Question

4 fill in the blank 1 point a professional baseball player can pitch a baseball with a velocity of 44.7 m/s towards home plate. if a baseball weighs 1.4n, how much momentum does it have when it hits the catchers mitt? round your answer to the nearest tenth (1 decimal place)

Explanation:

Step1: Calculate the mass of the baseball

We know that weight $W = mg$, so $m=\frac{W}{g}$. Given $W = 1.4$ N and $g = 9.8$ m/s², then $m=\frac{1.4}{9.8}\text{ kg}\approx0.143$ kg.

Step2: Calculate the momentum

The formula for momentum is $p = mv$. Given $v = 44.7$ m/s and $m\approx0.143$ kg, then $p=0.143\times44.7\text{ kg}\cdot\text{m/s}\approx6.4$ kg·m/s. Rounding to the nearest tenth, we get $6.5$ kg·m/s.

Answer:

$6.5$ kg·m/s