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# Energy Required to Lift a Heavy Box

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Energy Required to Lift a Heavy Box
As you are trying to move a heavy box of mass , you realize that it is too heavy for you to lift by yourself. There is no one around to help, so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. You pull up on the rope to lift the box.

Use for the magnitude of the acceleration due to gravity and neglect friction forces.
A. What is the magnitude of the upward force you must apply to the rope to start raising the box with constant velocity?

Express the magnitude of the force in terms of , the mass of the box.
=

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