Draw a free body diagram of the mass.
If we assume that the car is at the top of a loop, there should be a normal force N (force exerted by tracks on wheels) upward and mg downward.
The sum of the forces is also the total acceleration toward the center of the circle, so you get mvˆ2/r = N - mg
Then plug in the numbers and solve for N.
Source: my homework
The wheels of a certain roller coaster are both
above and below the rails as shown in the
figure so that the car will not leave the rails.
The mass supported by this particular wheel
is 117 kg and the radius of this section of track
is 44 m.
The acceleration of gravity is 9.8 m/s
2
.
What is the magnitude of the force that the
track exerts on the wheel when the speed of
the car is 88 m/s?
Answer in units of N.
1 answer