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

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 

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

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 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 

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

The identical balls A and B moving with velocities + 0.5 m/s and -0.3 m/s respectively collide head on elastically. The velocity of the balls A and B after collision will be respectively

The coefficient of restitution  e for a perfectly elastic collision

300 J of work is done in sliding a 2kg block up an inclined plane of height 10 m. Taking g = 10 m/s², work done against friction is