05%20-%20Work,%20energy%20and%20power

05%20-%20Work,%20energy%20and%20power - 5 WORK ENERGY AND...

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5 - WORK, ENERGY AND POWER Page 1 ( Answers at the end of all questions ) 1 ) A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further will it penetrate before coming to rest assuming that it faces constant resistance to motion ? ( a ) 2.0 cm ( b ) 3.0 cm ( c ) 1.0 cm ( d ) 1.5 cm [ AIEEE 2005 ] 2 ) A mass ‘m’ moves with a velocity ‘v’ and collides inelastically with another identical mass. After collision the 1st mass moves with velocity v /√ 3 in a direction perpendicular to the initial direction of motion. Find the speed of the second mass after collision. ( a ) v 3 ( b ) v ( c ) 3 v ( d ) v 3 2 [ AIEEE 2005 ] 3 ) The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is ( a ) M 2 KL 2 ( b ) .L MK ( c ) K ML 2 ( d ) zero [ AIEEE 2005 ] 4 ) A spherical ball of mass 20 kg is stationary at the top of a hill of height 100 m. It rolls down a smooth surface to the ground, then climbs up another hill of height 30 m and finally rolls down to a horizontal base at a height of 20 m above the ground. The velocity attained by the ball is ( a ) 20 m / s ( b ) 40 m / s ( c ) 10 30 m / s ( d ) 10 m / s [ AIEEE 2005 ] 5 ) A body of mass m is accelerated uniformly from rest to a speed v in time T. The instantaneous power delivered to the body as a function of time is given by 2 t T mv mv 2 2 2 t T mv . 2 1 mv . 2 1 2 2 [ AIEEE 2005, 2004 ] 6 ) A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement x is proportional to 7 ) A uniform chain of length 2 m is kept on a table such that a length of 60 cm hangs freely from the edge of the table. The total mass of the chain is 4 kg. What is the work done in pulling the entire chain on the table ? 8 ) A force ) 2 3 i 5 ( F ^ ^ ^ + + = N is applied over a particle which displaces it from its origin to the point ) j i 2 ( r ^ ^ - = m. The work done on the particle in joules is ( a ) - 7 ( b ) 7 ( c ) 10 ( d ) 13 [ AIEEE 2004 ]
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5 - WORK, ENERGY AND POWER Page 2 ( Answers at the end of all questions ) 9 ) A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. If the motion of the particle takes place in a plane, it follows that ( a ) its velocity is constant ( b ) its acceleration is constant ( c ) its kinetic energy is constant ( d ) it moves on a straight line [ AIEEE 2004 ]
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