The change in momentum of the system will equal the impulse of that force.

The total momentum of that system stays constant.

Impulse causes a change in momentum.

1. Identify all objects in the system. 2. Determine the mass and velocity of each object. 3. Calculate the sum of the individual momenta (mᵢvᵢ). 4. Calculate the sum of the individual masses (mᵢ). 5. Divide the total momentum by the total mass: $\vec{v}_{\mathrm{cm}}=\frac{\sum \vec{p}_{i}}{\sum m_{i}}=\frac{\sum\left(m_{i} \vec{v}_{i}\right)}{\sum m_{i}}$

1. Define the system. 2. Check for external forces. If net external force is zero, momentum is conserved. 3. Write the conservation of momentum equation: Total momentum before = Total momentum after. 4. Solve for the unknown variable(s).

1. Choose your system carefully. 2. Apply conservation of momentum along each axis (x and y). 3. Account for the vector nature of momentum, using positive and negative signs for directions. 4. Solve the resulting equations for the unknowns.

1. Calculate the total kinetic energy before the collision. 2. Calculate the total kinetic energy after the collision. 3. Compare the initial and final kinetic energies. 4. If kinetic energy is conserved (KE_initial = KE_final), the collision is elastic. If kinetic energy is not conserved, the collision is inelastic.

1. Identify the force acting on the object and the time interval over which it acts. 2. If the force is constant, multiply the force by the time interval: J = FΔt. 3. If the force is not constant, integrate the force with respect to time: J = ∫F dt. 4. Alternatively, calculate the change in momentum: J = Δp = mv_f - mv_i.

Add up all the individual momenta, remembering that momentum is a vector (direction matters!).

Define your system to identify if external forces are present and if momentum is conserved.