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A body of mass 2 kg moving on a horionta...

A body of mass 2 kg moving on a horiontal surface with apeed `v_(i)=1ms^(-1)` enters a rough patch ranging from `x=0.5m` to `x=1.5m.` If the body comes to rest after pussing the patch, then find the retarding force on the body.

Text Solution

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Hint : W-E theorem.
`f_(r).s=(1)/(2)m(v_(f)^(2)-v_(i)^(2))`
`W=K_(f)-K_(i)`
`f_(r)(x_(2)-x_(1))=0-(1)/(2)mv_(i)^(2)`
`f_(r)(1.5-0.5)=-(1)/(2)xx2xx1^(2)`
`f_(r)=-1N`
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