A baseball pitcher in good form can throw a baseball that attains a speed of 97 mi/h in a distance of 1.3 m. Assume that the ball starts from rest and its mass is 0.15 kg. (a) Determine the average force (in N) exerted on the ball.

Respuesta :

Answer:

108.47N

Explanation:

Hello! To solve this problem, the first thing we must do is find the acceleration of the ball taking into account that part of the rest and that it is constant, the equation that defines this movement is as follows

[tex]\frac{Vf^{2}-Vo^2}{2.X} =a[/tex]

Vf=97mi/h=43.36m/s= final velocity

X=1.3m=Distance travelled

Vo=0m/S=initial velocity

a=acceleration

Solving

[tex]\frac{(43.36^{2}-0^2}{2.(1.3)} =723.11m/s^2[/tex]

finally we remember the second law of newton that states that the product of mass by acceleration is equal to force

F=ma

where

F=force

m=mass=0.15kg

a=aceleration

F=(0.15kg)(723.11m/S^2)=108.47N

Lanuel

The average force (in Newton) exerted on the baseball is 2.50 Newton.

Given the following data:

  • Final speed = 97 mi/h to m/s = 43.36 m/s.
  • Distance = 1.3 m.
  • Mass = 0.15 kg.
  • Initial speed = 0 m/s (since it starts from rest).

To determine the average force (in Newton) exerted on the ball:

How to calculate the average force.

First of all, we would determine the acceleration of the baseball by using the third equation of motion:

[tex]V^2 =U^2 +2aS\\\\43.36 = 0^2 + 2a(1.3)\\\\43.36 = 2.6a\\\\a=\frac{43.36}{2.6}[/tex]

Acceleration, a = 16.68 [tex]m/s^2[/tex]

For the average force:

From Newton's Second Law of Motion, average force is given by this formula:

[tex]Force = mass \times acceleration\\\\Force = 0.15 \times 16.68[/tex]

Force = 2.50 Newton.

Read more on force here: brainly.com/question/1121817