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A car drives along a straight level fric...

A car drives along a straight level frictionless road by an engine delivering constant power. Then velocity is directly proportional to

A

`t^(2)`

B

`t`

C

`sqrt(t)`

D

`1/(sqrt(t))`

Text Solution

Verified by Experts

The correct Answer is:
C
The loss in K.E. /second
`=1/2 m(v_(1)^(2) -v_(2)^(2))=1/2 xx2xx10^(3) [500^(3)-400^(2)`
`=10^(3) xx(500+400)(500-400)`
`=900 xx100xx10^(-3)=9xx10^(7) J//s `
`=("Work done")/("second") =Input power
`therefore ` Efficiency `(eta)` =`("Power output")/("Power input")`
`therefore ` Power output `=etaxx` input Power
`=(75)/(100)xx9xx10^7 =6.75 xx10^(7) ` watt
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