Send is being dropped on a conveyor belt at the rate of M kg/s. The force necessary to keep the belt moving with a constant velocity of v m/s will be  

A metal ball of mass 2kg moving with a velocity of 36 km/h has a head on collision with a stationary ball of mass 3 kg. If after the collision, the two balls move together, the loss in kinetic energy due to collision is 

A force acts on a 3.0 g particle in such a way that the position of the particle as a function of time is given by  x = 3 t – 4 t ² +  t ^3, where x is in meter and  t  in second. The work done during the first 4 s is 

Two masses 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

A position dependent force F=(7–2x + 3x²) N acts on a small body of mass 2 kg and displaces it from x = 0 to x = 5m.

Work done in joule is

How much water  a pump of 2 k W can raise in one minute to a height of 10 m.? (Take g = m/s²)

An explosion blows a rock into three parts. Two parts go off at the right angles to each other. These two are, 1kg first part moving with a velocity of 12 ms^-1 and 2kg second part moving with  a velocity of 8ms^-1. If the third part flies off with a velocity of 4ms^-1, its mass would be 

A bomb of mass 30kg at rest explodes into two pieces of masses 18kg ad 12kg. The velocity of 18kg mass is 6ms^-1. The kinetic energy of the other mass is 

A stationary particle explodes into two particles of masses m₁ and m₂ which move in opposite directions with velocities v₁ ad v₂. The ratio of their kinetic energies E₁ / E₂ is

A ball of mass 2 kg and another of mass 4kg are dropped together from a 60 ft tall building. After a fall of 30 ft each towards earth, their respective kinetic energies will be in the ratio of