Work and Energy on a curved track with friction

In summary, the problem involves finding the kinetic energy at position B and the work done by friction from position A to position B. Since there is no information about friction, the answer may need to include variables. The Work-Energy Theorem can be used to set up the equation and solve for the unknowns.
  • #1
eyeshiled21
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Homework Statement


From point A, the marble rests at the height of 0.895 m. Then, it is released up to point B which has a height of 0.665 m. From point B to point C, the marble falls in a projectile motion.
Calculate the Kinetic Energy on position B and the work done by friction from position A to position B.

The Attempt at a Solution


Well, i know that energy is conserved from Point B to Point C because only conservative forces were acting on the marble. My problem is from position A to position B since I've got 2 unknowns, the KE in B and work done by friction. Since there is friction, The total energy in position A must be GREATER than the total energy in position B. PLEASE, HEEEEEEELP!
 
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  • #2
Was there no other information given about friction, such as the coefficient of friction? If not, then the answer may need to include variables. See if your book's answer includes variables, which I am decently sure it should. If there are no answers provided, then just bare with me.

You should already be familiar with the Work-Energy Theorem. You already know that friction does negative work as the marble moves, so all you have to do is set up the equation.
 

1. How does friction affect the work and energy on a curved track?

Friction is a force that opposes motion, and it can have a significant impact on the work and energy involved in moving an object on a curved track. As the object moves along the track, friction will act in the direction opposite to its motion, which means that it will do negative work on the object by taking away some of its kinetic energy.

2. What is the role of kinetic energy in a curved track with friction?

Kinetic energy is the energy an object possesses due to its motion, and it plays a crucial role in a curved track with friction. As an object moves along the track, friction will do negative work on it, which will decrease its kinetic energy. However, the object will still have some kinetic energy left, which will allow it to continue moving along the track.

3. How does the curvature of the track affect the work and energy involved?

The curvature of the track can affect the work and energy involved in several ways. A sharper curve will require the object to change its direction more quickly, which means that it will have to exert more force and do more work. Additionally, the curvature can affect the amount of friction acting on the object, which will also impact the work and energy involved.

4. What is the relationship between work and energy on a curved track with friction?

The relationship between work and energy on a curved track with friction is that energy is conserved. This means that the total amount of energy in the system (the object and the track) will remain constant, even as work is done on the object by friction. This is because the energy lost due to friction is converted into other forms, such as heat or sound.

5. How can you calculate the work and energy on a curved track with friction?

To calculate the work done by friction on an object moving on a curved track, you need to know the force of friction, the distance traveled, and the angle between the direction of motion and the direction of the frictional force. The work done will be the product of these values. To calculate the change in energy of the object, you can use the work-energy theorem, which states that the net work done on an object is equal to the change in its kinetic energy.

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