Work-Energy Theorem

Front

What is the Work-Energy Theorem?

Back

The Work-Energy Theorem states that the work done on an object is equal to the change in its kinetic energy (W = ΔKE).

Front

How is work calculated?

Back

Work (W) is calculated using the formula W = F × d × cos(θ), where F is the force applied, d is the distance moved, and θ is the angle between the force and the direction of motion.

Front

What is kinetic energy?

Back

Kinetic energy (KE) is the energy an object possesses due to its motion, calculated using the formula KE = 1/2 mv², where m is mass and v is velocity.

Front

What is the relationship between work and kinetic energy?

Back

The relationship is defined by the Work-Energy Theorem, which states that the work done on an object results in a change in its kinetic energy.

Front

If a force of 6000 N moves an object 120 m, how much work is done?

Back

W = F × d = 6000 N × 120 m = 720000 J.

Front

How do you find the force applied if work and distance are known?

Back

Use the formula F = W / d, where W is work done and d is the distance moved.

Front

What is the formula for calculating the change in kinetic energy?

Back

ΔKE = KE_final - KE_initial.

Front

If a 12 kg book is pushed to a velocity of 10 m/s, what is its kinetic energy?

Back

KE = 1/2 mv² = 1/2 × 12 kg × (10 m/s)² = 600 J.

Front

What is the work done to accelerate a 10 kg box from 2 m/s to 4 m/s?

Back

Calculate initial KE: KE_initial = 1/2 × 10 kg × (2 m/s)² = 20 J; Calculate final KE: KE_final = 1/2 × 10 kg × (4 m/s)² = 80 J; Work done = KE_final - KE_initial = 80 J - 20 J = 60 J.

Front

What does work equal when the change in kinetic energy is 20,000 J?

Back

Work equals the change in kinetic energy, so W = 20,000 J.