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

If the velocity of an object doubles, how does its kinetic energy change?

Back

If the velocity doubles, the kinetic energy increases by a factor of four (2² = 4) because KE is proportional to the square of the 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

What is the formula for calculating work done when a force is applied at an angle?

Back

The formula is W = F × d × cos(θ), where θ is the angle between the force and the direction of motion.

Front

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

Back

ΔKE is calculated as ΔKE = KE_final - KE_initial.

Front

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

Back

The unit of work is the Joule (J). One Joule is equal to one Newton meter.

Front

What is the significance of net work done on an object?

Back

The net work done on an object determines its change in kinetic energy, influencing its speed and motion.

Front

How much work is done if a force of 10 N moves an object 5 m in the direction of the force?

Back

The work done is W = F × d = 10 N × 5 m = 50 J.