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Anshula Rashid Tata
Asked: 2022-11-08T21:42:28+05:30 In:

Work done by a force F on a body is W = F .s, where s is the displacement of body. Given that under a force `F = (2 hat I +3 hat j +4 hat k)` N a body is displaced from position vector `r_1 = (2 hat I +3 hat j + hat k)` m to the position vector `r_2 = (hat i +hat j+ hat k)` m. Find the work done by this force.

Work done by a force F on a body is W = F .s, where s is the displacement of body. Given that under a force `F = (2 hat I +3 hat j +4 hat k)` N a body is displaced from position vector `r_1 = (2 hat I +3 hat j + hat k)` m to the position vector `r_2 = (hat i +hat j+ hat k)` m. Find the work done by this force.
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  1. The body is displaced from `r_1 or r_2`. Therefore, displacement of the body is `s = r_2 – r_1 = (hat I +hat j + hat k)-(2hati+3hatj+ hat k) = (-hati- 2 hat j)m`
    Now, work done by the force is `W = F.s `
    `=(2hati+3hatj+4hatk).(-hat I – 2 hatj)`
    `=(2)(-1) + (3)(-2) + (4)(0) = -8 J`

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