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A partical moves from a point (-2hati + ...

A partical moves from a point `(-2hati + 5hatj)` to `(4hati + 3hatj)` when a force of (4hati + 3hatj) N` is applied . How much work has been done by the force?

A

`5 J`

B

`2 J`

C

`18 J`

D

`11 J`

Text Solution

Verified by Experts

The correct Answer is:
C
Displacement of the partical `vecs = vecr_(2) - vecr_(1) = (4 hati + 3 hatj) - (2 hati +5 hatj) = 6 hati - 2hatj`
Applied force `vecF = 4 hati + 3 hatj`
Hence, work done: `W = vecF. vecs = 8 - 3 = 5J`
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