Work and energy and that sort of rot. :/

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SUMMARY

Sally exerts a horizontal force of 520 N at an angle of 53.0° to drag a wooden crate across the floor at a constant speed. The force exerted by the rope on the crate is calculated to be 864.05 N. The work done by Sally while moving the crate 28.5 m is 14,820 J. The discussion highlights the need to understand the force of friction, which is defined in terms of the normal force and the coefficient of dynamic friction, particularly when the applied force is at an angle.

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Sally applies a horizontal force of 520 N with a rope to drag wooden crate across a floor with a constant speed. The rope tied to the crate is pulled at an angle of 53.0°.

(a) How much force is exerted by the rope on the crate?
Solved and correct.

(b) What work is done by Sally if the crate is moved 28.5 m?
Solved and correct

(c) What work is done by the floor through force of friction between the floor and the crate?
This one I have no idea how to do, unfortunately :(
FxD=Work
Trig (cos, sine, tan)
Work=F(d)+(friction force)(d)
work= change in Kinetic Energy
Potential Energy=mass(g)(Height)


(a) How much force is exerted by the rope on the crate?
I managed to figure this one out.
cos53=520N/x
cos53x=520
x=864.05 N

(b) What work is done by Sally if the crate is moved 28.5 m?
All I did with this one was multiply force (520) by distance (28.5) and got 14820 J

(c) What work is done by the floor through force of friction between the floor and the crate?
This one I have no idea how to do, unfortunately :(


I've unfortunately procrastinated and it's due tomorrow but I'm sure I'll manage if someone doesn't reply...:/
 
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(c) What work is done by the floor through force of friction between the floor and the crate?
This one I have no idea how to do, unfortunately :(

Work is Force X Distance, right? What is the Force of friction? How is it defined in terms of the normal Force on the floor, and the coefficient of (dynamic, sliding) friction?
 
berkeman said:
Work is Force X Distance, right? What is the Force of friction? How is it defined in terms of the normal Force on the floor, and the coefficient of (dynamic, sliding) friction?

Also keep in mind that the Fn isn't going to just equal the Fw because it is being pulled at an angle and some of that force is going into the y-component.
 

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