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# Work Energy and Velocity

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A) Find the power input of a force F acting on a particle that moves with a velocity V for F=(6N)i - (5N)j and v = (-5 m/s)i + (4 m/s)j

B) What is the angle between them?

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#### Solution Preview

Work is defined as: dW = F*ds, where ds is the displacement segment (an infinitesimal part of the path).
The power is the rate of change in the work, thus: P = dW/dt = d/dt*F*ds

Since the ...

#### Solution Summary

This solution looks at the angle between a force acting on a particle, using a specified velocity and force. The exact degrees in angle is determined by using the power of the rate of change in work formula, as well as a cosine identity.

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