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# Kinetic Energy - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

## Quick Facts

• Kinetic energy is considered one the most difficult concept.

• 42 Questions around this concept.

## Solve by difficulty

An athlete of mass 50kg in the olympic games covers a distance of 100 m in 10 s. His kinetic energy can be estimated to be in the range

A particle is projected at 600   to the horizontal with a kinetic energy . The kinetic energy at the highest point

If mass-­energy equivalence is taken into account, when water is cooled to form ice, the mass of water should

A ball whose kinetic energy is ,  is projected at an angle of to the horizontal. The kinetic energy of the ball at the highest point of its flight will be

Consider the following two statements

A         Linear momentum of a system of particles is zero.

B         Kinetic energy of a system of particles is zero.

Then

A particle of mass 100 g is thrown vertically upwards with a speed of 5 m/s. The work (in Joule) done by the force of gravity during the time the particle goes up is :

A mass of M kg is suspended by a weightless string . The horizontal force that is required to displace it until the string making an angle of 45 with the initial vertical direction is

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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 :

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle, the motion of the particle takes place in a plane. It follows that :

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If the momentum of a body is increased by $20%$, then its kinetic energy increases by

## Concepts Covered - 1

Kinetic energy
•  Mechanical Energy-

Mechanical energy is the sum of potential energy and kinetic energy. It is the energy associated with the motion and

position of an object.

• Kinetic energy

The energy possessed by a body by virtue of its motion is called kinetic energy.

E.g-Moving vehicle possesses kinetic energy.

1. The expression for kinetic energy

$K.E. = \frac{1}{2}mv^{2}$

Where $m\rightarrow mass$

$v\rightarrow velocity$

2. Kinetic Energy is always positive.

1.  Kinetic energy depends on the frame of reference -

The kinetic energy of a person of mass m, sitting in a bus moving with speed v, is zero in the frame of the bus but it is equal to   $\frac{1}{2}mv^{2}$ in the frame of the earth.

4. Work-energy theorem-

Net work done by all the forces acting on a particle is equal to change in its kinetic energy.

$W=\frac{1}{2}mv^{2}-\frac{1}{2}mv{_{0}}^{2}$

$W= k_{f}-k_{i}$

Where $m=mass \: of\: the\: body$

$v_{0}= initial\: velocity$

$v= final\: velocity$

This theorem is valid for a system in the presence of all types of forces (external or internal, conservative or non-                                          conservative).

5. Relation of kinetic energy with linear momentum

$k= \frac{mv^{2}}{2}$  ….. (1)

and, P = mv or  v=p/m ….. (2)

put this value of v in equation (1)

Put we get   $k= \frac{p^{2}}{2m}$

Where $p\rightarrow momentum$

$m\rightarrow mass$

## Study it with Videos

Kinetic energy

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