Q.

When a 2 kg car driven at 20 m/s on a level road is suddenly put into neutral gear (i.e. allowed to coast), the velocity decreases in the following manner:  

V=201+(t20)m/s  where t is the time in sec. The power (in Watt) required to drive this car at speed 10 m/s on the same road is

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answer is 5.

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Detailed Solution

P=F.v P=(ma)v a=dvdt v=201+t20 1+t20=20v 120dtdv=20v2 a=v2400 v=10m/s a=14m/s2 P=2×14×10=5Watt

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