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

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

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  

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 stone is thrown at an angle of 45^o to the horizontal with kinetic energy K. The kinetic energy at the highest point 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 bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum. The ratio of their masses is

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

A body of mass m moving with velocity 3 km/h collides with a body of mass 2m at rest. Now the coalesced mass starts to move with a velocity 

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