Question

A constant force of 12.5 N in the positive x direction acts on an object as it moves from the origin to the point open parenthesis space 6 i with hat on top minus 8 j with hat on top space close parentheses m. How much work is done by the given force during this displacement

Answer 1

Answer:

Explanation:

Given that

Force is acting in the positive x direction,

Then F = 12.5 •i

The displacement is given as

d = 6 •i — 8 •j

Then,

Work done?

Work done is given as the dot product of force and displacement

W = F•d

W = 12.5i •(6i — 8j)

Note that,

i•i = j•j = 1

i•j = j•i = 0

Then,

W = (12.5×6)(i•i) —(12.5×8)(i•j)

W = 75 —0

W = 75J

work is done by the given force during this displacement is 75J