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Alejandro Kirk is the catcher for the Blue Jays’ baseball team. He exerts a forward force on the 0.145-kg baseball to bring it to rest from a speed of 38.2 m/s. During the process, his hand recoils a distance of 0.135 m.
Determine is the acceleration of the ball.
Determine the force applied by Alejandro.

Respuesta :

The kinematics and Newton's second law allow to find the results for the questions about the motion of the ball are:

  • The acceleration is: a = 5.4 10³ m / s²
  • The force is: F = 7.84 10² N

Given parameters

  • Mass of the ball m = 0.145 kg
  • Ball starts speed vo = 38.2 m / s
  • Setback distance x = 0.135 m

To find

  • Acceleration
  • The force

Kinematics studies the movement of bodies, looking for relationships between the position, speed and acceleration of bodies.

         v² = v₀² - 2 ax

Wher vo es la initial veloicity, a the acceleration y x is the distance,

When the ball stops the velocity is zero.

         0 = v₀² - 2ax

         a = [tex]\frac{v_o^2}{2x}[/tex]  

Let's calculate

         a = [tex]\frac{38.2^2}{2 \ 0.135}[/tex]  

         a = 5.4 10³ m / s²

Newton's second law establishes a relationship between force, mass, and acceleration of the body.

             F = ma

             F = 0.145 5.4 10³

             F = 7.84 10² N

In conclusion using kinematics and Newton's second law we can find the results for the questions about the motion of the ball are:

  • The acceleration is: a = 5.4 10³ m / s²
  • The force is: F = 7.84 10² N

Learn more here: brainly.com/question/13536532