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A truck of mass 30,000 kg moves up an in...

A truck of mass 30,000 kg moves up an inclined plane of slope 1 in 100 at a speed of 30 kmph . The power of the truck is `(g=10ms^(-1))`

A

25 kW

B

10 kW

C

5 kW

D

2.5 kW

Text Solution

Verified by Experts

The correct Answer is:
A
As truck is moving on an incline plane therefore only component of weight `(mg sin theta)` will oppose the upward motion
Power = force `xx` velocity `=mg sin theta xx v`
`=30000 xx 10 xx((1)/(100)) xx (30 xx 5)/(18)= 25kW`
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