Question

test information description instructions from the list of choices, select the one best answer. multiple attempts not allowed. this test can only be taken once. force completion this test can be saved and resumed later. your answers are saved automatically. question - completion status 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 question 14 of 20 moving to another question will save this response. 5 points save answer question 14 a car traveling at 20 m/s follows a curve in the road so that its centripetal acceleration is 5 m/s². what is the radius of the curve? 160 m 4 m 80 m 640 m 8 m

Explanation:

Step1: Recall centripetal - acceleration formula

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

Step2: Rearrange the formula to solve for $r$

We can rewrite the formula as $r = \frac{v^2}{a_c}$.

Step3: Substitute given values

Given $v = 20$ m/s and $a_c=5$ m/s², we substitute these values into the formula: $r=\frac{20^2}{5}=\frac{400}{5}=80$ m.

Answer:

C. 80 m