QuestionDecember 14, 2025

A sprinter runs at a constant speed of 8.0 meters per second on a circular track that has a radius of 40.0 meters. Part 1 What is the centripetal acceleration of the sprinter? 0.20m/s^2 0.40m/s^2 1.6m/s^2 5.0m/s^2

A sprinter runs at a constant speed of 8.0 meters per second on a circular track that has a radius of 40.0 meters. Part 1 What is the centripetal acceleration of the sprinter? 0.20m/s^2 0.40m/s^2 1.6m/s^2 5.0m/s^2
A sprinter runs at a constant speed of 8.0 meters per second on a circular track that has a radius of 40.0 meters. Part 1 What is the centripetal acceleration of the sprinter? 0.20m/s^2 0.40m/s^2 1.6m/s^2 5.0m/s^2

Solution
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Answer

1.6\,\text{m/s}^2 Explanation 1. Write the centripetal acceleration formula Use a_c = \frac{v^2}{r}. 2. Substitute values v = 8.0\,\text{m/s}, r = 40.0\,\text{m}; a_c = \frac{(8.0)^2}{40.0}. 3. Calculate a_c = \frac{64}{40} = 1.6\,\text{m/s}^2.

Explanation

1. Write the centripetal acceleration formula<br /> Use $a_c = \frac{v^2}{r}$.<br />2. Substitute values<br /> $v = 8.0\,\text{m/s}$, $r = 40.0\,\text{m}$; $a_c = \frac{(8.0)^2}{40.0}$.<br />3. Calculate<br /> $a_c = \frac{64}{40} = 1.6\,\text{m/s}^2$.
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