What is the work and kinetic energy of a ball displaced by gravity?

In summary, the Work Energy Theorem is a fundamental principle in physics that relates the concepts of work and energy. It states that the net work done on an object is equal to the change in its kinetic energy. To apply this theorem, one must identify all the forces acting on the object, calculate the work done by each force, and use the equation W = ΔKE to solve for the unknown variable. This theorem can be used for objects with varying mass, but it only takes into account the work done by conservative forces. Some limitations of the Work Energy Theorem include assuming no external forces and not accounting for factors like air resistance and friction.
  • #1
Ralphonsicus
47
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If a ball, mass 10kg, is displaced 5m by a gravitational acceleration or 10 m/s², what is the work done by the gravity, and what is the change in kinetic energy of the ball?
 
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  • #2
Work done = change in potential energy=mgh
 

1. What is the Work Energy Theorem?

The Work Energy Theorem is a fundamental principle in physics that states that the net work done on an object is equal to the change in its kinetic energy. It relates the concepts of work and energy, and is often used to solve problems involving the motion of objects.

2. How do you apply the Work Energy Theorem to solve problems?

To apply the Work Energy Theorem, you first need to identify all the forces acting on the object and the distance over which those forces act. Then, you can calculate the work done by each force and add them together to find the net work. Finally, you can use the equation W = ΔKE to determine the change in kinetic energy and solve for the unknown variable.

3. Can the Work Energy Theorem be used for objects with varying mass?

Yes, the Work Energy Theorem can be used for objects with varying mass. In these cases, the change in kinetic energy is equal to the work done by the net force on the object. This means that the mass of the object does not affect the final result, as long as the net work and change in kinetic energy are calculated correctly.

4. What is the difference between conservative and non-conservative forces in relation to the Work Energy Theorem?

Conservative forces are those that do not dissipate energy and can be represented by a potential energy function. Non-conservative forces, on the other hand, are those that dissipate energy and cannot be represented by a potential energy function. When using the Work Energy Theorem, only the work done by conservative forces is taken into account, as the work done by non-conservative forces is already accounted for in the change in kinetic energy.

5. Are there any limitations to the Work Energy Theorem?

The Work Energy Theorem is a very useful tool for solving problems involving the motion of objects, but it does have some limitations. It assumes that there are no external forces acting on the object, and that the object is not changing direction. It also does not take into account factors such as air resistance or friction, which can affect the motion of an object. As with any scientific principle, it is important to consider these limitations when applying the Work Energy Theorem to a problem.

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