Mechanical Energy: Calculating Work w/ Box, Ramp & Friction

In summary, to push a 36 kg box up a ramp with a 1.7 m height difference and a 10 m length, you would need to do work against gravity and friction. The work against gravity would be equal to the increase in gravitational potential energy, while the work against friction can be calculated using the formula W = Force x Distance. In this case, the 20 N friction force would require you to push against it for a certain distance in order to raise the box, which would need to be added to the total work required.
  • #1
billyghost
5
0
How much work was required to push a 36 kg box from the bottom of a ramp a distance of 10 m to the top of 1.7 m above the ground if the friction force between the box and the ramp is 20 N? Help? Formulas?
 
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  • #2
To push the box up the ramp required:
(1) work against gravity (which equals the increase in gravitational potential energy).
(2) work against friction (think W = Force x Distance).

Figure these two out and add them to find the total work required.
 
  • #3
The 20 N friction force is the part I'm unsure about.
 
  • #4
You know the force needed to overcome the friction (20 N). So over what distance do you have to push against friction in raising the box?
 

Related to Mechanical Energy: Calculating Work w/ Box, Ramp & Friction

1. What is mechanical energy?

Mechanical energy is the energy an object possesses due to its motion or position.

2. How is work calculated in a system involving a box, ramp, and friction?

Work is calculated by multiplying the force applied to the box by the distance the box moves along the ramp in the direction of the force. This can be represented by the formula W = Fd, where W is work, F is force, and d is distance.

3. What factors affect the amount of work done in this system?

The amount of work done in this system is affected by the force applied, the distance the box is moved, and the presence of friction. The greater the force applied and the longer the distance, the more work is done. Friction reduces the amount of work done by opposing the motion of the box.

4. How does the angle of the ramp affect the work done in this system?

The angle of the ramp affects the amount of work done by changing the distance the box moves. A steeper ramp will result in a shorter distance, therefore less work is done. A shallower ramp will result in a longer distance, leading to more work being done.

5. Can the work done in this system ever be negative?

Yes, the work done in this system can be negative if the force applied is in the opposite direction of the box's motion. This means that the work is being done against the motion of the box, resulting in a negative value for work.

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