Physics Exam Prep
Full explanation, worked examples & memory tricks in the app
Physics Exam Prep
English 7 leveled MCQs Free
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1
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5 marks Long answer
Hence derive an expression for the potential energy of an elastic stretched spring.
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The potential energy \( U = rac{1}{2} k x^2 \) where \( k \) is the spring constant and \( x \) is the displacement.
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3 marks Medium answer
Show that in case of one dimensional elastic collision of two bodies, the relative velocity of separation after the collision is equal to the relative velocity of approach before the collision.
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For elastic collisions, \( v_1 - v_2 = -(u_1 - u_2) \) holds true.
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3 marks Medium answer
Show that the elastic force of a spring is a conservative force.
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The work done by the elastic force is path-independent, confirming it is conservative.
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2 marks Short answer
The force required to just move a body up an inclined plane is double the force required to prevent the body from sliding down. Find the coefficient of friction.
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The coefficient of friction is 0.5.
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2 marks Short answer
A ball is dropped to the ground from a height of 2 m. The coefficient of restitution is 0.6. To what height will the ball rebound?
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The ball will rebound to a height of 0.72 m.
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2 marks Short answer
The spring shown below has a force constant of 24 Nm$^{-1}$. The mass of the block attached to the spring is 4 kg. Initially the block is at rest and spring is unstretched. The horizontal surface is frictionless. If a constant horizontal force of 10 N is applied on the block, then what is the speed of the block when it has been moved through a distance of 0.5 m?
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The speed of the block is 1 m/s.
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1 marks Short answer
Write a difference between elastic and inelastic collision.
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In elastic collisions, kinetic energy is conserved; in inelastic collisions, it is not.
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