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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 the water jet. What is the rate at which kinetic energy is imparted to water? 

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Important Questions on Work, Energy and Power

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A block of mass M is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant k. The mass is released from the rest with the spring initially unstretched. The maximum extension produced in the length of the spring will be
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An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of 2 m s-1. The mass per unit length of water in the pipe is 100 kg m-1. What is the power of the engine?
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A particle of mass M, starting from rest, undergoes uniform acceleration. If the speed acquired in time T is V, the power delivered to the particle is
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The potential energy of a system increases if work is done ?
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The potential energy of a particle in a force field is U=Ar2-Br where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is
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A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude P0. The instantaneous velocity of this car is proportional to
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A block of mass 10 kg, moving in x direction with a constant speed of 10 m s-1, is subject to a retarding force F=0.1x J m-1 during its travel from x=20 m to 30 m Its final KE will be : ?
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Two similar springs P and Q having spring constants KP and KQ, such that KP>KQ. They are stretched, first by the same amount (case a ), then by the same force (case b ). The work done by the springs WP and WQ are related as, in case (a) and case (b), respectively