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The force required to row a boat at cons...

The force required to row a boat at constant velocity is proportional to the velocity. If it takes 10 horse power to row a certain boat at a speed of 5 km/h, how much horsepower does it take to row it at a speed of 15 km/h?

A

90

B

60

C

30

D

45

Text Solution

Verified by Experts

The correct Answer is:
A
Power P = (force F)`xx` (velocity v) `:.P=Kv^2` (given, F = kv)
`:.P_2/P_1=(v_2/v_1)^2=((15)/5)^2=9/1" " or P_2=9xxp_1=9xx10=90HP`
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