What is the Momentum Change in an Elastic Collision?

In summary, a 1220 kg ball moving east collides elastically with a stationary ball, resulting in the first ball deflecting 27.9 degrees north and the second ball moving 62.1 degrees south of east. The difference between the initial and final momentum of the system can be determined by solving for the momentum of each ball, with the mass of the second ball being unknown. The equations used for solving this problem are not given. It is important for the person seeking help to show their attempt at a solution in order for others to provide assistance.
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silviamar21
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Homework Statement



A ball with a mass of 1220 kg is moving in a straight line heading due east when it collides elastically with a second ball that is at rest. After the collision the first ball deflects 27.9 degrees north of its original path and the second ball moves in a line 62.1 degrees south of east. A) what is the difference between the initial and final momentum of the system. B) What is the mass of the second ball? C) Find the final momentum of each ball.

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Related to What is the Momentum Change in an Elastic Collision?

1. What is initial momentum?

Initial momentum is the amount of motion an object has at the beginning of a given situation. It is often denoted by the symbol "p" and is measured in units of kilogram-meters per second (kg*m/s).

2. What is final momentum?

Final momentum is the amount of motion an object has at the end of a given situation. It is also denoted by the symbol "p" and is measured in the same units as initial momentum (kg*m/s).

3. How do you calculate initial and final momentum?

To calculate initial and final momentum, you need to know the mass and velocity of the object in question. The formula for momentum is p = m*v, where "m" is the mass in kilograms and "v" is the velocity in meters per second. For initial momentum, you use the mass and velocity values at the beginning of the situation, and for final momentum, you use the values at the end.

4. What is the law of conservation of momentum?

The law of conservation of momentum states that in a closed system, the total momentum of all objects before a collision or interaction is equal to the total momentum after the collision or interaction. This means that momentum is conserved and cannot be created or destroyed, only transferred between objects.

5. How does initial and final momentum relate to Newton's laws of motion?

Newton's first law of motion states that an object at rest will stay at rest and an object in motion will stay in motion with a constant velocity unless acted upon by an external force. Initial and final momentum are related to this law because they show the change in an object's motion due to external forces. Additionally, Newton's second law of motion, which states that force is equal to mass times acceleration, can be rewritten as F = m*(vf - vi)/t, where "F" is force, "m" is mass, "vi" is initial velocity, "vf" is final velocity, and "t" is time. This equation shows the relationship between force, mass, and change in momentum, as a force acting on an object will change its momentum over time.

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