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

weather forecasts are done by collecting data about the current state of the atmosphere mainly the temperature, humidity and wind and using meteorology, to determine the atmosphere that evolves over time. the h and l mean the high and low pressure. the red strip is a warm front. the blue strip is a cold front. the blue and red strip is a stationary front. the purple strip is a occluded front.

explanation: