select the correct answer. what is the centripetal acceleration of a ball on a string that is whirled…

select the correct answer. what is the centripetal acceleration of a ball on a string that is whirled horizontally over a boys head? the radius of the circle is 1.8 meters, and the ball is traveling at 9.2 meters/second. a. 19 meters/second² b. 84 meters/second² c. 110 meters/second² d. 31 meters/second² e. 47 meters/second²

select the correct answer. what is the centripetal acceleration of a ball on a string that is whirled horizontally over a boys head? the radius of the circle is 1.8 meters, and the ball is traveling at 9.2 meters/second. a. 19 meters/second² b. 84 meters/second² c. 110 meters/second² d. 31 meters/second² e. 47 meters/second²

Answer

Explanation:

Step1: Recall centripetal - acceleration formula

The formula for centripetal acceleration is $a_c=\frac{v^{2}}{r}$, where $v$ is the velocity and $r$ is the radius.

Step2: Substitute given values

Given $v = 9.2$ m/s and $r=1.8$ m. Substitute into the formula: $a_c=\frac{(9.2)^{2}}{1.8}$. First, calculate $(9.2)^{2}=84.64$. Then, $a_c=\frac{84.64}{1.8}\approx47$ m/s².

Answer:

E. 47 meters/second²