Momentum Conservation in Tennis Ball Collision

  • Thread starter Thread starter quick
  • Start date Start date
  • Tags Tags
    Balls Tennis
Click For Summary
SUMMARY

The discussion centers on the application of momentum conservation principles in a tennis ball collision scenario. A 1000 g racket moving at 8.00 m/s strikes a 60 g tennis ball traveling at 11.0 m/s, which rebounds at 36.0 m/s. The conservation of momentum equation is correctly set up as m_r*v_r + m_b*v_b = m_r2*v_r2' + m_b2*v_b2', where the variables represent the masses and velocities of the racket and ball. The average force exerted by the racket on the ball can be calculated using impulse, with the formula F = m*a, where acceleration is derived from the change in velocity over the contact time of 9.00 ms.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Familiarity with impulse and force calculations
  • Basic knowledge of kinematics and dynamics
  • Ability to manipulate equations involving mass and velocity
NEXT STEPS
  • Study the conservation of momentum in elastic and inelastic collisions
  • Learn how to calculate impulse and average force in collision scenarios
  • Explore the relationship between mass, acceleration, and force using Newton's second law
  • Investigate real-world applications of momentum conservation in sports physics
USEFUL FOR

Physics students, sports scientists, and anyone interested in the mechanics of collisions in sports, particularly in understanding the dynamics of tennis.

quick
Messages
42
Reaction score
0
A tennis player swings her 1000 g racket with a speed of 8.00 m/s. She hits a 60 g tennis ball that was approaching her at a speed of 11.0 m/s. The ball rebounds at 36.0 m/s.

1)How fast is her racket moving immediately after the impact? You can ignore the interaction of the racket with her hand for the brief duration of the collision.

2)If the tennis ball and racket are in contact for 9.00 ms, what is the average force that the racket exerts on the ball?

is this a momentum problem where i figure out the p_initial and then p_final and subtract final from initial? and then solve for velocity after from the p_final? and I am not sure for the second question. thanks in advance for your help.
 
Physics news on Phys.org
As you suggested, the first part looks like a conservation of momentum question. The second part deals with impulse.
 
ok i got a little farther... basically i set it up like m_r*v_r + m_b*v_b = m_r2*v_r2' + m_b2*v_b2'. where m_r is the mass of racket v_r is velocity of racket m_b is mass of ball and v_b is velocity of ball and same for other side except they are the final values. i am given all of the values except for v_r2' and i tried solving for it but i get a wrong answer. for the second part i just did accel = (v_b' - v_b)/t and then F=ma. but i am confused as to which mass to use because using the racket's mass gave me a wrong answer.
 
nevermind i got it
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
5K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 7 ·
Replies
7
Views
17K
  • · Replies 9 ·
Replies
9
Views
4K
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
5K