Questions in Work, Energy and Power

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A block of mass m initially at rest is dropped from a height h on to a spring of force constant k. the maximum compression in the spring is x then Question Image
A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It slides down a smooth surface to the ground, then climbs up another hill of height 30 m and finally slides down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is Question Image
A bomb of mass $30kg$at rest explodes into two pieces of masses $18\,kg$ and $12\,kg$. The velocity of $18\,kg$mass is $6\,m{s^{ - 1}}$. The kinetic energy of the other mass is
A mass of 100g strikes the wall with speed 5m/s at an angle as shown in figure and it rebounds with the same speed. If the contact time is $2 \times {10^{ - 3}}\,\sec$, what is the force applied on the mass by the wall Question Image
If a force F is applied on a body and it moves with a velocity v, the power will be
A body of mass m accelerates uniformly from rest to ${v_1}$ in time ${t_1}$. As a function of time t, the instantaneous power delivered to the body is
A man is riding on a cycle with velocity 7.2 km/hr up a hill having a slope 1 in 20. The total mass of the man and cycle is 100 kg. The power of the man is
A 12 HP motor has to be operated 8 hours/day. How much will it cost at the rate of 50 paisa/kWh in 10 days
A motor boat is travelling with a speed of 3.0 m/sec. If the force on it due to water flow is 500 N, the power of the boat is

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