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A particle constrained to move along the...

A particle constrained to move along the Y axis of a co-ordinate system is subject to a constant force
`vecF=(5hati+4hatj-3hatk)` newton.
What is the work done by this force, in movong the particle trough 5 m along the Y-axis?

A

12J

B

15J

C

18J

D

20J

Text Solution

Verified by Experts

The correct Answer is:
D
Work done by a position dependent force in displacing a body from `x = x_(1)` to `x= x_(2)` is given by
`W = int_(x_(1))^(x_(2)) Fdx = int_(0)^(5)( 7 - 2x + 3x^(2))dx`
`:. W = [ 7x - x^(2) + x^(2) ]_(0)^(5)=[35 - 25 + 125] = 135J`
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