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How does the elastic potential energy in a mass spring system change if the displacement of the mass is doubled?
The elastic potential energy (EEp) of the spring with displacement x from its original length is given by:
EEp = 1/2 kx2 (can be proved using integration)
where k is the spring constant of the spring.
So, if the displacement of the mass is doubled, the elastic EEp stored will increase by 22, that is by 4.
What else can I help you with?
How does the energy stored in a capacitor change when the potential difference across it is doubled?
When the potential difference across a capacitor is doubled, the energy stored in the capacitor increases by a factor of four.
Which example best illustrates a change from elastic potential energy to kinetic energy?
A ball dropped from a height transforms its stored elastic potential energy due to gravity into kinetic energy as it accelerates downward.
In Hooke law what does the x represent?
In Hooke's law, "x" typically represents the displacement or change in position of an object from its equilibrium position. This displacement is proportional to the restoring force exerted by a spring or elastic material.
Which physical quantity remains constant in an elastic collision?
In a uniform circular motion,the magnitude of velocity remains constant,that is speed is constant,however due to change in direction in circular path constantly the motion is accelerated due to change in velocity.
How does potential energy change when things are pushed or pulled?
When things are pushed or pulled, their potential energy can change depending on the direction of the force applied. For example, pushing an object upwards against gravity will increase its gravitational potential energy, while pulling an object downwards will decrease it. The amount of potential energy change depends on the displacement of the object and the strength of the force applied.
How does the energy stored in a capacitor change when the potential difference across it is doubled?
When the potential difference across a capacitor is doubled, the energy stored in the capacitor increases by a factor of four.
Which example best illustrates a change from elastic potential energy to kinetic energy?
A ball dropped from a height transforms its stored elastic potential energy due to gravity into kinetic energy as it accelerates downward.
What piece of apparatus would you use to change elastic potential energy into kinetic energy?
A spring would be the apparatus used to change elastic potential energy into kinetic energy. When a compressed or stretched spring is released, it converts the stored potential energy into kinetic energy as it returns to its equilibrium position.
Is displacement the change in velocity of an object?
Velocity is change in displacement over time.
How does the volume of a cylinder change if the height is doubled?
The volume will be doubled.
Energy stored in rocks as a change in shape?
Energy stored in rocks as a change in shape is known as elastic potential energy. When stress is applied to the rock, it deforms and stores potential energy until it is released, causing the rock to return to its original shape. This energy can be released suddenly, resulting in events like earthquakes.
In Hooke law what does the x represent?
In Hooke's law, "x" typically represents the displacement or change in position of an object from its equilibrium position. This displacement is proportional to the restoring force exerted by a spring or elastic material.
How does volume of prism change if each dimension of the prism is doubled?
The answer gets doubled.
Which physical quantity remains constant in an elastic collision?
In a uniform circular motion,the magnitude of velocity remains constant,that is speed is constant,however due to change in direction in circular path constantly the motion is accelerated due to change in velocity.
How does the area of a triangle change when the height is doubled?
If the base stays the same, the area is also doubled.
How would the circumference of a circle change if you doubled its diameter?
When you double the diameter, the circumference is also doubled.
How does the frequency of a wave change when the period of a wave is doubled?
The frequency is the reciprocal of the period. If the period is doubled, the frequency will change by a factor of 1/2.
