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A ship of mass 3xx10^7kg initially at re...

A ship of mass `3xx10^7kg` initially at rest, is pulled by a force of `5xx10^5N` through a distance of 3m. Assuming that the resistance due to water is negligible, the speed of the ship is

A

0.1 m/s

B

1.5 m/s

C

60 m/s

D

5 m/s

Text Solution

Verified by Experts

The correct Answer is:
A
From work energy theorem, `1/2 mv^(2)=F xx s`
As F and m are constant
`therefore v^(2) alpha s or s alpha v^(2)`
`therefore s_(2)/s_(1)=(v_(2)^(2))/(v_(1)^(2))=(2v_(1))/(v_(1))^(2)=4`
`therefore s_(2)=4s_(1)=4 xx 8 =32m`
The car is brought to rest in 32m.
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