Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

type the correct answer in the box. whats the force of a pitching machi…

Question

type the correct answer in the box. whats the force of a pitching machine on a baseball? baseballs pitched by a machine have a horizontal velocity of 30 meters/second. the machine accelerates the baseball from 0 meters/second to 30 meters/second in 0.5 seconds. if a baseball has a mass of 0.15 kilograms, the force the machine exerts is newtons. use f = ma, where a = \\(\frac{v - u}{t}\\). reset next

Explanation:

Step1: Calculate acceleration

Use the formula $a=\frac{v - u}{t}$, where $u = 0$ m/s (starts from rest), $v=30$ m/s and $t = 0.5$ s. So $a=\frac{30 - 0}{0.5}=\frac{30}{0.5}=60$ m/s².

Step2: Calculate force

Use Newton's second - law $F = ma$, where $m = 0.15$ kg and $a = 60$ m/s². So $F=0.15\times60 = 9$ N.

Answer:

9