Water falls from a height of 60 m at the rate of 15kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine?   (Take g = 10 m/s²)  

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

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 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

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 

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

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 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 block of mass M is attached to the lower end of a vertical spring. The spring is hung from a ceiling and has force constant value k. The mass is released from east with the spring initially  unstretched. The maximum extension produced in the length of the spring will be

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