Work and energy and that sort of rot. :/

In summary, Sally applies a horizontal force of 520 N with a rope to drag a wooden crate across a floor at a constant speed. The rope is tied to the crate at an angle of 53.0°. The force exerted by the rope on the crate is 864.05 N, and the work done by Sally is 14,820 J. However, the work done by the floor, through the force of friction between the floor and the crate, cannot be determined without knowing the coefficient of friction and the normal force exerted by the floor on the crate.
  • #1
DDRchick
27
0
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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  • #2
(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?
 
  • #3
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.
 

FAQ: Work and energy and that sort of rot. :/

What is the difference between work and energy?

Work is the application of a force over a distance, resulting in the transfer of energy. Energy is the ability to do work. In simpler terms, work is what is put into a system, while energy is what comes out of a system.

How is work calculated?

Work is calculated by multiplying the force applied to an object by the distance the object moves in the direction of the force. The formula for work is W = F * d, where W is work, F is force, and d is distance.

What is kinetic energy?

Kinetic energy is the energy an object possesses due to its motion. It is calculated by multiplying half of the mass of the object by the square of its velocity. The formula for kinetic energy is KE = 1/2 * m * v^2, where KE is kinetic energy, m is mass, and v is velocity.

How does potential energy differ from kinetic energy?

Potential energy is the energy an object possesses due to its position or state, while kinetic energy is the energy an object possesses due to its motion. Potential energy can be converted into kinetic energy and vice versa.

What is the law of conservation of energy?

The law of conservation of energy states that energy cannot be created or destroyed, only transferred or converted from one form to another. This means that the total energy of a closed system remains constant over time.

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