Question

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

Answer 1

We need the figure referred in the question. Most probably at the highest point, according to Newton's laws,
mg = ma_ca, where a_ca is centrifugal acceleration,
Thus g = a_ca = v²/R, R is the radius of the arc.
v = √ gR = 19.17 m/s