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Two springs of spring constant 1500 N m-1 and 3000 N m-1 respectively are stretched with the same force. The potential energies will be in the ratio of

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Important Questions on Work, Energy and Power

MEDIUM
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IMPORTANT
The kinetic energy K of a particle moving in a straight line depends upon the distance s as K=as2 The force acting on the particle is-
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If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant)
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The elastic potential energy of a spring-
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The amount of work done in stretching a spring from a stretched length of 10 cm to a stretched length of 20 cm is-
MEDIUM
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A block of mass 2 kg collides with a horizontal weightless spring fixed at one end and of force constant 2 N m-1. The block compresses the spring by 4 meter from the rest position. The speed of the block at the instant of collision is-
MEDIUM
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IMPORTANT
An ideal massless spring S can be compressed 2 metre by a force of 200 N. This spring is placed at the bottom of the frictionless inclined plane with makes an angle θ=30° with the horizontal: A 20 kg mass is released from rest at the top of the inclined plane and is brought to rest momentarily after compressing the spring 4 metre. Through what distance does the mass slide before coming to rest- g=10 m s-2
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If a 5 kg body falls to the ground from a height of 30 metres and if all its mechanical energy is converted into heat, the heat produced will be- 1 cal=4.2 joules
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The amount of work done in pumping water out of a cubical vessel of height 1 m is nearly- (Take g=10 m s-2)