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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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![1. A racing bicycle with rider has a combined mass of 85 kg. The racer is on a velodrome
(circular racing track) that has banked curves. The surface is banked at an angle of
35° from horizontal. The track has a radius of 60 m.
a) Draw a free-body diagram of the racer viewing the racecar from the front (left) and
from above (right.) Ignore friction. Indicate the direction of the acceleration of the
racer next to your diagram.
b) Based on your free-body diagram do you think the car could possibly stay on a
circular path (the track) without friction? Explain.
c) Which of the forces you drew has a component in the same direction as the
acceleration? Explain.
d) Write down your force equations and solve for the acceleration of the racer moving
at a constant speed around the track with no friction. (Hint: Use the direction of the
acceleration as one of your axes. Do not use along-the-incline and perpendicular-to-
the-incline as your axes.)
e) What speed would the racer have with this acceleration?
f) What do you think would happen if the racer were travelling slower than the speed
you found in e) and the track was frictionless? Explain.
g) What do you think would happen if the racer were travelling faster than the speed
you found in e) and the track was frictionless? Explain.](https://content.bartleby.com/qna-images/question/9ed524a0-87e4-42ec-bda1-7d87d763c73e/c847e4c4-33e7-4731-b698-6850d5061ca8/ewyj2hp_thumbnail.png)
Transcribed Image Text:1. A racing bicycle with rider has a combined mass of 85 kg. The racer is on a velodrome
(circular racing track) that has banked curves. The surface is banked at an angle of
35° from horizontal. The track has a radius of 60 m.
a) Draw a free-body diagram of the racer viewing the racecar from the front (left) and
from above (right.) Ignore friction. Indicate the direction of the acceleration of the
racer next to your diagram.
b) Based on your free-body diagram do you think the car could possibly stay on a
circular path (the track) without friction? Explain.
c) Which of the forces you drew has a component in the same direction as the
acceleration? Explain.
d) Write down your force equations and solve for the acceleration of the racer moving
at a constant speed around the track with no friction. (Hint: Use the direction of the
acceleration as one of your axes. Do not use along-the-incline and perpendicular-to-
the-incline as your axes.)
e) What speed would the racer have with this acceleration?
f) What do you think would happen if the racer were travelling slower than the speed
you found in e) and the track was frictionless? Explain.
g) What do you think would happen if the racer were travelling faster than the speed
you found in e) and the track was frictionless? Explain.
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