Questions in Work, Energy and Power

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A car of mass 1250 kg is moving at 30m/s. Its engine delivers 30 kW while resistive force due to surface is 750N. What max acceleration can be given in the car
A force applied by an engine of a train of mass $2.05 \times {10^6}kg$ changes its velocity from $5m/s$ to 25$m/s$ in $5$ minutes. The power of the engine is
A truck of mass 30,000kg moves up an inclined plane of slope 1 in 100 at a speed of 30 kmph. The power of the truck is (given $g = 10m{s^{ - 1}})$
A 60 kg man runs up a staircase in 12 seconds while a 50 kg man runs up the same staircase in 11, seconds, the ratio of the rate of doing their work is
A pump motor is used to deliver water at a certain rate from a given pipe. To obtain twice as much water from the same pipe in the same time, power of the motor has to be increased to
What average horsepower is developed by an 80 kg man while climbing in 10 s a flight of stairs that rises 6 m vertically
A car of mass 1000 kg accelerates uniformly from rest to a velocity of 54 km/hour in 5s. The average power of the engine during this period in watts is (neglect friction)
A quarter horse power motor runs at a speed of 600 r.p.m. Assuming 40% efficiency the work done by the motor in one rotation will be
An engine pumps up 100 kg of water through a height of 10 m in 5 s. Given that the efficiency of the engine is 60% . If $g = 10m{s^{ - 2}}$, the power of the engine is
A force of $2\hat i + 3\hat j + 4\hat k\;N$acts on a body for 4 second, produces a displacement of $(3\hat i + 4\hat j + 5\hat k)m.$The power used is

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