question 6 of 10\na car drives at a constant speed of 14 m/s around a circle with radius 55 m. what is the…

question 6 of 10\na car drives at a constant speed of 14 m/s around a circle with radius 55 m. what is the centripetal acceleration of the car?\na. 3.6 m/s²\nb. 0.25 m/s²\nc. 3.9 m/s²\nd. 2.3 m/s²

question 6 of 10\na car drives at a constant speed of 14 m/s around a circle with radius 55 m. what is the centripetal acceleration of the car?\na. 3.6 m/s²\nb. 0.25 m/s²\nc. 3.9 m/s²\nd. 2.3 m/s²

Answer

Explanation:

Step1: Recall centripetal - acceleration formula

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

Step2: Substitute given values

Given $v = 14\ m/s$ and $r=55\ m$. Substitute these values into the formula: $a_c=\frac{14^{2}}{55}=\frac{196}{55}\approx 3.6\ m/s^{2}$.

Answer:

A. $3.6\ m/s^{2}$