Work & Power of Pulley System Homework

AI Thread Summary
To determine the work done on a 20 kg box raised 0.75 m by a 25 N force, the work is calculated as W = Fd, resulting in 147.15 J. For power, the relationship P = Fv is applicable, but the correct velocity must be determined, which can be derived from acceleration using F = ma. The time can be calculated using kinematic equations, allowing for the power to be expressed as work divided by time. The discussion highlights confusion over whether to use the applied force of 25 N or the weight of the box in calculations. The change in potential energy is also considered relevant to the work done on the crate.
nathan8
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Homework Statement



20 Kg box is raised 0.75m by a constant 25N force applied at the end of the cord if the pulleys are massless, determine work done on the crate. What is the power delivered at the end of the cord at this point?

Identical pulley system
http://www.oldschool.com.sg/modpub/20204469354a2bdb19c0115


Homework Equations



W=Fd I found that W=20(9.81)*0.75 = 147.15 J

P=Fv

The Attempt at a Solution



I am having trouble with the power portion, I am not sure how to find the correct velocity to apply also confused as to which force the 25N or the 20(9.81)

Thanks
 
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Power is work divided by time, for the time consider that you can find acceleration from F = ma and since you know the total displacement the time can be derived from a kinematics equation.
 
Would Power = F*v work here?

Then just find the velocity with 2Va = -Vb

And use the 25N force times this velocity?

Am I on the right track with the work done on the crate, being the change in potential energy?
 

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