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A lorry and a car moving with the same m...

A lorry and a car moving with the same momentum are brought to rest by the application of brakes , which provide equal retarding force . Which of them will come to rest in shorter time ? Which will come to rest in less distance ?

Text Solution

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`F_(1) = F_(2) and P_(1) = P_(2)`
`W = (1)/(2) mv^(2) - (1)/(2) m u^(2)`
`(1)/(2) m u^(2) = (P^(2))/(2m)`
`:. W = F.S = (P^(2))/( 2m) :. S alpha (1)/(m)`
The heavier body (lorry) comes to rest in shorter time . The lorry will come to rest in less distance .
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