Momentum.

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Presentation transcript:

Momentum

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

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?

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?

Momentum Solve for velocity: Solve for mass:

Momentum Practice problems: Solve for velocity A 0.145 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?

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?

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.

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 315000 kg 𝑚 𝑠 of momentum.

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.

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

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

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

Momentum Practice problems: Inelastic collisions

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

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

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

Momentum Practice problem: Elastic collisions