A force F acting on an object varies with distance x as shown here. The force is in newton and x is in metre. The work done by the force in moving the object x = 0 to x = 6m is

An engine pumps water continuously through a hose. Water leaves the hose with a velocity v and m is the mass per unit length of water jet. What is the rate at which kinetic energy is imparted to water? 

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

If the momentum of a body is increased by 150% then the percentage increase in its kinetic energy is

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

A child swinging  a swing. Minimum and maximum heights of swing from earth’s  surface are 0.75 m and 2m respectively. The maximum velocity of this swing is 

The KE acquired by a mass m in traveling a certain distance d, starting from rest, under the action of a constant force is directly proportional to  

If kinetic energy of a body is increased by 300% then the percentage change in momentum will be

A particle of mass m₁ is moving with a velocity v₁ and another particle of mass m₂ is moving with a velocity v₂. Both of them have the same momentum but their different kinetic energies are E₁ and E₂ respectively. If m₁> m₂, then