1. Momentum

2. Momentum p = mv p - momentum (kg 𝑚 𝑠 ) m - mass (kg)
v - velocity (m/s)

3. Momentum Practice problems
A cannon fires a 10 kg cannon ball at 50 m/s. What is the cannon ball’s momentum?
A 75 kg runner runs at 10 m/s. What is the runner’s momentum?

4. Momentum Practice problems
A 1500 kg car is traveling on the highway at 75 mph. What is the car’s momentum?
A loaded F-16 has a mass of 12,000 kg. What would be its momentum when traveling at 300 m/s?

5. Momentum
Solve for velocity:
Solve for mass:

6. Momentum Practice problems: Solve for velocity
A kg baseball has 5.8 kg 𝑚 𝑠 of momentum. What is its velocity?
A 5.5 kg bowling ball has 38 kg 𝑚 𝑠 of momentum. What is its velocity?

7. Momentum Practice problems: Solve for velocity
At the bottom of a 0.5 kg pendulum swing it has 2.5 kg 𝑚 𝑠 of momentum. What is its velocity?
At the top of a 0.5 kg pendulum swing it has 0 kg 𝑚 𝑠 of momentum. What is its velocity?

8. Momentum Practice problems: Solve for mass
Find the mass of a football traveling at 20 m/s and has 8 kg 𝑚 𝑠 of momentum.
Find the mass of a hockey puck traveling 44.2 m/s and has 7.5 kg 𝑚 𝑠 of momentum.

9. Momentum Practice problems: Solve for mass
Find the mass of a swimmer swimming 5 m/s and has 325 kg 𝑚 𝑠 of momentum.
Find the mass of a semi-truck driving 35 m/s and had has kg 𝑚 𝑠 of momentum.

10. Momentum
Conservation of Momentum - For a collision occurring between object 1 and object 2 in an isolated system, the total momentum of the two objects before the collision is equal to the total momentum of the two objects after the collision.

11. Momentum
Inelastic collisions - In the special case where two or more objects stick together when they collide.
𝑝 𝑓 = 𝑝 1𝑖 + 𝑝 2𝑖

12. Momentum Practice problems: Inelastic collisions
Find the final velocity of both vehicles.

13. Momentum Practice problems: Inelastic collisions
Find the final velocity of both vehicles.

14. Momentum
Practice problems: Inelastic collisions

15. Momentum
Elastic collisions - In the case where two or more object bounce off each other when they collide.
𝑝 1𝑖 + 𝑝 2𝑖 = 𝑝 1𝑓 + 𝑝 2𝑓

16. Momentum Practice problems: Inelastic collisions
Find the final velocity of the car if the truck has a final velocity of 10 m/s.

17. Momentum Practice problems: Inelastic collisions
Find the final velocity of the car if the truck has a final velocity of 10 m/s.

18. Momentum
Practice problem: Elastic collisions