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Question

A force F=5^i3^j+2^k moves a particle from r1=2^i+7^j+4^k to r2=5^i+2^j+8^k then work done is:

A
48 units
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B
32 units
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C
38 units
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D
24 units
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Solution

The correct option is B 38 units
s=r2r1 =(5^i+2^j+8^k)(2^i+7^j+4^k) =3^i5^j+4^k
Work done is given by W=F.s =(5^i3^j+2^k).(3^i5^j+4^k) =15+15+8=38 units

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