Conservation of energy of a marble problem

In summary, the conversation discusses a uniform marble rolling down a symmetric bowl with different levels of friction on each side. The marble starts from rest at the top of the left side and is able to roll without slipping due to the rough surface. The right half of the bowl, which is coated with oil, has no friction. The conversation then brings up the question of why the work done by the friction force on the marble is not considered when applying conservation of energy. The answer given is that since the marble rolls without slipping, there is no heat generated at the point of contact and thus no Joules are lost to friction. For heat to be generated, the two surfaces would need to rub against each other.
  • #1
Amar.alchemy
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Homework Statement


A uniform marble rolls down a symmetric bowl, starting from rest at the top of the left side. The top of each side is a distance h above the bottom of the bowl. The left half of the bowl is rough enough to cause the marble to roll without slipping, but the right
half has no friction because it is coated with oil. (a) How far up the smooth side will the marble go, measured vertically from the bottom?


Homework Equations



Conservation of energy

The Attempt at a Solution


While applying conservation of energy, why we should not consider the work done by the friction force on the marble? Kindly explain me.
 
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  • #2
Because the marble rolls without slipping, there is no heat generated at the point of contact so no Joules are lost to friction. For heat to be generated, the two surfaces need to rub against each other.
 
  • #3
ok, Thanks :)
 

Related to Conservation of energy of a marble problem

1. What is the conservation of energy of a marble problem?

The conservation of energy of a marble problem is a physics concept that states that energy cannot be created or destroyed, but can only be converted from one form to another. In the context of a marble, this means that the total energy of the marble (kinetic and potential) remains constant as it moves through different positions or experiences different forces.

2. How does the law of conservation of energy apply to a marble?

The law of conservation of energy applies to a marble in that the total energy of the marble (kinetic and potential) must remain constant throughout its motion. This means that as the marble rolls down a ramp, its potential energy is converted into kinetic energy, and as it reaches the bottom, its kinetic energy is converted back into potential energy.

3. What factors affect the conservation of energy of a marble problem?

The conservation of energy of a marble problem can be affected by various factors such as the mass of the marble, the height of the ramp, the slope of the ramp, the surface friction, and the presence of external forces like air resistance. These factors can impact the marble's speed, acceleration, and the amount of potential and kinetic energy it possesses.

4. How is the conservation of energy of a marble problem demonstrated in real life?

The conservation of energy of a marble problem can be demonstrated in real life through simple experiments involving ramps and marbles. By measuring the marble's speed and height at different points along the ramp, one can observe how the energy is conserved as it moves. Additionally, roller coasters and other amusement park rides also demonstrate this concept on a larger scale.

5. What is the role of friction in the conservation of energy of a marble problem?

Friction plays a crucial role in the conservation of energy of a marble problem. As the marble moves along the ramp, it experiences friction from the surface, which converts some of its kinetic energy into heat energy, causing the marble to slow down. This results in a decrease in the marble's total energy, demonstrating the conversion of energy from one form to another.

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