### Problem StatementA softball having a mass of 0.25kg is pitched at 86.4km/h. By the time it reaches the plate, it may have slowed by 11%. Neglecting gravity, estimate the average force of air resistance during a pitch, if the distance between the plate and the pitcher is about 15m.### ExplanationIn this problem, we need to calculate the average force of air resistance acting on a softball during a pitch. Here are the given data and steps to find the solution:- Mass of the softball, \( m = 0.25 \) kg- Initial speed of the softball, \( v_i = 86.4 \) km/h (converted to m/s: \( 86.4 \div 3.6 = 24 \) m/s)- The speed reduction is 11%, so the final speed is \( v_f = 24 \times (1 - 0.11) = 21.36 \) m/s- Distance covered by the softball, \( d = 15 \) mTo find the average force of air resistance:1. **Calculate deceleration (a):** Using the kinematic equation \( v_f^2 = v_i^2 + 2ad \): \[ (21.36)^2 = (24)^2 + 2a(15) \] Solving for \( a \): \[ 456.2496 = 576 + 30a \] \[ 30a = 456.2496 - 576 \] \[ a = -3.9734 \: \text{m/s}^2 \]2. **Calculate the average force of air resistance (F):** Using Newton’s second law \( F = ma \): \[ F = 0.25 \times (-3.9734) \] \[ F \approx -0.9934 \: \text{N} \]The negative sign indicates that the force acts in the direction opposite to the motion of the ball.### SummaryThus, the average force of air resistance acting on the softball during its pitch is approximately \( 0.9934 \) N.

Write the given values with the suitable variables. m=0.25 kgu=86.4 km/h=86.4×10003600 m/s=24…

A softball having a mass of 0.25kg is pitched at 86.4km/h. By the time it reaches the plate, it may have slowed by 11%. Neglecting gravity, estimate the average force of air resistance during a pitch, if the distance between the plate and the pitcher is about 15m.

A softball having a mass of 0.25kg is pitched at 86.4km/h. By the time it reaches the plate, it may have slowed by 11%. Neglecting gravity, estimate the average force of air resistance during a pitch, if the distance between the plate and the pitcher is about 15m.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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