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A vehicle of mass 1250 kg is driven with...

A vehicle of mass 1250 kg is driven with an acceleration 0.25 `ms^(-2)` along a straight level road against an external resistive force 500 N. Calculate the power delivered by the vehicle's engine if the velocity of the vehicle is 30 `ms^(-1)`.

Text Solution

Verified by Experts

The vehicle's engine has to do work against resistive force and make vehicle to move with an acceleration. Therefore, power delivered by the vehicle engine is
`P=["resistive force"+("mass" times "acceleration")] "(velocity)"`
`P=vec(F)_("-tot")*vec(v)=(F_("resistive")+F)vec(v)`
`" "=vec(F)_("tot")*vec(v)=(F_("resistive")+ma)vec(v)`
`" "=[(500N+(1250kg) times (0.25 ms^(-2))](30ms^(-1))`
`" "` = 24.375 KW.
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