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7. A 0.145 Kg Baseball Pitched at 35m/s Is Hit on a Horizontal Line Drive Straight Back Toward the Pitcher at 50m/s. If the Contact

Question

7. A 0.145 kg baseball pitched at 35m/s is hit on a horizontal line drive straight back toward the pitcher at 50m/s. If the contact time between the bat and ball is 5times 10^-3 seconds, calculate the force between the ball and bat during contact.

Solution

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Answer

Here's how to calculate the force between the bat and ball:1. **Calculate the change in velocity:** The ball's initial velocity is -35 m/s (negative because it's moving towards the batter). Its final velocity is 50 m/s. The change in velocity (Δv) is: Δv = Final velocity - Initial velocity = 50 m/s - (-35 m/s) = 85 m/s2. **Calculate the acceleration:** Acceleration (a) is the change in velocity divided by the time interval (t): a = Δv / t = 85 m/s / (5 x 10⁻³ s) = 17,000 m/s²3. **Calculate the force:** Force (F) is the product of mass (m) and acceleration (a): F = m * a = 0.145 kg * 17,000 m/s² = 2465 NTherefore, the force between the ball and bat during contact is .