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
Expert's answer
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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