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a baseball bat hits the ball with variable force. the ball weighs 0.145 kg and comes toward and (after hit) away from the batter both with 40 m/s, in opposite directions. find the maximum force fmax from the bat.



Answer :

Qwdog

The maximum force from the bat which hits the ball with a speed of 40 m/s is 5.8 N

The mass of the ball is 0.145 g

The speed of the ball after being hit is 40 m/s

As we need to find the maximum force, let the time taken to hit the ball be 1 s

The force from the bat can be found using the formula,        

                              F = ma

where F is the force from the bat

          m is the mass of the ball

          a is the acceleration of the ball

But we know that

                              a = s/t

where s is the speed of the ball being hit

          t is the time taken

     

Let us substitute this in the above equation, we get

                          F = ms/t

                          F = 0.145 x 40 / 1

                             = 5.8

Therefore, the force from the bat is 5.8 N

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