question_answer

When a constant force is applied to a body moving with constant acceleration, is the power of the force constant? If not, how would force have to vary with speed for power to be constant?

Answer:

                Power, \[P=F\upsilon \] As the body is moving with acceleration, \[\upsilon \] changes and so P also changes, F being constant. For P to be constant, \[F\upsilon =a\]constant or\[(F\propto 1/\upsilon )\]. Thus as \[\upsilon \] increases, F should decrease to keep P constant.