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A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to mass of 3 m moving vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is

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Important Questions on Work, Energy and Power

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JEE Main
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A ball is thrown horizontally from a height h above a staircase as shown in the figure. If the coefficient of restitution for any collision between the ball and the staircase is e, then the value of h for which the ball will bounce the same height above each step, is
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A particle of mass m collides with a stationary particle and continues to move at an angle of 45° with respect to the original direction. The second particle also recoils at an angle of 45° to this direction. The mass of the second particle is (collision is elastic),
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A ball moving with velocity 2 m s-1 collides head-on with another stationary ball of double mass. If the coefficient of restitution is 0.5, then their velocities (in m s-1 ) after the collision will be
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In a collinear collision, a particle with an initial speed v0 strikes a stationary particle of the same mass. If the final total kinetic energy is 50% greater than the original kinetic energy, the magnitude of the relative velocity between the two particles, after the collision is:
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Two bodies of masses 3 kg and 2 kg collide head-on. Their relative velocities before and after collision are 15 m s-1 and 5 m s-1, respectively. The loss of kinetic energy of the system is,
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A block of mass 0.50 kg is moving with a speed of 2.00 m s-1 on a smooth surface. It strikes another mass of 1.00 kg and then they move together as a single body. The energy loss during the collision is:
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A body of mass 4 kg moving with velocity 12 m s-1 collides with another body of mass 6 kg at rest. If two bodies stick together after collision, then the loss of kinetic energy of system is
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Adjacent figure shows the force-displacement graph of a moving body, the work done in displacing body from x=0 to x=35 m is equal to

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