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A particle is...

Question

A particle is released from A along a rough track as shown in the figure and it stops at point B Horizontal displacement between point A and B is x The coefficient of friction between particle and track is $μ$ The difference in height between point A and B is

A

\frac{x}{μ}

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B

μ x

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C

(1 + μ) x

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D

x

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Solution

The correct option is B $μ x$
From work energy theorem
W = $Δ$ k
$W g + W_{n} + W_{t} = 0$
$W g = - W_{r} = μ m g x$
$m g h = μ m g x$
$h = μ x$

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