Question
A particle is acted on by constant forces = −3i + 2 j + 5k and 2i + j −3k and is displaced from the point (2, −1, −3) to the point (4, −3, 7) . Find the total work done by the forces.
Answer :
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To find the total work done by the forces, we need to use the formula for work: \[ W = \mathbf{F} \cdot \mathbf{d} \] Where: - \(\mathbf{F}\) is the total force acting on the particle. - \(\mathbf{d}\) is the displacement vector. - The dot product \(\mathbf{F} \cdot \mathbf{d}\) gives the work done. ### Step 1: Find the total force \(\mathbf{F}\) Given forces:
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