Work, Energy an...

The energy associated with one gram of mass is

A body of mass m accelerates uniformly from rest to v₁ in time t₁. As a function of time t, the instantaneous power delivered to the body is

An electric pump is used to fill an overhead tank of capacity 9 m³ kept at a height of 10 m above the ground. If the pump takes 5 mm to fill the tank by consuming 10 kW power the efficiency of the pump should be (Take g = 10 ms^–2)

A body of mass 2 kg is projected at 20 m/s at an angle 60° above the horizontal. Power on the block due to the gravitational force at its highest point is

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to

From a waterfall, water is falling down at the rate of 100 kg/s on the blades of turbine. If the height of the fall is 100 m, then the power delivered to the turbine is approximately equal to

A 10 H.P. motor pumps out water from a well of depth 20 m and fills a water tank of volume 22380 litres at a height of 10 m from the ground. The running time of the motor to fill the empty water tank is (g = 10 m sec^–2)

A car of mass 1250 kg is moving at 30 m/s. Its engine delivers 30 kW while resistive force due to surface is 750 N. What maximum acceleration can be given in the car?

A truck of mass 30,000 kg moves up an inclined plane of slope 1 in 100 at a speed of 30 kmph. The power of the truck is (Given g = 10 m sec^–2)

A 60 kg man runs up a staircase in 12 sec while a 50 kg man runs up the same staircase in 11 sec. The ratio of the rate of doing their work is