What is the Acceleration of a Tennis Ball After Being Served?

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SUMMARY

The discussion focuses on calculating the acceleration and net force acting on a 58 g tennis ball served at a speed of 49 m/s over a distance of 45 cm. The correct approach involves using kinematic equations, specifically v = at and s = (1/2)at², to derive acceleration without needing time. The net force can then be calculated using Fnet = ma, where 'm' is the mass of the ball and 'a' is the calculated acceleration. The work done on the ball can also be determined from the force and distance.

PREREQUISITES
  • Understanding of Newton's second law (Fnet = ma)
  • Familiarity with kinematic equations
  • Basic knowledge of units of mass (grams to kilograms)
  • Concept of work done (Work = Force x Distance)
NEXT STEPS
  • Learn how to apply kinematic equations in physics problems
  • Study the conversion of mass units from grams to kilograms
  • Explore examples of calculating net force in different scenarios
  • Investigate the relationship between work, force, and distance in physics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of sports physics, particularly in analyzing the motion of a tennis ball during a serve.

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When a 58 g tennis ball is served, it accelerates from rest to a constant speed of 49 m/s. The impact with the racket gives the ball a constant acceleration over a distance of 45 cm. What is the magnitude of the net force acting on the ball?

I tried using Fnet=ma, but acceleration isn't given. So I tried to find acceleration by dividing the velocity by time, but time isn't given. Then I tried to use a kinematic formula without time in it to solve for acceleration. When I got my "answer", it wasn't right. What in the world am I doing wrong?
 
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How much work has the force done on the ball?
 
For any acceleration, starting from rest, v= at and s= (1/2)at2.

Here you are told that v= 49 m/s and s= 45 m/s2. You can solve those two equations for a and t. (Of course, you only need a.)
 

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