Questions in Work, Energy and Power

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A body at rest may have
The kinetic energy possessed by a body of mass m moving with a velocity v is equal to $\frac{1}{2}m{v^2}$, provided
If the momentum of a body is increased n times, its kinetic energy increases
When work is done on a body by an external force, its
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
From a stationary tank of mass 125000 pound a small shell of mass 25 pound is fired with a muzzle velocity of 1000 ft/sec. The tank recoils with a velocity of
A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8kg mass is 6 m/sec. The kinetic energy of the other mass is
A rifle bullet loses 1/20th of its velocity in passing through a plank. The least number of such planks required just to stop the bullet is
A body of mass 2 kg is thrown up vertically with K.E. of 490 joules. If the acceleration due to gravity is 9.8$m/{s^2}$, then the height at which the K.E. of the body becomes half its original value is given by
Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

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