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2. A 1.00 kg mass is moving to the right at 8.00 m/sec and a 3.00 kg mass is moving to the left at -4 m/sec. They collide in an elastic collision. What will be their final velocities, (magnitude and direction) after the collision? M,=3.00kg M,=1.00kg 8.00 m/sec -4.00 m/sec

2. A 1.00 kg mass is moving to the right at 8.00 m/sec and a 3.00 kg mass is moving to the left at -4 m/sec. They collide in an elastic collision. What will be their final velocities, (magnitude and direction) after the collision? M,=3.00kg M,=1.00kg 8.00 m/sec -4.00 m/sec

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**Problem:** A 1.00 kg mass is moving to the right at 8.00 m/sec and a 3.00 kg mass is moving to the left at -4.00 m/sec. They collide in an elastic collision. What will be their final velocities (magnitude and direction) after the collision? **Diagram Explanation:** - **M1** is a 1.00 kg mass, represented by a smaller blue circle, moving to the right. The velocity is indicated as 8.00 m/sec with an arrow pointing right. - **M2** is a 3.00 kg mass, represented by a larger blue circle, moving to the left. The velocity is indicated as -4.00 m/sec with an arrow pointing left. In an elastic collision, both momentum and kinetic energy are conserved. Given these initial conditions, the task is to calculate the final velocities of M1 and M2 after the collision.
Transcribed Image Text:**Problem:** A 1.00 kg mass is moving to the right at 8.00 m/sec and a 3.00 kg mass is moving to the left at -4.00 m/sec. They collide in an elastic collision. What will be their final velocities (magnitude and direction) after the collision? **Diagram Explanation:** - **M1** is a 1.00 kg mass, represented by a smaller blue circle, moving to the right. The velocity is indicated as 8.00 m/sec with an arrow pointing right. - **M2** is a 3.00 kg mass, represented by a larger blue circle, moving to the left. The velocity is indicated as -4.00 m/sec with an arrow pointing left. In an elastic collision, both momentum and kinetic energy are conserved. Given these initial conditions, the task is to calculate the final velocities of M1 and M2 after the collision.
Expert Solution
Introduction

We know that momentum is, mass times the velocity. Also, we know that the law of conservation of momentum states that total initial momentum will be the same as total final momentum. 

Mathematically it can be sated as 

Total initial momentum =Total final momentum

m1u1+m2u2=m1v1+m2v2m1=mass of the first object m2=mass of the second objectu1= initial velocity of the first object u2= initial velocity of the second objectv1= final velocity of the first objectv2=final velocity of the second object

 

 

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