A constant force F=5i−9j−2k acts upon an object moving along a straight line from point A to B?
A constant force F=5i−9j−2k acts upon an object moving along a straight line from point (3, 5, 8) to point (7, 3, -10).
Find the work done if the distance is measured in meters and the magnitude of the force is measured in newtons.
Not sure how to solve this. I know Work= Force x Displacement. I was thinking of doing the distance between the two points first, then i get stuck on the next step, please help me solve
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the distance the object travels is:
x = 3 - 7 = -4
y = 5 - 3 = 2
z = 8 - -10 = 18
the total distance is: SQRT( x^2 + y^2 + z^2) = SQRT(344) = 18.5472 (pythagoras)
the force:
SQRT (5^2 + (-9)^2 + (-2)^2) = SQRT(110) = 10.4881
As you already knew: Work = Force * displacement
This leads to: 18.5472 * 10.4881 = 194.525 Nm
74J