A car going around a curve of radius R at a speed V experiences a centripetal acceleration a_c. What should be the radius of the path that leads to twice the centripetal acceleration while it travels at the same speed V? A) R B) 2R C) 4R D) ½ R E) ¼ R

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Quizplus · Accepted Answer

Centripetal acceleration is given by $ a_c = \frac{V^2}{R} $. To double the centripetal acceleration while keeping the speed constant, the radius must be halved, so the new radius is $ \frac{R}{2} $.

A Car Going Around a Curve of Radius R at a Speed