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A particle constrained to move along ...

A particle constrained to move along the Y axis of a coordinate system in subject to a constant force .
` vec(F) = (5 hati + 4hatj + 3hatk)` newton.
What is the work done by this force is moving the particle throught 5 m along the Y axis ?

A

12 J

B

15 J

C

18 J

D

20 J

Text Solution

Verified by Experts

The correct Answer is:
D
Give: `vec(F) = (5hati + 4hatj - 3hatk)`
and `vec(s) = 5hatj` , as it moves 5 m along the Y axis
` therefore E = vec(F) .vec(s) = (5hati + 4hatj - 3hatk).(5hatj)`
`therefore ` Work done (W) ` = 20 hatu .hatj = 20 J`
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