Question
Medium
Solving time: 3 mins
In figure, and .
(a) Find the compression of the spring in the equilibrium position.
(b) A sharp blow by some external agent imparts a speed of to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant.
(c) Find the time period of the resulting simple harmonic motion.
(d) Find the amplitude.
(e) Write the potential energy of the spring when the block is at the left extreme.
(f) Write the potential energy of the spring when the block is at the right extreme.
The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy?
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Text solutionVerified
(a)
(b)
(c)
(d) to
Work done by applied force change in mechanical energy.
Solving this equation, we get
(f) mean position
Due to work done by the applied fore, , answer are different.
(b)
(c)
(d) to
Work done by applied force change in mechanical energy.
Solving this equation, we get
(f) mean position
Due to work done by the applied fore, , answer are different.
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Question Text | In figure, and . (a) Find the compression of the spring in the equilibrium position. (b) A sharp blow by some external agent imparts a speed of to the block towards left. Find the sum of the potential energy of the spring and the kinetic energy of the block at this instant. (c) Find the time period of the resulting simple harmonic motion. (d) Find the amplitude. (e) Write the potential energy of the spring when the block is at the left extreme. (f) Write the potential energy of the spring when the block is at the right extreme. The answers of (b), (e) and (f) are different. Explain why this does not violate the principle of conservation of energy? |
Updated On | Jan 11, 2023 |
Topic | Laws of motion |
Subject | Physics |
Class | Class 11 |
Answer Type | Text solution:1 Video solution: 3 |
Upvotes | 368 |
Avg. Video Duration | 19 min |