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  • Question 1
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    A 60 kg boy lying on a surface of negligible friction throws a stone of mass 1 kg horizontally with a speed of 12 m/s away from him. With what kinetic energy does he move back due to result of this action?

  • Question 2
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    An elastic spring is compressed between two blocks of masses 1 kg and 2 kg resting on a smooth horizontal table as shown. If the spring has 12 J of energy and suddenly released, the velocity with which the larger block of 2 kg moves will be

  • Question 3
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    Two small identical spheres each of mass m are projected slant-wise from the points A and B on the ground with equal velocities uu and making same angles θ and θ as shown in the figure. They collide with each other at the highest point C of the common path. If the collision is completely inelastic, how much time after the collision the particles come back to the ground?

  • Question 4
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    A ball of mass m at rest receives an impulse I1 in the direction of north. After some time, it received another impulse Iin the direction of south. The final kinetic energy of the ball is

  • Question 5
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    A force of 1 N acts upon a mass of 1 kg for 1 second and gives it a momentum P1 and kinetic energy E1. The same force acts upon the same mass for a displacement of 1 m and gives it a momentum P2 and kinetic energy E2. Then, which of the following is correct?

  • Question 6
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    A simple pendulum of length 'l' carries a bob of mass'm'. If the breaking strength of the string is 2mg. The maximum angular amplitude from the vertical can be:

  • Question 7
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    The length of simple pendulum is 1m and mass of its bob is 50 gram. The bob is given sufficient velocity so that the bob describes vertical circle whose radius equal to length of pendulum. The maximum difference in the kinetic energy of bob during one revolution is:

  • Question 8
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    A wheel having a radius of 10 cm is coupled by a belt to another wheel of radius 30 cm. 1st wheel increases its angular speed from rest at a uniform rate of 1.57 rad/s2. The time for the 2nd wheel to reach a rotational speed of 100 rev/min is (assume that the belt does not slip):

  • Question 9
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    The bob of a simple pendulum of mass ′m′ is performing oscillations such that the tension in the string is equal to twice the weight of the bob while it is crossing the mean position. The tension in the string when the bob reaches extreme position is :

  • Question 10
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    A simple pendulum is oscillating with an angular amplitude 60. The ratio of tensions in the string when the bob reaches the mean position and the extreme position respectively is :

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