Momentum (14 of 16) Elastic Collisions, Example 4 | Summary and Q&A

TL;DR

A ball with a mass of 1.5 kg moving at 10 m/s collides with another ball with a mass of 3.8 kg moving at 2.5 m/s. The collision is perfectly elastic. The final velocities of both balls are calculated.

Key Insights

• 💥 Momentum and elastic collisions can be analyzed using equations that consider the masses and initial velocities of the objects.
• 💥 In a perfectly elastic collision, the total momentum of the system is conserved.
• 💥 The final velocities of the objects can be positive or negative, indicating their direction of motion after the collision.
• 💆 The mass and initial velocity of each object are crucial in calculating the final velocities accurately.
• 💥 Elastic collisions involve objects rebounding off each other without any loss of kinetic energy.
• 💥 The final velocities of the objects in elastic collisions depend on their masses and initial velocities.
• 💥 The concept of momentum is essential in understanding and analyzing collisions.

Transcript

okay as you can see in today's video we're going to go through another example this is example number four for momentum and elastic collisions and this is a situation that we have we have a ball that has a mass of 1.5 kilograms moving the Lasser 10 meters per second collides with a second mass that has a mass of three point eight kilo grams and it'... Read More

Questions & Answers

Q: What is the mass and initial velocity of each ball in the collision?

The first ball has a mass of 1.5 kg and an initial velocity of 10 m/s. The second ball has a mass of 3.8 kg and an initial velocity of 2.5 m/s.

Q: How is the final velocity of each ball calculated?

The final velocity of each ball is calculated using the equations for elastic collisions, considering the masses and initial velocities of both balls.

Q: What does the negative final velocity of the first ball indicate?

The negative final velocity of the first ball (-0.76 m/s) indicates that it bounced off the second ball and is now moving in the opposite direction.

Q: Why does the second ball have a higher final velocity?

The second ball has a higher final velocity (6.74 m/s) because it collided with the first ball (which had a smaller mass) and gained momentum.

Summary & Key Takeaways

• Two balls, one with a mass of 1.5 kg and another with a mass of 3.8 kg, collide in a perfectly elastic collision.

• The initial velocities of the balls are 10 m/s and 2.5 m/s.

• The final velocities of both balls are calculated, resulting in a final velocity of -0.76 m/s for the first ball and 6.74 m/s for the second ball.