A spring whose equilibrium length is 6 m is compressed to a length of 1/2 m when a force of 15 n is applied. 187.5 mJ is the work done by the spring force while it is compressed to a length of 5 m.
compression in spring x = 5m.
spring constant = 15 n/m
Magnitude of work done = Potential energy stored in spring W = 1/2 kx²
= 1/2 × 15 × 5 × 5
= 187.5 mJ
The spring's natural length is its length without any mass attached. We suppose that the spring obeys Hooke's law: if the spring's length is modified by an amount L from its natural length, the spring produces a force
Fs = kL,
where,
k is a positive quantity known as the spring constant.
F = -kx.
The spring constant is the proportional constant k. It is a measure of the stiffness of the spring. When a spring is stretched or compressed by an amount x from its equilibrium length, it produces a force F = -kx in the direction of its equilibrium position.
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a car moving a constant 7.0 m / s turns a corner with a radius of 20 m . what is the acceleration of the car?
The acceleration of the car as it turns the corner is 2.45 m/s^2, and it is directed towards the center of the turn.
What is Acceleration?
When an object changes its velocity, either by increasing or decreasing its speed or by changing its direction of motion, it experiences acceleration.
The formula for acceleration is:
a = (v2 - v1) / t
where a is the acceleration, v2 is the final velocity, v1 is the initial velocity, and t is the time taken for the change in velocity to occur.
To find the acceleration of the car as it turns the corner, we can use the centripetal acceleration formula:
a = v^2 / r
where a is the acceleration, v is the velocity of the car, and r is the radius of the turn.
In this case, the velocity of the car is constant at 7.0 m/s, and the radius of the turn is 20 m.
a = (7.0 m/s)^2 / 20 m
a = 2.45 m/s^2
Therefore, the acceleration of the car as it turns the corner is 2.45 m/s^2, and it is directed towards the center of the turn.
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If a box of 11.54 kg is sliding down the ramp at an angle of 31.04 at a constant velocity, what is the force of friction acting on the box?
The frictional force acting on the box is just opposite to the normal force acting on the box by its weight. Here, the frictional force is,
What is friction ?Friction is a kind force that opposes the normal force acting on an object. The frictional force, is a resistive force having a negative sign always. The frictional force increases as the roughness of the surface through which the object is moving.
Here, the mass of the box m = 11.54 kg
angle of sliding = 31.04 °
acceleration due to gravity of earth = 9.8 m/s²
The frictional force that opposes the motion of the box sliding down the surface is just opposite to the normal force on the box by its own weight.
F = - mg cosθ
= - 11.54 kg × 9.8 m/s² × 31.04°
= -105.9 N
Therefore, the frictional force acting on the box is -105.9 N.
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find odd one out
stigma ,anther ,style ,ovary.
Answer:
style
Explanation:
Junita lifts a round box & a square box to a shelf. The GPE for the round box increases by 50 J. The GPE for the square box increases by 100 J. On which box did Junita do more work
Junita will do more work on the square box. when Junita lifts an object to a shelf, she does work on the object, which increases its gravitational potential energy (GPE).
The amount of work done on an object is equal to the increase in its GPE.
Junita lifted a round box and a square box to a shelf. She did work on the boxes, increasing their GPE. The round box's GPE increased by 50 J, meaning Junita exerted 50 J of work.
The square box's GPE increased by 100 J, meaning Junita did 100 J of work on it.
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vision is blurred if the head is vibrated at 29 hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket.
There is some scientific evidence to suggest that vibration at certain frequencies can affect visual perception, but the claim that vision is blurred if the head is vibrated at 29 Hz because the vibrations are resonant with the natural frequency of the eyeball held by the musculature in its socket is not entirely accurate.
What is Eyeball resonance and vision?According to the concept of "eyeball resonance," the eyeball can vibrate at specific frequencies as a result of the tension in the muscles around it, and these vibrations can affect vision. Generally speaking, the natural frequency of the eyeball is thought to be around 20 Hz, however this frequency can change based on a number of variables, including the eyeball's flexibility and the tension of the optic nerve.
There is some evidence to support the idea that being exposed to vibration at particular frequencies can alter vision. For instance, some researchers have discovered that participants who are exposed to 25 Hz vibration may have a reduction in visual acuity, while other studies have found that those who are exposed to 10 Hz vibration may experience an increase in improve visual perception in some people.
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A 1000 kg car rests on four tires, each inflated to 2.2 bar. What surface area does each tire have in contact with the ground? (Assume the weight is evenly distributed on each wheel.)
The surface area each tire have in contact with the ground is 0.11 m².
What is the Surface area of each tire?The weight of the car is evenly distributed on each wheel, so each wheel supports a force of 1000 kg / 4 = 250 kg.
The force on the tire is transmitted to the ground through the tire's contact patch, which is the surface area of the tire in contact with the ground.
The tire's contact patch can be calculated by dividing the total force on the tire by the pressure of the tire:
Contact patch area = Force on tire / Pressure
= 250 kg x 9.8 N/kg / (2.2 bar x 10⁵ Pa/bar)
= 0.11 m²
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a wire carries a current of 60 ma. how many electrons have to pass a given point in the wire in 3.00s to produce this current?
Approximately 1.12 x 10^18 electrons would have to pass through the given point in a wire in 3.00 seconds to produce a current of 60 mA.
What are electrons?Electrons are subatomic particles that have a negative charge and are fundamental components of atoms. They are located in shells or orbitals around the atomic nucleus and play a crucial role in many physical and chemical processes.
Electrons are the carriers of electric charge in materials and are responsible for the flow of current in electrical conductors. They also play a key role in chemical bonding and reactions, as they are involved in the sharing and transfer of electrons between atoms.
Electrons are extremely small and have a mass of approximately 9.11 x 10^-31 kilograms, which is about 1/1836th the mass of a proton.
To determine the number of electrons that pass through a given point in a wire, we can use the equation:
I = Q/t
where I is the current in amperes, Q is the charge in coulombs, and t is the time in seconds.
We can rearrange this equation to solve for the charge Q:
Q = I*t
Now, use the elementary charge of an electron, which is approximately 1.602 x 10^-19 coulombs, to calculate the number of electrons that pass through the wire in 3.00 seconds:
Q = (60 mA) * (3.00 s) = 0.18 C
Number of electrons = Q / e = 0.18 C / (1.602 x 10^-19 C/e) = 1.12 x 10^18 electrons
Therefore, approximately 1.12 x 10^18 electrons would have to pass through the given point in the wire in 3.00 seconds to produce a current of 60 mA.
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A slanting line was obtained on plotting the displacment-time graph of an object. The object is in ____________ motion.
Answer:
Uniform Motion
Explanation:
When an object travels equal distances (in this case displacement) in equal intervals of time, it is said to be in uniform motion.
An apple weighs at 1N. the net force on the apple when it is in free fall is?a.0Nb.0.1Nc.1Nd.10Ne. none of the abov
The net force on the apple when it is in free fall is option C: 1N, as the net force experiences by the object in a free fall is under the influence of the gravity.
Free-fall of an object is independent of its weight. The object is fall downwards due to gravity; thus, the object only experiences an external force and undergoes acceleration due to gravity. This means if the objects weights at 1N, the net force on the apple would also be 1N.
Free-fall is a motion of an object caused under the influence of the gravity. As the gravity is the external force here that makes the object to fall, the object would be accelerated owing to this external force. This is the reason why free-fall is referred to as the acceleration due to gravity. The force experienced by the gravity is always constant, and this constant is called the gravitational constant and has a value equivalent to 9.8 m/s².
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If you add 2.34 C to an object, how many electrons did you add?
DO NOT ROUND YOUR NUMBER
An example on how to type your number in in scientific notation 2.6e19
2.34 C corresponds to[tex]2.34 x 10^6[/tex] Coulombs, which is equal to [tex]2.34 x 10^6 x 6.24 x 10^18[/tex]electrons, or 1.44e25 electrons.
What is electron?Electron is a subatomic particle that is part of the atom. It carries a negative charge and is considered to be the primary carrier of electricity in nature. Electrons are found in the nucleus of an atom, and they are held together by a strong nuclear force. Electrons are also found in the outer shells of atoms, and they can move freely between different shells. Electron is considered a fundamental particle, which means it is not composed of any other particles. Electrons also have a mass of about 1/1836 of the mass of a proton. Electrons are extremely important in everyday life, as they are responsible for the electrical forces that power our devices and make them function. Electrons can also be used in various applications such as semiconductors, which are used in computers, cell phones, and other electronic devices.
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Which statement describes the best reason for having a strong hypothesis?
OA. It can be used to design an experiment.
B. It can help reinforce the scientist's preferred explanation.
C. It can help answer ethical questions.
D. It can be used to get a paper published in a scientific journal.
would a positive test particle released from rest move toward a region of higher or lower electric potential (compared to the electric potential at the point where it is released)?
A positive test particle released from rest would move towards a region of lower electric potential (compared to the electric potential at the point where it is released).
It is because of the fact that positive test particle is attracted to regions of higher electric potential and repelled by regions of lower electric potential. Since the particle is released from rest, it has no kinetic energy to overcome the potential energy barrier and move against the direction of the electric field. Therefore, it will move in the direction of decreasing electric potential, which is towards the region of lower electric potential.
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a 159 watt motor in a bowling alley lifts an 7 kg bowling ball directly upwards at a constant speed. at what speed does the ball rise?
The speed at which the ball rises is 2.24 m/s.
What is power output?Power output refers to the amount of power that a device, machine, or system produces or generates. It is a measure of the rate at which work is done or energy is transferred, and is usually expressed in units of watts (W) or kilowatts (kW).
We can use the formula for power to find the speed at which the ball rises. The power output of the motor is given by:
Power = Work done / time taken
Since the ball is lifted at a constant speed, the work done by the motor is equal to the gravitational potential energy gained by the ball, which is given by:
Work done = mgh
where m is the mass of the ball, g is the acceleration due to gravity (9.8 m/s²), and h is the height through which the ball is lifted. The time taken to lift the ball is equal to the height of the lift divided by the speed of the lift, which is given by:
time taken = h / v
where v is the speed of the lift. Substituting these expressions into the formula for power, we get:
Power = mgh / (h/v)
Power = mgv
Solving for v, we get:
v = Power / (mg)
v = 159 W / (7 kg x 9.8 m/s²)
v = 2.24 m/s
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. The air bubble formed by explosion inside water perform oscillations with time period, T which depends on pressure (P) density (p) and on energy due to explosion (E). establish the relation between T, P, E and p
The time period of oscillations of an air bubble formed by an explosion inside water depends on the pressure (P), density (p), and energy due to explosion (E). The relationship between these factors can be established using the principles of fluid mechanics and the equations for pressure, density, and energy.
The pressure of a gas inside a bubble is related to its volume and temperature, and can be described by the Ideal Gas Law:
P = (nRT)/V
where n is the number of moles of gas, R is the gas constant, T is the temperature, and V is the volume of the gas.
The density of a fluid is related to its mass and volume, and can be described by the equation:
p = m/V
where m is the mass of the fluid and V is its volume.
The energy due to the explosion can be described by the equation:
E = (1/2)mv^2 + P_0V_0 - P_fV_f
where m is the mass of the gas, v is its velocity, P_0 and V_0 are its initial pressure and volume, and P_f and V_f are its final pressure and volume.
By combining these equations and using the principles of fluid mechanics, it is possible to establish a relationship between the time period of the oscillations (T), pressure (P), energy due to the explosion (E), and density (p). However, the exact relationship will depend on the specific conditions of the explosion and the fluid in which it occurs.
________________________________________________________
a scale reads 320 n when a piece of copper is hanging from it. what does it read (in n) when it is lowered so that the copper is submerged in water?
The scale will read 290.6 N when the piece of copper is submerged in water.
The Force exerted by the mass of the copper piece is 320 N according the scale reading, We know that Weight = mg where m is the mass of the object and g is the acceleration due to gravity (9.8 m/s²). Therefore the mass of the copper piece is :
⇒Weight = mg
⇒m = Weight/g
⇒m = 320/9.8
⇒32.65 kg
Now , we know that density = mass/volume. The density of copper is 8830 kgm⁻³.
∴ Volume = mass/density
⇒ 32.65/8830
⇒ 0.003 m³
Now, Apparent weight = (Weight of the object) - (Weight of the volume of liquid displaced by the object)
Formula for buoyant force = (volume displaced) x (acceleration due to gravity) x (density of the liquid). Density of water is approximately 1000kg/m³
Therefore, Apparent weight of the copper piece :
⇒ Actual weight - Buoyant force
⇒ 320N - [1000 x 0.003 x 9.8]
⇒ 320N - 29.40N
⇒ 290.6 N
Therefore, the scale will read 290.6 N when the copper piece is submerged in water.
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Help please. Urgently need answer
The final kinetic energy of the lead bullet after the impact is 50 J.
option A.
What is the final kinetic energy of the system?
The final velocity of the lead bullet system will be used to determine their final kinetic energy after the impact.
m1u1 + m2u2 = v ( m1 + m2 )
where;
u1 and u2 are the initial velocitiesm1 and m2 are the massesv is the final velocity of the lead bullet after the impact( 0.05 x 200) + 0.95(0) = v ( 0.05 + 0.95 )
10 m/s = v
K.E_final = ¹/₂mv²
= ¹/₂ ( 0.05 + 0.95 ) (10²)
= 50 J
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Read the list of sentences from the article.
1 In a physical change, the material involved is structurally the same
before and after the change.
2 A piece of metal may be heated in a fire until it glows, but the metal is
the same material before heating and after cooling.
3 Chemical changes require the breaking and forming of chemical bonds
during a chemical reaction.
4 The creation of a new, solid substance from two liquid substances
indicates that a reaction has taken place that has altered the original
substances.
Which two sentences, taken together, provide the BEST evidence to support the idea
that both physical and chemical changes can significantly change the appearance of a
substance?
(A) 1 and 3
(B) 1 and 4
(C) 2 and 3
(D) 2 and 4
The best evidence that a substance's appearance can be significantly altered by both chemical and physical changes is the combination of examples 1 and 3.
Option A is correct.
What exactly is a change in the body?A substance undergoes a change in its physical characteristics when it undergoes a physical change. Most of the time, a physical change can be reversed. In the course of such a transformation, no chemical substance is produced.
What are two examples of physical and chemical changes?Chemical changes include processes like burning, frying, rusting, and rotting. The processes of melting, freezing, shredding, and boiling are all examples of physical modifications. The majority of physical symptoms can be reversed with enough energy.
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Which two types of energy does an apple falling to the ground have?
A. Nuclear energy
B. Kinetic energy
C. Sound energy
D. Elastic energy
E. Potential energy
Answer:
kinetic and I think sound energy
Answer:
kinetic energy
Explanation:
An apple falling to the ground has both potential energy and kinetic energy. As the apple falls, its potential energy is converted into kinetic energy, which is the energy an object has due to its motion. The apple gains kinetic energy as it falls and its velocity increases, and at the moment it reaches the ground, all of its potential energy has been converted into kinetic energy.
ALLEN
7. The average compensation for female tennis players is $283,635, but the median compensation is much lower at around $76,000. Why are these numbers so different?
OA. Outliers who win very little prize money pull the median down.
OB. Outliers who win very little prize money pull the average down.
O C. Outliers who win a lot of prize money pull the median up.
OD. Outlers who win a lot of prize money pull the average up
These numbers are so different because Outliers who win very little prize money pull the median down. Thus, the correct option for this question is A.
What is Compensation?Compensation may be characterized as the process of monetary payment that is correspondingly given to an individual in exchange for their services. It includes salary or wages in addition to commission and any incentives or perks that come with the given employee's position.
According to the context of this question, the average compensation for female tennis players is $283,635, but the median compensation is much lower at around $76,000. This is due to the existence of outliers who win. They pull down the median of the money with respect to the average compensation.
Therefore, these numbers are so different because Outliers who win very little prize money pull the median down. Thus, the correct option for this question is A.
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An 420 kg car accelerates from 0 to 50 m/s^2 in 4.3 s.
What is the acceleration of the car and what is the force produced by the
car?
The acceleration of the car is [tex]11.63 m/s^2.[/tex] The force produced by the car is 4,876.4 Newtons.
How to calculate the force and acceleration?
To find the acceleration of the car, we can use the formula:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 0 m/s, the final velocity is 50 m/s, and the time is 4.3 s. Substituting these values into the formula, we get:
acceleration = (50 m/s - 0 m/s) / 4.3 s =[tex]11.63 m/s^2[/tex]
Therefore, the acceleration of the car is[tex]11.63 m/s^2.[/tex]
To find the force produced by the car, we can use Newton's second law of motion, which states that force is equal to mass times acceleration:
force = mass x acceleration
In this case, the mass of the car is 420 kg, and the acceleration is 11.63 m/s^2. Substituting these values into the formula, we get:
[tex]force = 420 kg \times 11.63 m/s^2 = 4,876.4 N[/tex]
Therefore, the force produced by the car is 4,876.4 Newtons.
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what electric field is generated when a current of 10 a flows through this resistor? give both the magnitude and direction of this electric field.
The electric field generated when a current of 10 A flows through a resistor depends on the resistance and length of the resistor. Without knowing these factors, we cannot determine the exact electric field.
However, we can use Ohm's law to calculate the voltage drop across the resistor, which is directly proportional to the electric field. Ohm's law states that the voltage drop across a resistor is equal to the product of the current and the resistance.
Assuming a resistance of 5 ohms, the voltage drop across the resistor would be 50 volts (10 A x 5 ohms = 50 V). This means that the electric field generated would be 50 V/m, assuming a length of 1 meter. The direction of the electric field would be from the positive end of the resistor to the negative end, following the direction of current flow.
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in photoelectric absorption to dislodge an inner-shell electron from its atomic orbit, the incoming x-ray photon must be able to transfer a quantity of energy:
When an x-ray photon interacts with an atom, it can transfer a quantity of energy to an inner-shell electron, thereby dislodging it from its atomic orbit.
This energy transfer is known as the photoelectric effect, or photoelectric absorption. In order for this energy transfer to occur, the energy of the incoming x-ray photon must be equal to or greater than the binding energy of the electron to its orbit. The binding energy is the amount of energy required to remove an electron from its orbital. When the energy of the incoming x-ray photon is greater than the binding energy, the extra energy is released in the form of kinetic energy, which can be used to eject the electron from its orbit. This kinetic energy is then transferred to the atom and is used to excite or ionize other electrons. Once the electron has been ejected, it is then free to travel through the atom, leaving behind a positively charged atom, or ion. This process of photoelectric absorption is essential for x-ray imaging and spectroscopy, as it allows for the detection of inner-shell electrons.
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Two friends are playing with a toy telephone. Which of the points P,Q and R will vibrate if one of the friends speak into the cup? Justify your answer
The point that will vibrate the most when one of the friends speaks into the cup is point Q as vibration dampens and energy is lost due to friction.
In a toy telephone, sound is transmitted through a string that connects two plastic cups. When one person speaks into one cup, the sound waves vibrate the cup, which in turn vibrates the string and causes the other cup to vibrate as well.
Assuming that the string is held taut, the vibration of the cups will depend on the placement of the points P, Q, and R, as shown in the figure. If the string is not taut, the cups may not vibrate at all, or the vibrations may be too weak to transmit the sound effectively.
Point P is located at the midpoint of the string, and it will not vibrate much because the two cups are attached to it and there is no space for it to move.
Point Q is located at one end of the string, and it will vibrate the most when one of the friends speaks into the cup. This is because the cup will vibrate the string, and the vibration will be transmitted all the way to the other end of the string, where point Q is located.
Point R is located between P and Q, and it will vibrate to some extent, but not as much as point Q. This is because the vibration will be damped as it travels along the string, and some of the energy will be lost due to friction.
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A natural-gas pipeline with a diameter of .220 m delivers 1.44 m^3 of gas per second. What is the flow speed of the gas?
A natural-gas pipeline with a diameter of .220 m .The pipeline's gas flows at a speed of approximately 38.00 m/s.
How can the gas's speed be determined?We need to divide the gas's volume flow rate by the pipeline's cross-sectional area to determine the gas's flow speed in the pipeline. The given volume flow rate is 1.44 m3/s. The following formula can be used to determine the pipeline's cross-sectional area:
A = π × r²
A is the cross-sectional area
π is approximately equal to 3.14
r is the radius of the pipeline (half of the diameter)
Substituting the diameter of the pipeline into the formula for the radius:
r = d / 2
r = 0.220 m / 2
r = 0.110 m
A = π × r²
A = 3.14 × (0.110 m)²
A = 0.0381 m²
Now that we have the cross-sectional area of the pipeline, we can divide the volume flow rate by the area to find the flow speed:
v = Q / A
v = 1.44 m³/s / 0.0381 m²
v = 38.00 m/s
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An object has a force of 10 newtons from the right and 17 newtons from the left. Once the object starts moving toward the right, an additional force of 2 newtons is applied from the right. What can you conclude about the direction of motion of the object after the application of the additional force?
The conclusion about the direction of motion of the object after the application of the additional force is the object will not move in either the left or right direction, because the net force will be zero.
What is force?In physics, a force is an influence that can change the motion of an object.
The object initially encountered unbalanced forces of 10 N from the right and 17 N from the left, resulting in a net force of 7 Netwons, which caused the object to travel in the direction of the right.
The object ceased to move in either direction when a force of 7 Newtons was added from the right, as the net force decreased to zero, creating balanced forces from both directions.
Therefore, the object will continue to move with a constant velocity.
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No one in Rohan's immediate family has cancer. What does this MOST likely mean?
OA. He will never get cancer.
OB. His mom does not have cancer-causing genes.
OC.
His dad does not have cancer-causing genes.
D.
He could possibly get cancer.
Answer:
D. He could possibly get cancer.
Explanation:
The correct answer is D. He could possibly get cancer. While having no immediate family members with cancer is a good sign, it does not guarantee that he will never get cancer. It simply means that his parents do not have any known cancer-causing genes.
you have a light spring, a metre scale and a known mass. how will you find the time period of oscillation of mass without the use of a clock ?
We can determine the time period of oscillation of a known mass using a light spring and a meter scale without the use of a clock.
To find the time period of oscillation of a known mass using a light spring and a meter scale without the use of a clock, we can follow these steps:
Hang the spring vertically from a fixed support, and attach the known mass to the bottom of the spring.Displace the mass slightly from its equilibrium position and release it. The mass will oscillate up and down on the spring.Measure the length of the spring (from the fixed support to the bottom of the mass) using the meter scale.Measure the maximum displacement of the mass from its equilibrium position using the meter scale.Repeat step 4 several times and take the average of the measurements to reduce errors.Use the formula for the time period of oscillation of a mass-spring system: T = 2π√(m/k), where m is the mass of the object and k is the spring constant.Calculate the spring constant k using the measured length and maximum displacement of the mass, and the known properties of the spring.Use the calculated spring constant and the known mass to find the time period of oscillation of the mass.Learn more about oscillation :
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PLEZS HELP I DON'T GET IT WILL MARK BRANILEST FOR THE BEST ANSWER :) Imagine that you were flying a small aircraft alone and had to
make an emergency landing in the forest below. Being the
amazing pilot that you are, you land safely, but your aircraft
is badly damaged and will not fly. It will be several days before
help can make it out to you, and you only have five items in
your emergency survival kit.
Would you rather land in a taiga or a temperate coniferous
forest? Why? What would you want in your survival kit and why?
What would you need from the forest to survive? What would the
dangers be?
Write your response in complete sentences.
Solve problems 1 and 2.
Answer:
both questions are B
Explanation:
I observed the photo and I saw two Bs circled in the photo. Hope this helps!
What happens to the time period of a simple pendulum if the amplitude is doubled?
When producing modest swings, the amplitude frequently has no impact at all on the pendulum's period. There is a tiny but insignificant rise in the period when the pendulum's amplitude is greater.
What alter on time period pendulum if amplitude changed?The distance to travel increases as the amplitude rises, but when the restoring force rises as well, the acceleration rises correspondingly.
This implies that the mass can move faster and cover a bigger distance. Since these qualities cancel one another, amplitude has no bearing on period.
A straightforward harmonic oscillator's period is independent of its amplitude. with the graphs of acceleration and velocity produced by the time derivatives. These oscillators also show how kinetic and potential energy can be transferred.
Therefore, the length of time is unrelated to the vibration's magnitude. Time period is unchanged by doubling the oscillation's amplitude.
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