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

Define work in physics.

Back

Work is defined as the product of the force applied to an object and the distance over which that force is applied (W = F⋅d).

Front

What is kinetic energy?

Back

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

Front

How does kinetic energy change with velocity?

Back

Kinetic energy increases with the square of the velocity; if velocity triples, kinetic energy increases by a factor of nine.

Front

What is the formula for calculating work done when force and distance are known?

Back

W = F⋅d, where W is work, F is force, and d is distance.

Front

What is the relationship between work and kinetic energy?

Back

The work done on an object results in a change in its kinetic energy, expressed as W = KE_final - KE_initial.

Front

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

Back

ΔKE = KE_final - KE_initial = 1/2 mv_final² - 1/2 mv_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

If a 10 kg box is accelerated from 2 m/s to 4 m/s, how much work is done?

Back

60 J (calculated using ΔKE = 1/2 m(v_final² - v_initial²)).

Front

What does it mean if work is done on an object?

Back

It means that energy is being transferred to the object, resulting in a change in its motion or energy state.