Answer:
v = 22.14 m/s
Explanation:
Given,
The mass of the car, m = 1500 Kg
The radius of the curved level road, r = 50 m
The normal force acting on the car,
F = m x g
= 1500 x 9.8
= 14700 N
Neglecting the frictional force, this is the force exerted by the car tires on the road.
In sharp curves, the centrifugal force acts on the car.
This force should not be greater than the normal force of the car. So that the car tiers exert force on the ground.
The maximum centrifugal force on the car without sliding,
F = mv²/r
v² = Fr/m
v = √(Fr/m)
Substituting the given values
v = √(14700 x 50 / 1500)
= 22.14 m/s
Hence, the maximum velocity of the curve without sliding is, v = 22.14 m/s
The maximum speed of the car in the curved road is 22.14 m/s.
The maximum speed of a car in a curved road is determined from the net force on the curved road. The maximum speed of the car is calculate as follows;
Fc = mg
mv²/r = mg
v²/r = g
v² = rg
v = √rg
where;
v = √(50 x 9.8)
v = 22.14 m/s
Thus, the maximum speed of the car in the curved road is 22.14 m/s.
Learn more about maximum speed in curved roads here: https://brainly.com/question/13536691
