1. What is the Work-Energy Theorem?

The Work-Energy Theorem states that the work done on an object equals the change in its kinetic energy. This fundamental principle in physics connects the concepts of force and energy.

2. How Does the Calculator Work?

The calculator uses the Work-Energy Theorem equation:

Where:

• \( W \) — Work done (Joules)
• \( \Delta KE \) — Change in kinetic energy (Joules)
• \( m \) — Mass of the object (kg)
• \( v_f \) — Final velocity (m/s)
• \( v_i \) — Initial velocity (m/s)

Explanation: The theorem shows that when work is done on an object, it results in a change in the object's kinetic energy.

3. Importance of Work Calculation

Details: Calculating work using the work-energy theorem is essential for understanding energy transformations in mechanical systems, solving physics problems, and analyzing real-world scenarios like vehicle braking or projectile motion.

4. Using the Calculator

Tips: Enter mass in kilograms and velocities in meters per second. All values must be valid (mass > 0). Positive work means energy was added to the system, negative work means energy was removed.

5. Frequently Asked Questions (FAQ)

Q1: What are the units of work and energy?
A: Both work and energy are measured in Joules (J) in the SI system, where 1 J = 1 kg·m²/s².

Q2: Can the work be negative?
A: Yes, negative work occurs when the force opposes the motion, resulting in a decrease in kinetic energy.

Q3: What if the object starts from rest?
A: If initial velocity is 0, the equation simplifies to \( W = \frac{1}{2}mv_f^2 \).

Q4: Does this account for all types of energy?
A: No, this only considers kinetic energy. For systems with potential energy changes, you'd need to consider the total mechanical energy.

Q5: How does this relate to power?
A: Power is the rate at which work is done (\( P = W/t \)). This calculator finds the total work done, regardless of time.