The box weighs 400lb and the person can pull with 200 lb of force.

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The discussion centers on the feasibility of lifting a 400lb box using a pulley system when the person can exert a maximum pulling force of 200lb, equivalent to 891N. The gravitational force acting on the box is calculated to be 1782N, which is double the maximum force the individual can apply. Consequently, the person cannot raise the box as the tension in the rope does not exceed the gravitational force acting on the box. The optimal method for lifting, if possible, would involve maintaining a constant speed, where the tension equals the gravitational force.

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The box weighs 400lb and the person can pull with 200 lb of force. Will this person be able to raise the box? What is the maximum weight he can life using the pulley system? Sorry i couldn't figure out how to start. Appreciate any help, Thanks!
 

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convert 200lb to Newtons: 200lb=91kgx9.80N/kg=891N (200lb)
This is the maximum force that the man can apply via the tension in the rope.

The object he is lifting has a force of gravity of 1782N (double the force he can lift)

The best way to lift it would be at constant speed. F=ma, F=0, therefore Tension=Force of Gravity on object.

**"Passing the rope over the pulley changes the direction of the tension in the rope, but doesn't change it's pulling force.
 

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