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A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to

• x2

• ex

• x

• logex

A.

x2

In this problem acceleration (a) is given in terms of displacement (x)Â  to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant.Â

Let for any displacement from 0 to x , the velocity changes from vo to v

In this problem acceleration (a) is given in terms of displacement (x)Â  to determine the velocity with respect to position or displacement we have to apply integration method.
From given information a =-kx, where a is acceleration, x is displacement and k is proportionality constant.Â

Let for any displacement from 0 to x , the velocity changes from vo to v

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Can a body be always at rest in some frame?

Yes, a body is always at rest in a frame which is fixed with the body itself.
746 Views

What is motion?

When an object changes it's position with time, with respect to it's surroundings, the object is said to be in motion.
657 Views

What is rest?

When an object does not change its position with time, with respect to it's surroundings. In such a case the object is said to be at rest.
1215 Views

Is absolute rest or absolute motion possible?

Absolute rest and absolute motion is not possible because there is no point in the universe which is at rest and can be taken as point of reference. The planet Earth is in continuous motion.
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What is the most essential thing to study the motion of a body?

The most essential thing to study the motion is reference frame. Rest and motion are relative terms. It means that an object in one situation can be in rest but in another situation, the same object will be in motion.
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