A force vecF=(5 hati+3 hatj) newton is applied over a particle which displaces it from its origin to the point vecr=2 hati- hatj metres. The work done on the particle is

Question

A force vecF=(5 hati+3 hatj) newton is applied over a particle which displaces it from its origin to the point vecr=2 hati- hatj metres. The work done on the particle is (A) - 7 joules (B) + 13 joules (C) + 7 joules (D) + 11 joules

Tardigrade Admin · Accepted Answer

W= vecF vecs=(5 hati+3 hatj) ⋅(2 hati- hatj) =10-3 =7 J

Q. A force $F = (5 \hat{i} + 3 \hat{j})$ newton is applied over a particle which displaces it from its origin to the point $r = 2 \hat{i} - \hat{j}$ metres. The work done on the particle is

- 7 joules

+ 13 joules

+ 7 joules

+ 11 joules

$W = F s = (5 \hat{i} + 3 \hat{j}) \cdot (2 \hat{i} - \hat{j})$
$= 10 - 3$
$= 7 J$

Q. A force F=(5i^+3j^​) newton is applied over a particle which displaces it from its origin to the point r=2i^−j^​ metres. The work done on the particle is