A coach is hitting pop flies to the outfielders. If the baseball (mass = 145 g) stays in contact with the bat for 0.08 s and leaves the bat with a speed of 75 m/s, what is the average force acting on the ball?
force*time=mass*veloctiy
solve for force.
To calculate the average force acting on the ball, we can use Newton's second law of motion, which states that the force acting on an object is equal to the rate of change of its momentum. The formula for force is:
Force = (change in momentum) / (time)
First, let's calculate the momentum of the ball. Momentum can be calculated using the formula:
Momentum = mass * velocity
Given that the mass of the ball is 145 g (which is 0.145 kg) and the velocity is 75 m/s, we can substitute these values into the equation:
Momentum = 0.145 kg * 75 m/s
Momentum = 10.875 kg⋅m/s
Now, we need to calculate the change in momentum. Since the ball starts at rest and ends up with a velocity of 75 m/s, the change in momentum is equal to the momentum:
Change in momentum = Momentum = 10.875 kg⋅m/s
Finally, we can calculate the average force by dividing the change in momentum by the time of contact, which is 0.08 seconds:
Average Force = Change in momentum / Time
Average Force = 10.875 kg⋅m/s / 0.08 s
Average Force ≈ 135.94 N
Therefore, the average force acting on the ball is approximately 135.94 N.