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A 250 g block slides on aeroug horizonta...

A 250 g block slides on aeroug horizontal table. Find the work donen by the frictinal force in bringing the block to rest if it is initially moving at a speed of 40 cm/s. If the friction coefficient between te table and the block is 0.1 how far does the block move before coming to rest?

Text Solution

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The correct Answer is:
B, C
Given `m=250gm=0.250kg
`u=40 cm/sec`
=0.4m/sec, mu=0, v=0`
here, `muR=ma`
(where a is deceleration)`
`a=((muR)/m)=((mumg)/m)=mug`
`=0.1xx9.8=098m/s^2`
`s=(v^2-u^2)/(2a)=0.082m`
Again work done against friction is given by
`-W=muRscostheta`
`=1xx2.5xx0.082xx1`
`rarr+0.02J`
`rarrW=-0.02J`
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