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A particle of mass 10 g moves along a circle of radius 6.4 cm with a constant tangential acceleration. What is the magnitude of this acceleration if the kinetic energy of the particle becomes equal to 8×10-4 J by the end of the second revolution after the beginning of the motion ?

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Important Questions on Work, Energy and Power

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Two particles of masses m1,m2 move with initial velocities u1 and u2. On collision, one of the particles get excited to the higher level, after absorbing energy ϵ. If the final velocities of particles be v1 and v2, then we must have
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A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surface. The force on the ball during the collision is proportional to the length of compression of the ball. Which one of the following sketches describes the variation of its kinetic energy K with time t most appropriately? The figures are only illustrative and not to the scale.
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A body is executing simple harmonic motion. At a displacement x, its potential energy is E1 and at a displacement y, its potential energy is E2. The potential energy E at a displacement (x+y) is
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A particle is free to move along the X-axis has potential energy given by Ux=k1-e-x2 for -x+,  where k is a positive constant of appropriate dimensions. Then:

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A stone of mass 1 kg tied to a light inextensible string of length L=103 m, is whirling in a circular path in a vertical plane. The ratio of maximum tension in the string to the minimum tension in the string is 4. If g is taken to be 10 m s-2, the speed of the stone at the highest point of the circle is:
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A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles 30° and 60° from vertical (lowest position) are T1 and T2 respectively then
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A car of mass m starts moving so that its velocity varies according to the law v=βs, where β is a constant, and s is the distance covered. The total work performed by all the forces which are acting on the car during the first t seconds after the beginning of motion is
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A block of mass 250 g is kept on a vertical spring of spring constant 100 N m-1 fixed from below. The spring is now compressed to have a length 10 cm shorter than its natural length and the system is released from this position. How high does the block rise? Take g=10 m s-2.