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 kinetic energy (KE) calculated?

Back

Kinetic energy is calculated using the formula KE = 1/2 mv², where m is mass and v is velocity.

Front

What happens to kinetic energy when velocity is tripled?

Back

When velocity is tripled, kinetic energy increases by a factor of 9, since KE is proportional to the square of velocity.

Front

What is the formula for calculating work done?

Back

Work done (W) is calculated using the formula W = Fd 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

If a 10 kg box is accelerated from 2 m/s to 4 m/s, how do you calculate the work done?

Back

Calculate the change in kinetic energy: ΔKE = KE_final - KE_initial = 1/2 m(v_final² - v_initial²).

Front

What is the unit of work in the International System of Units (SI)?

Back

The unit of work is the Joule (J), which is equivalent to one Newton meter (N·m).

Front

How do you find the force required to accelerate an object?

Back

Use Newton's second law: F = ma, where F is force, m is mass, and a is acceleration.

Front

What is the relationship between work and energy?

Back

Work is a transfer of energy; when work is done on an object, energy is transferred to or from that object.

Front

How do you calculate the change in kinetic energy (ΔKE)?

Back

ΔKE = KE_final - KE_initial = 1/2 m(v_final² - v_initial²).

Front

What is the significance of the angle in the work formula?

Back

The angle θ in the work formula determines how much of the force contributes to the work done in the direction of motion.