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Newton's Laws for System of Particles

During the di...

Question

During the displacement, which of the curves shown in the graph best represents the kinetic energy of the block ?

A

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B

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C

3

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D

4

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Solution

The correct option is C 3
Applying $W - E$ theorem on the block for any compression $x$ :

$W_{e x t} + W_{g} + W_{s p r i n g} = Δ K E$

$\Rightarrow F x + 0 - \frac{1}{2} K x^{2} = \frac{1}{2} m v^{2}$

$\Rightarrow$ Kinetic energy Vs $x$ is inverted parabola.

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