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Question

If a force F =(7 ^i6 ^j+2 ^k) N and velocity v=(6 ^i+^k) m/s, then the instantaneous power is

A
46 watts
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B
42 watts
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C
57 watts
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D
44 watts
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Solution

The correct option is D 44 watts
We know that instantaneous Power P=F.v

Given,
F =(7 ^i6 ^j+2 ^k) N
v=(6 ^i+^k) m/s,

instantaneous power
(P)=(7 ^i6 ^j+2 ^k).(6 ^i+^k)
=42+2=44 watts.

Hence option D is the correct answer

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