1. What is the Work-Kinetic Energy Theorem?

The Work-Kinetic Energy Theorem states that the net work done on an object equals the change in its kinetic energy. This fundamental principle in physics connects the concepts of work and energy, providing a powerful tool for analyzing motion and forces.

2. How Does the Calculator Work?

The calculator uses the work-energy theorem:

Where:

• \( \Delta KE \) — Change in kinetic energy (Joules)
• \( W_{net} \) — Net work done on the object (Joules)

Explanation: The theorem states that when work is done on an object and the only change in the object is its speed, the net work equals the change in kinetic energy.

3. Importance of the Work-Energy Theorem

Details: This theorem is crucial in physics for solving problems involving motion, forces, and energy transformations without needing to know the specific path taken by the object.

4. Using the Calculator

Tips: Enter the net work done on the object in Joules. The calculator will compute the corresponding change in kinetic energy.

5. Frequently Asked Questions (FAQ)

Q1: What is the sign convention for work in this theorem?
A: Positive work increases kinetic energy (object speeds up), while negative work decreases kinetic energy (object slows down).

Q2: Does this theorem apply to all types of forces?
A: Yes, the work-energy theorem applies to all forces, both conservative and non-conservative.

Q3: How is this different from conservation of energy?
A: The work-energy theorem is more general as it accounts for energy transfers through work, not just transformations between different forms of energy.

Q4: Can this theorem be used for rotational motion?
A: Yes, there's an analogous work-kinetic energy theorem for rotational motion where net torque work equals change in rotational kinetic energy.

Q5: What are the limitations of this theorem?
A: The theorem assumes a rigid body with no change in potential energy and no energy losses to heat or sound during the process.