What is the magnitude of the change in momentum of the racquet ball?

In summary, a racquet ball moving with a velocity of 12.4 m/s collides inelastically with a wall and then moves in the opposite direction with a velocity of -8.2 m/s. The mass of the ball is.247 kg and the magnitude of the change in momentum can be calculated by subtracting the initial momentum from the final momentum, resulting in a value of 5.0882. The direction of the change in momentum will depend on the chosen direction of positive motion.
  • #1
aszymans
11
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Homework Statement


Now the racquet ball is moving straight toward the wall at a velocity of vi = 12.4 m/s. The ball makes an inelastic collision with the solid wall and leaves the wall in the opposite direction at vf = -8.2 m/s. The ball exerts the same average force on the ball as before. Mass of ball =.247 kg



Homework Equations


What is the magnitude of the change in momentum of the racquet ball?


The Attempt at a Solution


so I took
m*v(initial)=m*v(final) and got 3.0628 and -2.0254 respectively. so I subtracted the two and got -5.0882. I don't feel like this is correct.
 
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  • #2
What is incorrect is to say m*v(initial)=m*v(final) because that is simply not true. It is correct to say that the change in momentum Δ(mv)=m*v(final)-m*v(initial), so if the final momentum is negative and the initial momentum is positive, you end up essentially adding two negative numbers and that's that.
 
  • #3
aszymans said:

Homework Statement


Now the racquet ball is moving straight toward the wall at a velocity of vi = 12.4 m/s. The ball makes an inelastic collision with the solid wall and leaves the wall in the opposite direction at vf = -8.2 m/s. The ball exerts the same average force on the ball as before. Mass of ball =.247 kg



Homework Equations


What is the magnitude of the change in momentum of the racquet ball?


The Attempt at a Solution


so I took
m*v(initial)=m*v(final) and got 3.0628 and -2.0254 respectively. so I subtracted the two and got -5.0882. I don't feel like this is correct.

Many strange "formulae" and calculations, but probably almost the correct answer.

Generally change in a quantity means Final - Initial [which you actually ended up doing!].

Depending which direction you decide to call positive will mean a final answer of -5.etc, like you got in an unusual way, or +5.etc.

The question only asked for the magnitude of the change, so the question of a +ve or -ve answer is irrelevant.
 

FAQ: What is the magnitude of the change in momentum of the racquet ball?

1. What is the Inelastic Ball Problem?

The Inelastic Ball Problem is a physics problem that involves a ball colliding with a stationary object and sticking to it, losing some of its kinetic energy in the process. It is used to understand the concept of conservation of energy and momentum in collisions.

2. How do you solve the Inelastic Ball Problem?

To solve the Inelastic Ball Problem, you need to set up equations for conservation of energy and momentum. This involves identifying the initial and final states of the system, and using the mass, velocity, and coefficients of restitution of the objects involved. You then solve the equations to find the final velocity and energy of the system.

3. What is the coefficient of restitution in the Inelastic Ball Problem?

The coefficient of restitution is a measure of the elasticity of a collision. In the Inelastic Ball Problem, it represents the ratio of the final speed of the ball after collision to its initial speed. A perfectly inelastic collision has a coefficient of restitution of 0, while a perfectly elastic collision has a coefficient of restitution of 1.

4. How does the Inelastic Ball Problem relate to real-world situations?

The Inelastic Ball Problem is a simplified model of collisions, but it can be applied to real-world situations such as car crashes, sports collisions, and even atomic interactions. It helps us understand the transfer of energy and momentum in these events and can be used to make predictions and improve safety measures.

5. What are some limitations of the Inelastic Ball Problem?

The Inelastic Ball Problem assumes that objects are perfectly spherical, and that there is no friction or other external forces acting on the system. In real-world situations, these assumptions may not hold, and the calculations may not be accurate. Additionally, it does not take into account the deformation of objects during collisions, which can affect the results.

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