Question

A constant force moves an object along a straight line from point (0, -2, 9) to point (-10, 3, -1).

Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.

Answer 1

Distance formula for two points in 3 dimensions\[d=\sqrt{(x_1-x_2)^{2}+(y_1-y_2)^{2}+(z_1-z_2)^{2}}\]
Work is force times distance. We know the distance, but the force is not given...?

Answer 2

constant force 3i+1j-2k

Answer 3

d=15 right?

Answer 4

I got 28.7

Answer 5

its wrong

Answer 6

Yeah you're right I was taking 25^2 instead of 5^2

Answer 7

Multiply by the magnitude of the force.

Answer 8

how do i get the magnitude of the force?

Answer 9

Pythag theorem

Answer 10

ok so the distance is 15 right? i multiply 15 X what?

Answer 11

\[\sqrt{3^{2}+1^{2}+2^{2}}\]

Answer 12

i did that and my answer is wrong

Answer 13

\[15 X \sqrt{14}\] =56.125