Question
Find the work done by a force $ F = 8i - 6j + 9k $ that moves an object from the point $ (0, 10, 8) $ to the point $ (6, 12, 20) $ along a straight line. The distance is measured in meters and the force in newtons.
Step 1
This is given by: \[\vec{r} = (x_2 - x_1)\hat{i} + (y_2 - y_1)\hat{j} + (z_2 - z_1)\hat{k}\] Substituting the given points into the equation, we get: \[\vec{r} = (6 - 0)\hat{i} + (12 - 10)\hat{j} + (20 - 8)\hat{k} = 6\hat{i} + 2\hat{j} + 12\hat{k}\] Show more…
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Find the work done by a force F = 8i - 4j + 9k that moves an object from the point (0, 8, 4) to the point (6, 16, 24) along a straight line. The distance is measured in meters and the force in newtons.
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