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Find the power of an engine which can dr...

Find the power of an engine which can draw a train of `400` metric ton up the inclined plane of `1` in `98` at the rate `10 ms^(-1)`. The resistance due to friction acting on the train is `10 N` per ton.

Text Solution

Verified by Experts

Given `sin theta = (1)/(98) , m = 400 xx 10^(3) kg`
frictional force `f = 10 xx 400 = 4000 N` ,
velocity `v = 10 ms^(-1)`
`:.` Power `P = (mg sin theta + f) v`
`:. P = [(400 xx 10^(3) xx 9.8 xx (1)/(18)) + 4000] xx 10`
`=440000W=440KW`.
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