Work, Energy and Power Test - 2

A particle of mass m has half the kinetic energy of another particle of mass m/2. If the speed of the heavier particle is increased by 2 ms^–1, its new kinetic energy equals the original kinetic energy of the lighter particle. The ratio of the original speeds of the lighter and heavier particles is

A body falling from a height of 10 m rebounds from a hard floor. If it loses 20% of its energy during the impact, then it will rise up to

If the momentum of a body is increased by 60%, then its KE increases by

A solid ball of density half that of water falls freely under gravity from a height of 18.6 m and then enters water. Up to what depth will the ball go? (g = 9.8 m/s²)

The scalar product of two vectors A and B in terms of the projections of the vectors on the x, y and z axis is

A uniform chain of length L and mass M is lying on a smooth table and 1/3 of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, the work required to pull the hanging part on the table is