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Question

A force F=(5^i+4^j) N displaces the body by s=(3^i+5^k) m in 3 s. Power generated will be

A
11 W
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B
6 W
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C
5 W
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D
12 W
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Solution

The correct option is C 5 W
F=(5ˆi+4ˆj)=(5ˆi+4ˆj+0ˆk)s=(3ˆi+4ˆj)=(3ˆi+0ˆj+4ˆk)
Work done (w)=f.s
=(5ˆi+4ˆj+0ˆk).(3ˆi+0ˆj+4ˆk)=(5×3)+(4×0)+(0×4)=15J
So, w=15J
Power (p)=wt=15J3sec
=5J/s=5watt
The power is 5 watt.

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