Kinetic Energy

A body of mass $5 \mathrm{kg}$ is moving with a momentum of $10 \mathrm{kg} \mathrm{m} {\mathrm{s}}^{-1}$. Now a force of $2 \mathrm{N}$ acts on the body in the direction of its motion for $5 \mathrm{s}$. The increase in the Kinetic energy of the body is _____ $\mathrm{J}$.

A car accelerates from rest of $u \mathrm{m} {\mathrm{s}}^{-1}$. The energy spent in this process is $E \mathrm{J}$. The energy required to accelerate the car from $u \mathrm{m} {\mathrm{s}}^{-1}$ to $2u \mathrm{m} {\mathrm{s}}^{-1}$ is $nE \mathrm{J}$. The value of $n$ is _____.

Two bodies are having kinetic energies in the ratio $16:9.$ If they have same linear momentum, the ratio of their masses respectively is:

The momentum of a body is increased by $50\%$. The percentage increase in the kinetic energy of the body is_$\_\_\_\_\_\_\_\%.$

A body is dropped on ground from a height $h_1$ and after hitting the ground, it rebounds to a height $h_2$. If the ratio of velocities of the body just before and after hitting ground is $4$, then percentage loss in kinetic energy of the body is $\frac{x}{4}$. The value of $x$ is _____.

Two bodies having same linear momentum have ratio of kinetic energy as $16:9$. Find the ratio of masses of these bodies.

A cable in the form of a spiral roll as shown in the figure has a linear density $0.25 \mathrm{kg} {\mathrm{m}}^{-1}$. It is uncoiled at a uniform speed of $2 \mathrm{m} {\mathrm{s}}^{-1}$. If the total length of the cable is $15 \mathrm{m}$, the work done in uncoiling is (neglect friction) 

If the K.E. of a body is increased by $300\%$, its momentum will increase by

Find percentage change in kinetic energy of given mass if velocity is changed by $20$ percent.

Calculate the kinetic energy of a bus of mass ${10}^4\mathrm{kg}$ moving with a speed of $108\mathrm{km} {\mathrm{h}}^{-1}$.

A uniform thin rod of length $L$, mass $m$ is lying on a smooth horizontal table. A horizontal impulse $P$ is suddenly applied perpendicular to the rod at one end. The total energy of the rod after the impulse is

When mass and speed are doubled the $\mathrm{K}.\mathrm{E}.$ increases

What is the nature of the graph between momentum of a body and its kinetic energy?

The $K\mathit{.}E\mathit{.}$ acquired by a mass $m$ in travelling a certain distance $d$, starting from rest, under the action of a constant force is directly proportional to:

A $16 \mathrm{kg}$ block moving on a frictionless horizontal surface with a velocity of $4 \raisebox{1ex}{$\mathrm{m}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{s}$}\right.$ compresses an ideal spring and comes to rest, if the force constant of the spring be $100 \raisebox{1ex}{$\mathrm{N}$}\!\left/ \!\raisebox{-1ex}{$\mathrm{m}$}\right.$, then the spring is compressed by

Two masses of $1 \mathrm{g}$ and $4 \mathrm{g}$ are moving with equal kinetic energy. The ratio of the magnitude of their momenta is

Kinetic energy of a body can be increased more by _____.

A shell explodes in mid-air. It's total: