Average force exerted by the ball

In summary, the average force exerted by the baseball on the fielder's glove was -4083.3 N. This negative value indicates that the force was in the opposite direction of the ball's initial velocity, causing it to slow down and eventually stop. This force was calculated using the equation F=ma, where the acceleration (a) was found using the kinematic equation Vf^2=Vi^2+2ad and the distance (d) of 15 cm.
  • #1
mathcrzy
47
0

Homework Statement



A baseball (m = 145 g) traveling 35 m/s moves a fielder's glove backward 15 cm when the ball is caught. What was the average force exerted by the ball on the glove?
Magnitude

Homework Equations



-(1/2)mv^2

The Attempt at a Solution



(1/2)(145)(35)^2=-88812.5
 
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  • #2
you have calculated the kinetic energy lost. The problem asks for the force. What equation(s) might you use to solve for F?
 
  • #3
F=(1/2)kx^2
 
  • #4
Be careful with your calculations - baseball m = 145 g ...
 
  • #5
mathcrzy said:
F=(1/2)kx^2
No, you're fishing in the wrong pool! Are you familiar with energy methods, or kinematics and Newton 2?
 
  • #6
would the equation just be F=mv?
 
  • #7
mathcrzy said:
would the equation just be F=mv?
You mean F=ma, don't you? So how would you calculate 'a' knowing that the ball goes from 35m/s to a stop in a 15cm distance? (Hint: use the kinematic equation that relates distance with acceleration and velocity change, and watch your units.
 
  • #8
Vf^2=Vi^2*a*d
 
  • #9
0=1225+2*a*.15
-2*a*.15=1225
a*.15=-612
a=-4083.3
 
  • #10
mathcrzy said:
0=1225+2*a*.15
-2*a*.15=1225
a*.15=-612
a=-4083.3
Yes that looks good, don't forget units of a is m/sec^2. What does the minus sign tell you? Now plug it into F=ma to solve for F, watch units, and interpert the significance of the minus sign.
 

What is the definition of average force exerted by the ball?

The average force exerted by the ball refers to the overall force that the ball exerts over a period of time. It is calculated by dividing the total force exerted by the ball by the amount of time it takes for the force to be exerted.

How is average force exerted by the ball measured?

The average force exerted by the ball can be measured using a force sensor or by calculating the change in momentum of the ball over a specific period of time. It can also be estimated by using the weight and speed of the ball.

What factors affect the average force exerted by the ball?

The average force exerted by the ball can be affected by various factors such as the mass and speed of the ball, the surface it is being thrown or bounced on, and the angle at which it is thrown or bounced.

Why is it important to understand the average force exerted by the ball?

Understanding the average force exerted by the ball is important for various reasons. It can help in predicting the trajectory and impact of the ball, as well as in determining the amount of force needed to stop or catch the ball. It is also crucial in sports and other physical activities for improving performance and preventing injuries.

Can the average force exerted by the ball be changed?

Yes, the average force exerted by the ball can be changed by altering the factors that affect it. For example, throwing or bouncing the ball with more force or at a different angle can change the average force exerted. Additionally, using a lighter or heavier ball can also impact the average force exerted.

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