Work done by friction on an incline plane

AI Thread Summary
The discussion focuses on calculating the work done by a rope pulling a block up and down an inclined plane at constant speed, considering the effects of friction. The work done by the rope is determined by the tension in the rope and the distance moved, while also accounting for the forces of gravity and friction acting on the block. Participants emphasize the importance of drawing a force diagram to visualize the forces at play, including the gravitational force and the frictional force, which is influenced by the coefficient of kinetic friction. The total work done on the block is analyzed in relation to changes in kinetic and potential energy, confirming that the work done aligns with the principles of energy conservation. Overall, the discussion highlights the relationship between work, energy, and forces in the context of motion on an incline.
GoSS190
Messages
20
Reaction score
0
A block of mass M is being pulled up an inclined plane at a constant speed, by an attached rope that exerts a tension T. The block is pulled a distance L. The plane makes an angle θ with the horizontal, and the coefficient of kinetic friction between the block and the incline is μk.
a.) What is the work done by the rope?

b.) Find the total work done on the block, Wtot = Wcons + Wnoncons. Verify that Wtot = ΔKE.

Suppose that the rope is attached to the downward side of the block, and it is pulled down the plane, a distance L. The tension in the rope again has magnitude T. Assume once again that the sled is pulled at a constant speed.
a.) What is the work done by the rope?

b.)Verify that Wnon-cons = ΔPE + ΔKE by first calculating the change in kinetic energy.
I know work is equal to Force times the distance the object moved and that frictional force is equal to mgcos(theta)
 
Physics news on Phys.org
Start by drawing a force diagram.

What forces is the rope working against? Over what distance.
 
The tension force in the rope is working against the force of gravity as well as the force of friction on the block
 
So maybe if you reduce this to an equation ...?
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Correct statement about a reservoir with an outlet pipe'

Thread 'Correct statement about a reservoir with an outlet pipe'

The answer to this question is statements (ii) and (iv) are correct. (i) This is FALSE because the speed of water in the tap is greater than speed at the water surface (ii) I don't even understand this statement. What does the "seal" part have to do with water flowing out? Won't the water still flow out through the tap until the tank is empty whether the reservoir is sealed or not? (iii) In my opinion, this statement would be correct. Increasing the gravitational potential energy of the...
View full post »

Similar threads

Finding the work done by a block
Replies
4
Views
3K
Variable friction on an inclined plane and maximum velocity
Replies
33
Views
3K
Work Done by Friction & Gravity on Incline: Explained
Replies
7
Views
7K
How to Determine the Work Done by the Rope on a Sledge?
Replies
5
Views
2K
How Does an Inclined Plane Affect Mechanical Energy and Work?
Replies
1
Views
3K
What is the maximum tension and friction force for a block held on an incline?
Replies
19
Views
4K
Calculating Work and Kinetic Energy on an Inclined Plane
Replies
2
Views
3K
Rope between inclines with maximum length of hanging middle portion
Replies
46
Views
3K
Acceleration = (Force of boy on sled - Force of friction)/Mass of sled
Replies
3
Views
2K
Why is the work done double its expected value? (conveyer belt)
2
Replies
58
Views
5K

Hot Threads

Recent Insights

Back
Top