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A man has fallen into a ditch of width d...

A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in figure. Show that the force (assumed equal for both the friends) exerted by each friend on the road increases as the man moves up. Find the force when theman is at a depth h.

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Given, `m=5 kg of block a`
` ma= 10N`
`rarr a 10/5 = 2m/s^2` ltBrgt As there is no friction between A and B, when the block A mioves, block B remains t rest in its position.

Initial velocity of `a, u=0`
Distance to cover by B to separate out,
`S= 0.2 m`
`Acceleration , a= 2 m/s^2`
We know, `S= ut+ 1/2 at^2`
`rarr 0.2 = 0+1/2 xx 2t^2`
`rarr t^2 =0.2`
`rarr t=0.44 sec~~ 0.45 sec`.
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