A body constrained to move in y direction

Asked by admin @ 29/08/2021 in Physics viewed by 319 People

A body constrained to move in the y direction is subjected to a force F= 2i + 15j + 6k N. The work done by this force in moving the body through a distance of 10m along v-axis is?

Answered by admin @ 29/08/2021

Vector F = 2 i + 15 j + 6 k Newtons, where i , j , k are unit vectors along axes.

s = displacement = 10 j meters

work done = F . s = (2 i + 15 j + 6 k) . 10 j Joules
= 20 i . j + 150 j . j + 60 k . j
= 150 Newtons
as i . j = 0 and k . j = 0 and j . j = 1

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