Answer to Question #1028 in Mechanics | Relativity for Ann

Question #1028
A car with mass 910 kg passes over a bump in a road that follows the arc of a circle of radius 37.5 m as shown in the figure. The acceleration of gravity is 9.8 m/s2 .What is the maximum speed the car can have as it passes the highest point of the bump before losing contact with the road? Answer in units of m/s. car is 910kg
1
Expert's answer
2010-11-16T04:12:15-0500
We need the figure referred in the question. Most probably at the highest point, according to Newton's laws,
mg = maca, where aca is centrifugal acceleration,
Thus g = aca = v2/R, R is the radius of the arc.
v = √ gR = 19.17 m/s

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