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Question

Two constant force F1andF2 acts on a body.these forces displaces the body from point P(1, -2, 3) to Q (2, 3, 7 ) in 2s starting from rest.force F1 is of magnitude 9 N and acting along vector (2^i2^j+^k) . the positions are in meter. find work done by F1.

A
12J
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B
+12J
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C
36J
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D
36J
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Solution

The correct option is B 12J
F1=k(2^i2^ȷ+^k)d=(21)^1+(3(2))^j+(73)^k=(1)^1+(5)^j+(4)^kW1=F1d=k(2^i2^j+^k)(i+5^j+4^k)......(i)

|F1|=9
g=4k2+4k2+k2
9=3k
k=3...(ii)
putting (ii) in (i) we get
W1=12 J

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