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A force of (10 hat(i) - 3 hat(j) + 6hat(...

A force of `(10 hat(i) - 3 hat(j) + 6hat(k))` newton acts on a body of mass 100 g and displaces it from `(6hat(i) + 5hat(j) - 3hat(k))` metre to `(10hat(i) - 2hat(j) + 7hat(k))`m. The work done is:

A

21J

B

361J

C

121J

D

1000J

Text Solution

Verified by Experts

The correct Answer is:
C
Displacement,
`vec(S)=vec(r_(2))- vec(r_(1))=(10hati - 2hatj+7hatk)-(6hati+5hatj-3hatk)`
`=4hati -7hatj + 10hatk`
Now work done, W`=vec(F).vec(S)`
`=40 + 21 + 60=121J`
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MODERN PUBLICATION-DESCRIPTION OF MOTION IN TWO AND THREE DIMENSION-Revision TEST
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