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 same centripetal acceleration while it travels at speed 2V? 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 = V²/R. If the speed is doubled to 2V, the new centripetal acceleration becomes (2V)²/R' = 4V²/R'. To maintain the same centripetal acceleration, R' must be 4R.

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