Respuesta :
Answer:
It isn't safe for the car to drive on this road.
The radial acceleration of the car exceeds the maximum radial acceleration the road can support.
Explanation:
For the road to be safe for the car, frictional force of the road on the car must always exceed or match the force keeping the car in circular motion
Frictional force of the road on the car = μmg = 0.4 × 1600 × 9.8 = 6272 N
Force keeping the car in circular motion = mv²/r = 1600×27²/150 = 7776 N
The force keeping the car in circular motion > Frictional force that the road can support the car with.
Maximum radial acceleration the road can support = Frictional force/mass of the car = 6272/1600 = 3.92 m/s²
Radial acceleration of the car currently = 7776/1600 = 4.86 m/s²
which evidently exceeds the maximum allowable radial acceleration
This means the road isn't safe for the car.
