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OpenStudy (anonymous):
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.
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OpenStudy (anonymous):
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...?
OpenStudy (anonymous):
constant force 3i+1j-2k
OpenStudy (anonymous):
d=15 right?
OpenStudy (anonymous):
I got 28.7
OpenStudy (anonymous):
its wrong
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OpenStudy (anonymous):
Yeah you're right I was taking 25^2 instead of 5^2
OpenStudy (anonymous):
Multiply by the magnitude of the force.
OpenStudy (anonymous):
how do i get the magnitude of the force?
OpenStudy (anonymous):
Pythag theorem
OpenStudy (anonymous):
ok so the distance is 15 right? i multiply 15 X what?
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OpenStudy (anonymous):
\[\sqrt{3^{2}+1^{2}+2^{2}}\]
OpenStudy (anonymous):
i did that and my answer is wrong
OpenStudy (anonymous):
\[15 X \sqrt{14}\] =56.125
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