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Problem Set 12

The document contains multiple physics problems about circular motion, banking angles, and friction. It provides information like radii, velocities, masses, coefficients of friction, and banking angles and asks for unknown values like maximum speeds, minimum radii, and banking angles required. The problems are related to blocks on inclined planes, cars on banked tracks, and roller coasters.

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0% found this document useful (0 votes)
42 views2 pages

Problem Set 12

The document contains multiple physics problems about circular motion, banking angles, and friction. It provides information like radii, velocities, masses, coefficients of friction, and banking angles and asks for unknown values like maximum speeds, minimum radii, and banking angles required. The problems are related to blocks on inclined planes, cars on banked tracks, and roller coasters.

Uploaded by

ronald
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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a. 3.1 s a. 6 m h. 5.

20 m/s frictionless, what is the velocity of block


b. 18 m 6. An automobile travels on a perfectly B if block A is moving at a speed of 3
a. 2.25 rad/s (clockwise) c. 26 m horizontal, unbanked circular track of m/s?
b. 3.25 rad/s (counterclockwise) d. 47 m radius r. The coefficient of friction
c. 5.50 rad/s (clockwise) 4. Traffic travels at 100 km/h around a between the tires and the track is 0.3. if
d. 12.5 rad/s (clockwise) banked highway curve with a radius of the velocity of the car is 10 m/s, what is
1. Two 2 kg blocks are linked as shown. 1000 m. What banking angle is necessary the smallest radius it may travel without
Assuming that the surfaces are such that friction will not be required to skidding?
frictionless, what is the velocity of block resist the centrifugal force? e. 10 m
B if block A is moving at a speed of 3 a. 1.4° f. 34 m
m/s? b. 2.8° g. 50 m
c. 4.5° h. 68 m
d. 4.6° 7. If the car described in the previous
b. The center of gravity of a roller problem moves along a track that is
i. 0 m/s
coaster car is 0.5 m above the rails. banked 5°, what is the smallest radius it
j. 1.30 m/s
The rails are 1 m apart. What is the can travel without skidding?
k. 1.73 m/s
maximum e. 6 m
l. 5.20 m/s
f. 18 m
10. An automobile travels on a perfectly
e. 2.25 rad/s (clockwise) g. 26 m
horizontal, unbanked circular track of
f. 3.25 rad/s (counterclockwise) h. 47 m
radius r. The coefficient of friction
g. 5.50 rad/s (clockwise) 8. Traffic travels at 100 km/h around a
between the tires and the track is 0.3. if
h. 12.5 rad/s (clockwise) banked highway curve with a radius of
a. 0 m/s the velocity of the car is 10 m/s, what is
5. Two 2 kg blocks are linked as shown. 1000 m. What banking angle is necessary
b. 1.30 m/s the smallest radius it may travel without
Assuming that the surfaces are such that friction will not be required to
c. 1.73 m/s skidding?
frictionless, what is the velocity of block resist the centrifugal force?
d. 5.20 m/s i. 10 m
B if block A is moving at a speed of 3 e. 1.4°
2. An automobile travels on a perfectly j. 34 m
m/s? f. 2.8°
horizontal, unbanked circular track of k. 50 m
g. 4.5°
radius r. The coefficient of friction l. 68 m
h. 4.6°
between the tires and the track is 0.3. if 11. If the car described in the previous
c. The center of gravity of a roller
the velocity of the car is 10 m/s, what is problem moves along a track that is
coaster car is 0.5 m above the rails.
the smallest radius it may travel without banked 5°, what is the smallest radius it
The rails are 1 m apart. What is the
skidding? can travel without skidding?
maximum
a. 10 m i. 6 m
b. 34 m j. 18 m
i. 2.25 rad/s (clockwise)
c. 50 m k. 26 m
j. 3.25 rad/s (counterclockwise)
d. 68 m l. 47 m
k. 5.50 rad/s (clockwise)
3. If the car described in the previous 12. Traffic travels at 100 km/h around a
l. 12.5 rad/s (clockwise)
problem moves along a track that is e. 0 m/s banked highway curve with a radius of
9. Two 2 kg blocks are linked as shown.
banked 5°, what is the smallest radius it f. 1.30 m/s 1000 m. What banking angle is necessary
Assuming that the surfaces are
can travel without skidding? g. 1.73 m/s
such that friction will not be required to
resist the centrifugal force?
i. 1.4°
j. 2.8°
k. 4.5°
l. 4.6°
d. The center of gravity of a roller
coaster car is 0.5 m above the rails.
The rails are 1 m apart. What is the
maximum speed that the car can
travel around the unbanked curve of
a radius 15 m without the inner
wheel losing contact with the top of
the rail?
a. 8.58 m/s
b. 12.1 m/s
c. 17.2 m/s
d. 24.2 m/s
13. A 1530 kg car is towing a 300 kg trailer.
The coefficient of friction between all
tires and the road is 0.80. How fast can
the car and trailer travel around an
unbanked curve of a radius of 200 m
without either car or trailer skidding?
a. 40 km/h
b. 75.2 km/h
c. 108 km/h
d. 143 km/h

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