Show that for a constant force F, P = F · v, where v is the instantaneous velocity vector. (b) A constant force of 40 N is applied to a body as the body moves uniformly at a speed of 3.5 m/s. The force does work on the body at a rate of 90 W. What is the angle between the force and the direction of motion of the body?

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Power is defined as the rate of doing work. That is, P = dW/dt. Note that doing work can be interpreted as a means of transferring energy. The SI unit for power is the Watt (W).

(a) Show that for a constant force F, P = F · v, where v is the instantaneous velocity vector.

(b) A constant force of 40 N is applied to a body as the body moves uniformly at a speed of 3.5 m/s. The force does work on the body at a rate of 90 W. What is the angle between the force and the direction of motion of the body?

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