An object is displaced from point A(2m, 3m, 4m) to a point B(1m, 2m, 3m) under a constant force F = (2i + 3j + 4k) N. Find the work done

by this force in this process.

Hey buddy, here is your answer. Hope it helps you.

Explanation:

The work done by the force in the process is  -9J

Given force, F = 2i + 3j + 4k N

and point A = 2i + 3j + 4k

and point B = 1i + 2j + 3k.

Since object is displaced from A to B, the displacement vector,

X = B - A  = -1 - 2 i + 2 - 3 j + 3 - 4 k  = -1i -j - k

The work done = F.X

F.X = ( 2i + 3j + 4k).(  -i - j - k ) = -2 -3 - 4 = -9J

W = - 9J

Explanation:

r1 = (2i + 3j + 4k)m

r2 = ( i + 2j + 3k)m

F = (2i + 3j + 4k) N.

Since, F = constant, we can also use.

W = F • S

Here, S = r2 - r1

= ( i + 2j + 3k) - (2i + 3j + 4k)

S = (- i - j - k)

W = F • S

W = (2i + 3j + 4k) • (- i - j - k)

W = - 2 - 3 - 4

W = - 9J

Thus, The work done by this force in this process is - 9 Joule

-TheUnknownScientist

conduction, convection, radiation