Power, Impulse, Momentum, and Collisions

A collision where two objects stick together and move with the same final velocity.

Two objects bounce off each other and move separately, conserving kinetic energy.

A collision where two objects bounce off each other but kinetic energy is not conserved.

Momentum before collision is calculated as $$m_1v_{1,i}+m_2v_{2,i}$$ .

The total momentum of a closed system before and after a collision remains constant.

Momentum is the product of an object's mass and its velocity, represented as $$p = mv$$ .

Kinetic energy is the energy an object possesses due to its motion, calculated as $$KE = \frac{1}{2}mv^2$$ .

In elastic collisions, kinetic energy is conserved; in inelastic collisions, it is not.

The final velocity is calculated using $$v_f = \frac{m_1v_{1,i} + m_2v_{2,i}}{m_1 + m_2}$$ .

Impulse is the change in momentum of an object when a force is applied over a period of time, calculated as $$J = F \times t$$ .