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

 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 coefficient of restitution  e for a perfectly elastic collision

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? 

Two bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum. The ratio of their masses is

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

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 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

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