Work-Energy Theorem

Front

What is the Work-Energy Theorem?

Back

The Work-Energy Theorem states that the net work done by the forces acting on an object is equal to the change in its kinetic energy.

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 45 J of work is done on an object that moves 5 meters, what is the force applied?

Back

The force applied is 9 N.

Front

What does a net work of 20,000 J indicate about kinetic energy?

Back

It indicates that the change in kinetic energy of the object is also 20,000 J.

Front

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

Back

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

Front

What is the formula for calculating acceleration?

Back

Acceleration (a) can be calculated using the formula a = (v_f - v_i) / t, where v_f is final velocity, v_i is initial velocity, and t is time.

Front

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

Back

The angle (θ) affects the amount of work done; work is maximized when the force is applied in the direction of motion (θ = 0°) and is zero when θ = 90°.

Front

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

Back

ΔKE is found by subtracting the initial kinetic energy from the final kinetic energy: ΔKE = KE_final - KE_initial.