A car of mass 1250 kg nbsp; is moving at

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A car of mass $1250 kg$  is moving at $ 30m/s$. Its engine delivers $30 kW  $ while resistive force due to surface is $ 750N. $  What max acceleration can be given in the car .............. $\mathrm{m} / \mathrm{s} ^{2}$

A

$\frac{1}{3}$

B

$0.25$

C

$0.5$

D

$\frac{1}{6}$

A car of mass $1250 kg$  is moving at $ 30m/s$. Its engine delivers $30 kW  $ while resistive force due to surface is $ 750N. $  What max acceleration can be given in the car .............. $\mathrm{m} / \mathrm{s} ^{2}$

Force produced by the engine $F = \frac{P}{v}\, = \,\frac{{30 \times {{10}^3}}}{{30}}=10^3N$
Acceleration=$\frac{{{\rm{Forward force by engine--resistive force}}}}{{{\rm{mass of car}}}}$
$ = \frac{{1000 - 750}}{{1250}} = \frac{{250}}{{1250}}$

=$\frac{1}{5}m/{s^2}$