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V-t to a-t Graph

A body execut...

Question

A body executes simple harmonic motion. Which one of the graphs, A to D, best shows the relationship between the kinetic energy, E, of the body and its distance from the centre of oscillation?

A

A

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B

D

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C

B

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D

C

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Solution

The correct option is C B
Total energy=kinetic energy + potential energy=constant in a system $(c)$
Potential energy is proportional to $x^{2} = k x^{2}$
Kinetic energy is equal to $E_{k} = c - k x^{2}$
Therefore graph $B$ is correct.

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