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A particle is moving in a circular path on the vertical plane. It is attached at one end of a string of length I whose other end is fixed. The velocity of the particle at the lowest point is u. The tension in the string is T and the acceleration of the particle is a at any position. Then, T.a is zero at the highest point if

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Important Questions on Work, Energy and Power

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A bob of mass M is suspended by a massless string of length L. The horizontal velocity V at position A is just sufficient to make it reach the point B. The angle θ at which the speed of the bob is half of that at A, satisfies

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The work done in slowly pulling up a block of wood weighing 2 kN for a length of 10 m on a smooth plane inclined at an angle of 15º with the horizontal by a force parallel to the incline is
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Two equal masses are attached to the two ends of a spring of spring constant k. The masses are pulled out symmetrically to stretch the spring by a length x over its natural length. The work done by the spring on each mass is
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A particle is dropped from a height h. A constant horizontal velocity is given to the particle. Taking g to be constant everywhere, kinetic energy E of the particle w. r. t. time t is correctly shown in
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A body moving at 2 m s-1 can be stopped over a distance x. If its kinetic energy is doubled, how long will it go before coming to rest, if the retarding force remains unchanged?
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A rod of length 1 m and mass 0.5 kg hinged at one end is initially hanging vertically. The other end is now raised slowly until it makes an angle 60ºwith the vertical. The required work is : (use g= 10 m s-2)
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A small mass slides down an inclined plane of inclination θ with the horizontal. The coefficient of friction is μ=μox, where x is the distance through which the mass slides down and μo a positive constant. Then the distance covered by the mass before it stops is
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A toy car of mass 5 kg starts from rest and moves up a ramp under the influence of force F(F is applied in the direction of velocity) plotted against displacement x. The maximum height attained is given by

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