Answer to Question #1028 in Mechanics | Relativity for Ann
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
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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