If the momentum of a body is increased by $100\%$, then the percentage increase in the kinetic energy is ............ $\%$

The bob of a simple pendulum (mass m and length $ l$) dropped from a horizontal position strikes a block of the same mass elastically placed on a horizontal frictionless table. The K.E. of the block will be

Write the definition of work and kinetic energy.

Two bodies $A$ and $B$ having masses in the ratio of $3 : 1$ possess the same kinetic energy. The ratio of their linear momenta is then

A particle of mass $m$ is initially at rest at the origin. It is subjected to a force and starts moving along the $x$-axis. Its kinetic energy $K$ changes with time as $dK / dt =\gamma$ t, where $\gamma$ is a positive constant of appropriate dimensions. Which of the following statements is (are) true?

$(A)$ The force applied on the particle is constant

$(B)$ The speed of the particle is proportional to time

$(C)$ The distance of the particle from the origin increases linearly with time

$(D)$ The force is conservative

Two bodies with kinetic energies in the ratio of $4 : 1$ are moving with equal linear momentum. The ratio of their masses is