You are assigned to do some calculations for a movie stunt that involves a car on a
straight road. The road, pictured above, has a hill that rises 8.0 m above the flat
region. The top of the hill is a circular arc of radius 20 m. You need to determine
whether a car traveling under certain conditions will lose contact with the road at the
top of the hill. There is a stop sign 50 m from the beginning of the hill. You are to
assume that a car of mass 1600 kg accelerates uniformly from rest at the stop sign,
has a speed of when it reaches the beginning of the hill, and then coasts with the
engine off. Assume energy losses due to friction and air resistance are negligible.
a. Calculate the magnitude of the acceleration of the car during the first 50 m.
b. Calculate the time it takes the car to reach the beginning of the hill
c. Calculate the magnitude of the net force required to accelerate the car during the
first 50 m.
d. On the dot below that represents the car, draw and label the forces (not
components) that act on the car at the top of the hill if it travels over the hill without
losing contact.
Answers
Answer:
A car is driving at constant speed over a hill, which is a circular dome of radius. 240 m. Above what speed will the car leave the road at the. If a car is travelling over a curved hill, what is the maximum speed it .We can rearrange this to make v, the speed at which the car loses contact with the road surface, the subject of the equation. Gravity has a major effect on your vehicle when you are driving downhill or uphill. When you are driving uphill, gravity's power is working against you, meaning it pulls your car the opposite direction, which slows down your car. You will need more engine power in order to stay with the flow of traffic.When a force is applied to the brakes of a vehicle, there is work done by the friction between the brakes and the wheel. This reduces the kinetic energy of the vehicle, slowing it down and causing the temperature of the brakes to increase.