a baseball has a mass of 145 g. a bat exerts a force of 18,400 n on the ball. what is the acceleration of…

a baseball has a mass of 145 g. a bat exerts a force of 18,400 n on the ball. what is the acceleration of the ball? 1.27 x 10² m/s² 2.67 x 10³ m/s² 1.27 x 10⁵ m/s² 2.67 x 10⁶ m/s²

a baseball has a mass of 145 g. a bat exerts a force of 18,400 n on the ball. what is the acceleration of the ball? 1.27 x 10² m/s² 2.67 x 10³ m/s² 1.27 x 10⁵ m/s² 2.67 x 10⁶ m/s²

Answer

Explanation:

Step1: Convert mass to SI - unit

First, convert the mass of the baseball from grams to kilograms. Since $1\ kg = 1000\ g$, then $m = 145\ g=145\times10^{- 3}\ kg = 0.145\ kg$.

Step2: Apply Newton's second - law

Newton's second - law is $F = ma$, where $F$ is the force, $m$ is the mass, and $a$ is the acceleration. We can solve for $a$ by rearranging the formula to $a=\frac{F}{m}$. Substitute $F = 18400\ N$ and $m = 0.145\ kg$ into the formula: $a=\frac{18400}{0.145}\ m/s^{2}$. $a = 1.27\times10^{5}\ m/s^{2}$.

Answer:

$1.27\times 10^{5}\ m/s^{2}$