electrons when 800 nm light is shined onto the same surface?
When 800 nm light is shined onto the same metal surface, the electrons will be ejected with a kinetic energy of 2.5 x 10-28 J.
This is because the energy of a photon is inversely proportional to its wavelength, so the energy of a photon with double the wavelength will be half the energy of the original photon.
The amount of kinetic energy the electrons will have is determined by the energy of the photons, which is inversely proportional to the wavelength of the light. This means that the electrons ejected by the 800 nm light will have half the kinetic energy of the electrons ejected by the 400 nm light, since the 800 nm light has twice the wavelength of the 400 nm light.
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what is defined as the excess number of hydrogen protons aligned with the static magnetic field direction (b0)?
The excess number of hydrogen protons aligned with the static magnetic field direction (b0) is called longitudinal magnetization.
When a tissue is magnetized in a direction that is parallel to the direction in which the field is oriented, this type of magnetization is known as longitudinal magnetization. The term "transverse magnetization" refers to a situation in which the direction of magnetization in the tissue is perpendicular to the direction in which the magnetic field is directed and lies in the transverse plane. When placed in a magnetic field, tissue will become magnetized along its longitudinal axis and become longitudinally magnetized.
It won't change its state unless either the magnetic field is altered or an RF pulse is used to reroute the magnetization in the material. Until then, it will continue to be in the current state. In the event that the magnetization is momentarily redirected in a different direction by an RF pulse, it will eventually revert back to its original longitudinal position after a certain amount of time has passed.
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Two narrow slits are separated by a distance d. Their interference pattern is to be observed on a screen a large distance L away:
a) Calculate the spacing Y of the maxima of the screen for light of wavelength 500 nm when L = 1 m and d = 1 cm
b) Would you expect to observe the interference of light on the screen for this situation? Explain:
c) How close together should the slits be placed for the maxima to be separated by 1 mm for this wavelength and screen distance:
(a) The spacing Y of the maxima of the screen for light is 5 x 10^-7 m. (b) Yes, we would expect to observe the interference of light. (c) The slits should be placed a distance of 500 nm apart to observe the maxima separated by 1 mm.
(a) The spacing Y of the maxima on the screen can be calculated using the formula for the interference of light from two slits:
=> Y
= L x λ / d
here L is distance from the slits to the screen,
λ is wavelength of the light,
d is distance between the slits.
Putting the values, we have:
=> Y
= 1 m x 500 nm / 1 cm
= 500 nm/cm
= 5 x 10^-7 m
(b) Yes, we would expect to observe the interference of light on the screen for this situation. This is because when light passes through two narrow slits, it creates an interference pattern on the screen that is a result of the constructive and destructive interference of the light waves. This pattern is characterized by bright and dark bands, with the bright bands representing areas of constructive interference and the dark bands representing areas of destructive interference.
(c) To calculate the distance the slits should be placed to observe the maxima separated by 1 mm, we need to rearrange the formula for Y and solve for d:
=> d
= L x λ / Y
= 1 m x 500 nm / 1 mm
= 500 x 10^-9 m
So, the slits should be placed a distance of 500 nm apart to observe the maxima separated by 1 mm.
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a car is moving at a speed of 25mph (11 m/s), suddenly the driver saw something and tried the best to brake. the magnitude of the acceleration is 6.6 m/s2 and constant. how far will it travel before being stopped in the unit of meters?
Answer:
a car is moving at a speed of 25mph (11 m/s), suddenly the driver saw something and tried the best to brake. the magnitude of the acceleration is 6.6 m/s2 and constant. how far will it travel before being stopped in the unit of meters?
when naming an ionic compound, the is always named first. to name the anion, the root of the nonmetal name is added to the suffix - . the anion o2– is therefore named .
The cation is always named first. to name the anion, the root of the nonmetal name is added to the suffix - . the anion o2– is therefore named as oxide.
In naming ionic compounds, the cation is always named first, followed by the anion. The cation is named as a metal element, while the anion is named by taking the root of the nonmetal element and adding the suffix "-ide".
For example, the anion O2– is formed by combining two oxygen atoms, resulting in a negative charge. To name this anion, the root of the nonmetal name (oxygen) is added to the suffix "-ide", giving the name "oxide".
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discuss what the centripetal force really is, as opposed to centrifugla forc,e the motion of the stopper and direction of the velocity of the stopper at any given time, and the reason for any percent error
Centripetal force is the pressure exerted on an item moving curvilinearly that is pointed in the direction of the axis of rotation or the centre of curvature.
Whenever an object moves or rotates, the centripetal force is applied perpendicular to the direction in which the object moves. The centripetal force of an item moving in a circular path always operates in the direction of the circle's center, according to Newton's second law of motion.
The Centripetal Force Formula is defined as the product of mass (in kg) and tangential velocity (in m/s) squared, divided by radius (in m). This formula states that the centripetal force will 2 times with a doubling of tangential velocity.
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how to find deflection of a pointer in centrifugal force experiment?
To find the deflection of a pointer in a centrifugal force experiment, you need to perform the following steps:
Set up the apparatus: Mount a pointer (such as a magnetic needle or a ball) on a vertical shaft, which is connected to a motor.Calibrate the pointer: With the motor off, adjust the pointer to align with the vertical axis.Apply the force: Turn on the motor and allow it to reach its maximum speed, which will generate a centifugal force.Measure the deflection: Using a protractor or a similar measuring device, measure the angle of deflection between the pointer and the vertical axis.Repeat the experiment: Repeat the steps 3 and 4 several times and average the results to get a more accurate measurement of the deflection.Calculate the force: The magnitude of the centrifugal force can be calculated using the equation F = m * r * w^2, where m is the mass of the pointer, r is the distance from the axis of rotation, and w is the angular velocity. The deflection of the pointer is proportional to the centrifugal force, so you can use the measurement of the deflection to estimate the force.
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four forces of the same magnitude but differing directions act at and tangent to the rim of a uniform wheel free to spin about its center of mass (cm). which statement about the wheel is correct?
The statement about a uniform wheel that is free to rotate about its center of mass (cm) by four forces of equal magnitude but different directions acting on and tangent to the edge is the net force on the wheel is not zero but the net torque about the CM is zero (option E)
Newton's law is used to calculate the net force acting tangent to the rim of the wheel.
∑F = ma
To spin the wheel about its center mass, the net force on the wheel must be greater than zero.
Angular momentum conservation
The torque acting on the wheel about its center mass is constant due to the principle of conservation of angular momentum.
As a result, the net torque about the CM is zero.
The question is incomplete, it should be:
Four forces of the same magnitude but different directions act at and tangent to the rim of a uniform wheel free to spin about its center of mass (CM). Which statement about the wheel is correct?
A. None of these
B. Neither the net force on the wheel nor the net torque on the wheel about the CM
is zero.
C. The net force on the wheel is not zero but the net torque about the CM is zero.
D. The net force on the wheel and the net torque on the wheel about the CM are zero.
E. The net force on the wheel is zero but the net torque about the CM is not zero.
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pls help documents are attached
Answer: do you need a essay for it? also i need a close up!!
Explanation:
jack and jill exercise in a 25.0 m long swimming pool. jack swims 9 lengths of the pool in 142.5 s (2 min and 22.5 s) , whereas jill, the faster swimmer, covers 10 lengths in the same time interval. find the average velocity and average speed of each swimmer.
The Jack and Jill exercise is a swimming exercise that involves two swimmers swimming in a pool.
Find the average velocity and average speed of each swimmer?Jack:
Velocity = 25.0 m/142.5 s = 0.175 m/s
Speed = 9 lengths x 25.0 m/142.5 s = 2.125 m/s
Jill:
Velocity = 25.0 m/142.5 s = 0.175 m/s
Speed = 10 lengths x 25.0 m/142.5 s = 2.375 m/s
In this exercise, Jack and Jill each swim a certain number of lengths of a swimming pool in a given time interval. In this case, Jack swam 9 lengths of a 25.0 m long pool in 142.5 s (2 min and 22.5s) and Jill covered 10 lengths in the same time interval.To find the average velocity and average speed of each swimmer, we will need to calculate the distance each swimmer covered and the time each swimmer took to cover the distance. Jack swam 9 lengths of 25.0 m, which is 225.0 m. Jill swam 10 lengths of 25.0 m, which is 250.0 m. Both Jack and Jill covered the distance in 142.5 s (2 min and 22.5 s). The average velocity of Jack is the distance he covered divided by the time to cover the distance. Therefore, Jack's average velocity is 225.0 m divided by 142.5 s, or 1.57 m/s. Jill's average velocity is 250.0 m divided by 142.5 s, or 1.75 m/s.To learn more about The average velocity refer to:
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which electromagnetic wave can travel the farthest distances because it has a wavelength range of greater than 1x10-1 meters? a) Gamma ray b) Radio wave c) Microwave d) X-ray
The correct option is (b) i.e. radio wave, electromagnetic wave can travel the farthest distances because it has a wavelength range of greater than 1x10-1 meters.
Radio wave have the longest wavelength range (greater than 1x10-1 meters) among all the electromagnetic waves, so they can travel the farthest distances.
Radio waves have a wavelength range that can be as long as several kilometers, which makes them suitable for long-distance communication. They can travel through the atmosphere, around the Earth's curvature, and even through solid objects like buildings, making them ideal for broadcast and communication purposes.
Gamma rays, X-rays, and microwaves, on the other hand, have much shorter wavelengths, making them less suitable for long-distance travel. Gamma rays have the shortest wavelength range and are highly energetic and penetrate through materials, making them useful for imaging and radiation therapy. X-rays have a slightly longer wavelength range and are used for medical imaging. Microwaves have a slightly longer wavelength range compared to X-rays and are used for communication, radar, and cooking.
Therefore, radio waves are the electromagnetic waves that can travel the farthest distances because they have a wavelength range that is greater than 1x10-1 meters.
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here's another please help me :(
The three different types of matter are solid, liquid, and gas. By examining the configuration of their particles, we can understand why they have various properties.
What are the five states of matter?States of matter are the divisions of matter based on the physical characteristics they reflect. They can be separated into five different states of matter: solid, liquid, gas, plasma, and bose-einstein condensate.The three different types of matter are solid, liquid, and gas. By examining the configuration of their particles, we can understand why they have various properties.A substance can exist in three different states, solid, liquid, and gaseous. Any change in a material's state of matter without a change in its chemical makeup is referred to as a physical transition.The complete question is,
How many states of matter are there?
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what is the spring constant value in terms of load extension
The spring constant, also known as the stiffness constant, is a measure of the resistance of a spring to being deformed when a force is applied to it. It is denoted by the symbol "k" and has units of N/m in the SI system.
The spring constant represents the amount of force required to cause a unit change in the length of a spring. Understanding the spring constant is important for designing and selecting springs for various applications, and for understanding the behavior of springs under different loads and extensions.
The spring constant represents the relationship between the force applied to the spring and the resulting change in its length, or extension. The equation for this relationship is given by Hooke's Law, which states that the force (F) applied to a spring is proportional to its extension (x) and is given by the equation F = kx.
The spring constant determines the stiffness of the spring and the ease with which it can be deformed. Springs with a higher spring constant are stiffer and require more force to be deformed, while springs with a lower spring constant are more flexible and require less force to be deformed. The spring constant is an important design parameter for springs and is used to select the appropriate spring for a given application.
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a railroad car of mass 2.00 x 10 4 kg moving at 3.00 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. what is the speed of the three coupled cars after the collision? (1.8 m/s)
The speed of the three coupled cars after the collision is 1.8m/s.
The mass of the railroad car is given to be 2 x 10⁴ kg and moving with 3m/s speed.
The railroad car collides and coupled with to coupled railroad cars that has the same mass as that of a single car and they are moving in the same direction with a speed of 1.2m/s.
As we know that the linear momentum will be conserved, so, we can write,
Initial Momentum = final momentum
(2 x 10⁴ x 3) + (2 x 2 x 10⁴ x 1.2) = (3 x 2 x 10⁴)V
V is the final speed of the coupled railroad cars.
V = 5.4/3
V = 1.8 m/s
So, the speed of the coupled railroad cars is 1.8m/s.
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Please help meeee i’m very confused please help me please help me please
The force developed by the boy on the left hand side is 14 N to make a net force of 10 N in th right hand side.
What is Force ?A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The total of all forces exerted on an item is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the phrase "net force" is employed.
A soccer ball takes off and travels into the air when we kick it. The ball is then being affected by a net force. A net force is also exerted on the ball when it begins to fall back to the earth and ultimately stops.
There is a net force of 10 Newton acting in the right side then the force acting by the by in the left be F N(say)
So, the net force is
11 + 21 - 8 - F = 10
F = 14 N
The force developed by the boy on the left hand side is 14 N to make a net force of 10 N in th right hand side.
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Which part of an extension ladder locks the fly section into position?
Choose matching definition
1 6 feet
2. Spur plates
3. Rung locks
4. 75 degrees
When using an extension ladder, it is important to know which part is responsible for locking the fly section into position. The part responsible for this is called the rung lock so option 3 is correct.
Rung locks are the components located at the top of the ladder that secure the fly section in place. When the rung locks are engaged, the fly section is locked into the desired position. Extension ladders are typically at an angle of 75 degrees when in use, and the rung locks help to keep the ladder in place at this angle. Additionally, spur plates are attached to the base of the ladder and help to increase stability and grip on the surface below. The size of the extension ladder can vary, but most are around 6 feet in length.
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19. (ii) an 88-g arrow is fired from a bow whose string exerts an average force of 110 n on the arrow over a distance of 78 cm. what is the speed of the arrow as it leaves the bow?
The speed of the arrow that has a mass of 88 g is 13.96 m/s
The mass of the arrow = 88 g
The force exerted by the string on the arrow = 110 N
The length of the arrow = 78 cm
The speed of the arrow can be found using the formula,
F = mv² / 2d
where F is the force exerted by the string on the arrow
m is the mass of the arrow
v is the speed of the arrow
d is the length of the arrow
Let us rearrange the equation,
v² = 2Fd / m
Let us substitute the known values in the above equation, we get
v² = 2 x110 x 78 x 10⁻² / 0.88
= 17160 x 10⁻² / 0.88
= 19500 x 10⁻²
= 195
v = √195
= 13.96 m/s
Therefore, the speed of the arrow = 13.96 m/s
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in physics class, tara discovers that the behavior of electrical power, x, in a particular circuit can be represented by the function:
If the behavior of electric power is represented by the equation f(x) = x² + 2x + 7 = 0, then the value of x will be (-1 + i√6) & (-1 - i√6).
The behavior of electric power, x, in a circuit is represented by the quadratic equation:
f(x) = x² + 2x + 7
if f(x) = 0
x² + 2x + 7
Here the value of a = 1, b = 2, c = 7
To find the value of x, we use the formula, x = (-b ± √(b² - 4ac))/2a
x = (-2 ± √(2²- 4 × 1 × 7))/(2 × 1)
x = (-2 ± √(4 - 28))/2
x = (-2 ± √-24)/2
x = (-2 ± √(-6×4)/2
x = (-2 ± 2√-6)/2
x = (-1 ± √-6)
x = (-1 + √-6) & (-1 - √-6)
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--The given question is incomplete, the complete question is:
"in physics class, tara discovers that the behavior of electrical power, x, in a particular circuit can be represented by the function f(x) = x² + 2x + 7. If f(x) = 0, solve the equation and express your answer in the simplest (a + ib) form."--
the average person passes out at an acceleration of 7g (that is, seven times the gravitational acceleration on earth). suppose a car is designed to accelerate at this rate. how much time would be required for the car to accelerate from rest to 70.9 miles per hour?
The time required for the car to accelerate from rest to 70.9 mil/h is: 0.46 s
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
The formula for uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
vf = vi + (a * t)
Where:
vf = final velocityvi = initial velocitya = accelerationGiven info:
a= 7 *9.8 m/s²vf= 70.9 mil/hvi= 0 m/st=?By converting the final velocity units from (mil/h) to (m/s) we have:
vf= 70.9 mil/h * 1609.34 m/1 * 1 h/3600 s
vf= 31.69 m/s
Applying the final velocity formula, clearing the time, and assuming the cyclist starts from rest we get:
vf = vi + (a * t)
t = (vf – vi) /a
t = (31.69 m/s – 0 m/s) /7 *9.8 m/s²
t = 31.69 m/s/ 68.6 m/s²
t = 0.46 s
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There exists a point near two charges where the electric field is equal to zero. Is the electric potential at that same point also equal to zero?a)Yes in all casesb) Maybe Yes, maybe no. Need more information.c) No in all cases.d) Yes, but only if the two charges are of unequal amounts.
The electric potential at a given point is zero if the electric field there is also zero.
No, just because there is no electric field at a certain location does not entail that there is also no electric potential there. The situation of two similar charges that are spread apart is an excellent example. Electric Potential (V): The amount of work required to move a unit positive charge in an electric field from infinity to a specific point is known as electric potential. (E) Electric Field The term "electric field" refers to the electric force per unit positive charge at a place. We use the electric field for each point charge to determine where the electric field is zero.
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do you feel yourself thrown to either side when you negotiate a curve that is ideally banked for your car's speed? what is the direction of the force exerted on you by the car seat?
The feeling of being thrown to either side while negotiating a curve is due to the centrifugal force, and the direction of this force is outwards the center of the curve.
When we negotiate a circular curve we experience a force due to the circular motion. This force is called centrifugal force. The direction of working of this force is away from the center of curve. Centrifugal force experienced by an object is equal to:
F = mv²/R
Where m is the mass of the object, v is the velocity of the object on the curve path, and R is the radius of the circular curve.
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A student is performing an activity in which two balls are pushed on a surface, and the times it takes for the balls to come to rest are recorded. What question can be best tested by the activity? How does force affect the motion of the object? What is the relationship between force and mass? How does a change in mass affect the motion of an object? What is the effect of a change of force on how fast an object moves?
The question can be best tested by the activity is: What is the coefficient of kinetic friction of the surface?
The frictional force resists the motion of the objects.
The force and mass are directly proportional to each other.
What is force?The definition of force in physics is: The push or pull on a massed object changes its velocity.
An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
If the mass increases, resisting frictional force also increases.
As the force is resistive in nature, if force increases, object's motion decreases.
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a 20-ft wire is used to support a television antenna. the wire is connected to the antenna 15 ft above the ground. how far away from the base of the tower will the other end of the wire be located?
The other end of the wire will be located 5 feet away from the base of the tower, as the total length of the wire is 20 feet and the antenna is connected to the wire 15 feet above the ground.
This is analogous to placing the antenna 15 inches along a 20-inch ruler, leaving 5 inches remaining - the same distance from the base of the tower to the other end of the wire.
It is essential that the wire is securely attached to the antenna and tower in order to safely support the antenna. If the wire is not properly secured or is not the correct length for the antenna's height and distance from the tower, the antenna may not be able to hold itself up and could fall.
To prevent this, it is important to make sure the wire is firmly connected to both the antenna and tower and the length is suitable for the antenna's height and distance from the tower.
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ethanol has δhvap = 38.6 kj/mol and δsvap = 110. j/mol k, calculate the boiling point of ethanol in °c.
The boiling point of ethanol will be 78.85 °C.
This can be calculated using Clausius-Clapeyron equation, which is:
[tex]ΔHvap / Tb = ΔSvap / R[/tex] ,
where [tex]ΔHvap[/tex] is the heat of vaporization, [tex]ΔSvap[/tex] is the entropy of vaporization, [tex]Tb[/tex] is the boiling point in Kelvin, and [tex]R[/tex] is the gas constant.
Plugging in the values given, we can solve for [tex]Tb[/tex]:
[tex]Tb = ΔHvap / (ΔSvap / R) = (38.6 kJ/mol) / (110 J/mol K) / (8.314 J/mol K)[/tex]
[tex]Tb = 351 K[/tex]
Converting to Celsius:
Tb (°C) = Tb (K) - 273.15 = 351 K - 273.15 = 78.85 °C
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the slope of the line was determined to be –2405.4 k. what is the activation energy of this reaction?
The activation energy of the reaction when the slope is given is calculated to be 19998.5 J/mol.
The minimum additional energy needed by a reactive molecule to convert into a product is known as activation energy. It is also known as the minimal energy required to energise or activate molecules in order for them to engage in a chemical reaction or transformation.
The relation between activation energy and slope is given by the expression,
- Ea/R = slope
where, Ea is activation energy
R is universal gas constant
Slope is given as -2405.4 k.
Making Ea as subject, we have,
Ea = -R × slope = -8.314 × (-2405.4) = 19998.5 J/mol
Thus, the activation energy of the reaction is calculated to be 19998.5 J/mol.
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Calculate the gravitational force between 2 small objects each with a mass of 200kg that are 2 meters apart from each other
Answer: Approximately 2.67 x 10^-2 N
The gravitational force between two objects can be calculated using the formula:
F = G * (m1 * m2) / r^2
where F is the force, G is the gravitational constant (approximately 6.67 x 10^-11 N*(m^2)/(kg^2)), m1 and m2 are the masses of the two objects, and r is the distance between their centers.
In this case, we have m1 = 200 kg, m2 = 200 kg, and r = 2 meters. Plugging these values into the formula gives:
F = 6.67 x 10^-11 N*(m^2)/(kg^2) * (200 kg) * (200 kg) / (2 m)^2
F = 6.67 x 10^-11 N*(m^2)/(kg^2) * 40000 kg^2 / 4 m^2
F = 6.67 x 10^-11 * 10000 N
F = 0.667 * 10^-6 N
So the gravitational force between the two objects is approximately 0.667 micronewtons (0.667 * 10^-6 N).
The wings on a stonefly do not flap, and thus the insect cannot fly. However, when the insect is on a water surface, it can sail across the surface by lifting its wings into a breeze. Suppose that you time stoneflies as they move at constant speed along a straight path of a certain length. On average, the trips each take 6.6 s with the wings set as sails and 24.5 s with the wings tucked in. (a) What is the ratio of the sailing speed vs to the nonsailing speed vns? (b) In terms of 1/vs, what is the difference in the times the insects take to travel the first 2.0 m along the path with and without sailing?
a) The ratio of the sailing speed v s to the non-sailing speed v ns is calculated to be 3.712.
b) In terms of 1/v s, the difference in the times the insects take to travel the first 2.0 m along the path with and without sailing is 5.41/v s.
a) We know that, v ∝ 1/t
where, v is velocity
t is time
v s is the sailing speed
v ns is non sailing speed
So, v s /v ns = 24.5/6.6 = 3.712
v ns = 1/3.712 v s = 0.27 v s ---(1)
Given, d = 2 m
We know, t = d/v
t s = 2/v s
t ns = 2/ v ns ----(2)
where, t s time taken for sailing
t ns is the non sailing time
Putting v ns = 0.27 v s in (2),
t ns = 2/(0.27 v s) ---(3)
The difference between t ns and t s is,
t d = t ns - t s
t d = 2/(0.27 v s) - 2/v s
t d = 2/v s (1/0.27 - 1)
t d = 2/v s (3.703 - 1)
t d = (2× 2.703)/v s
t d = 5.41/v s
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one of the vertical circular rides in fisics fantasy land has a radius of 35.0 m. you are sitting in a car that is just cresting the top of the ride. how fast must the car be moving in order that you momentarily lift off your seat and feel weightless?
The car must be moving at 28.75 m/s in order for a person to momentarily lift off their seat and feel weightless.
What is car?A car is a wheeled motor vehicle used for transportation. Most definitions of cars say that they typically run on roads, have seating for one to eight people, and mainly transport people rather than goods. Cars are also known as motor vehicles, automobiles, or vehicles and are typically powered by internal combustion engines fueled by diesel and gasoline.
The speed necessary for a person to momentarily feel weightless on a circular ride is known as their "escape velocity". It is calculated using the equation v = √(2gr) where v is the escape velocity, g is the acceleration due to gravity, and r is the radius of the ride.
In this case, the escape velocity would be calculated as v = √(2*9.8*35) = 28.75 m/s. Therefore, the car must be moving at 28.75 m/s in order for a person to momentarily lift off their seat and feel weightless.
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How much heat energy must be added to change 0.650 kg solid block of gold at 880° C to a liquid at 1064°C
The amount of heat energy required to change 0.650 kg of solid gold at 880°C to a liquid at 1064°C is approximately 419.36 kJ.
How much heat energy required to change solid gold to liquid?The steps for this process are as follows:
Step 1: Calculate the specific heat capacity of gold.
The specific heat capacity of gold is 0.129 J/g°C.
Step 2: Calculate the amount of energy needed to raise the temperature of 0.650 kg of gold from 880°C to 1064°C.
This can be done by multiplying the mass of the gold (0.650 kg) by the specific heat capacity (0.129 J/g°C) and the change in temperature (184°C).
The result is approximately 24.1 kJ.
Step 3: Calculate the amount of energy needed to change the state of the gold from solid to liquid.
This can be done by multiplying the mass of the gold (0.650 kg) by the latent heat of fusion for gold (395.3 J/g).
The result is approximately 257.3 kJ.
Step 4: Add the two calculated values together to get the amount of heat energy required to change 0.650 kg solid block of gold at 880°C to a liquid at 1064°C. 24.1 kJ + 257.3 kJ = 281.4 kJ.
Therefore, the amount of heat energy required to change 0.650 kg solid block of gold at 880°C to a liquid at 1064°C is approximately 419.36 kJ.
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