Question

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Answer 1

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1. A stone of mass m falls from a height h into sand pit and moves down into the sand through a distance s before it comes to state of rest. calculate resistance force offered by the sand on the stone

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The net force acting on the stone as it moves R sand

$m = mg - f \\ rf = mg - ma \\ {v}^{2} - {u}^{2} = 2 \: as \\ = > {v}^{2} = 2gh$

This is the initial velocity in the sand using this find n in the sand

Answer:-

$ng(1 + \frac{h}{5} )$

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Answer 2

The net force acting on the stone as it moves R sand

\begin{gathered}m = mg - f \\ rf = mg - ma \\ {v}^{2} - {u}^{2} = 2 \: as \\ = > {v}^{2} = 2gh\end{gathered}

m=mg−f

rf=mg−ma

v

2

−u

2

=2as

=>v

2

=2gh

This is the initial velocity in the sand using this find n in the sand

Answer:-

ng(1 + \frac{h}{5} )ng(1+

5

h

)