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A block of mass m strikes a light pan fitted with a vertical spring after falling through a distance h. If the stiffness of the spring is k, find the maximum compression of the spring.

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Important Questions on Work, Energy and Power

HARD
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>ILLUSTRATION 8.52
Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in the figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block m1?
MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>ILLUSTRATION 8.53

A chain of length L and mass M is held on a frictionless table with 1nth of its length hanging over the edge. When the chain is released, find the velocity of chain while leaving the table.

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MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>ILLUSTRATION 8.54

A body of mass m hangs by an inextensible string that passes over a smooth mass less pulley that is fitted with a light spring of stiffness k as shown in figure. If the body is released from rest and the spring is undeformed, calculate the maximum elongation of the spring.

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MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>CONCEPT APPLICATION EXERCISE 8.4>Q 1
A uniform chain of length l and mass m overhangs a smooth table with its two-thirds part lying on the table. Find the kinetic energy of the chain as it completely slips off the table.
MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>CONCEPT APPLICATION EXERCISE 8.4>Q 2
In figure, a block slides along a track from one level to a higher level by moving through an intermediate valley. The track is friction less until the block reaches the higher level. Then there is friction force which stops the block at a distance d. The block's initial speed ν0 is 6.0 m s-1, the height difference h is 1.1 m, and the coefficient of kinetic friction μ is 0.60. Find d.

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MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>CONCEPT APPLICATION EXERCISE 8.4>Q 3
A block slides down a curved frictionless track and then up an inclined plane as in figure. The coefficient of kinetic friction between the block and incline is μk. Find the maximum height reached by the block.

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MEDIUM
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>CONCEPT APPLICATION EXERCISE 8.4>Q 4
A block of mass m is released from the point A in the figure. The track is frictionless except for the portion between points B and C, which has a length of dBC. The block travels down the track, hits a spring of force constant k, and compresses the spring x from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between B and C.

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HARD
JEE Advanced
IMPORTANT
PHYSICS For Joint Entrance Examination JEE (Advanced) Mechanics I>Chapter 8 - Work, Energy and Power>CONCEPT APPLICATION EXERCISE 8.4>Q 5
A ring of mass m=10 kg can slide through a vertical rod with friction. It is connected with a spring of force constant k=400 N m-1. The relaxed length of spring is 4 m. The ring is displaced 3 m as shown in the figure and released. Find the velocity of the ring when the spring becomes horizontal.

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