3)Two identical 1500-kg cars are traveling around the same curve on a highway. O

Question

3)Two identical 1500-kg cars are traveling around the same curve on a highway. One of them is moving at 50 m/s and the other is moving at 25 m/s.

a)If the radius of curvature of the curve is 300m, what is the centripetal force acting on the faster first car?
12,500N
b)What is the centripetal force acting on the second, slower car? 3,125N

c)If the radius of curvature is increased to 600m (doubled), what will that do to the centripetal forces acting on the cars? (Show me) if r is doubled, Fc will be halved

Explanation / Answer

Alright, we're going to need Newton on this one. F = MA But this isn't normal acceleration we're talking about, it's centripetal acceleration. A_c = v^2/r F = MA_c = m*v^2/r F = 1,500*(50)^2 / 300 = 12,500 N

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