uniform circular motion problems

21
Uniform Circular Motion PROBLEMS

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UCM problems with answers, game style credits to Internet sources and books for information and data (created for a group/school presentation)

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Page 1: Uniform Circular Motion Problems

Uniform Circular Motion

PROBLEMS

Page 2: Uniform Circular Motion Problems

The maximum force a road can exert on the tires of a 1600-kg car is 8400 N. What is the maximum velocity at which the car can round a turn of radius 130 m?#1

PROBLEM

Page 3: Uniform Circular Motion Problems

GIVEN:

m=1600kg

Ff/Fc=8400 N

R=130 m

39.24 m/s

26.12 m/s

42.66 m/s

(a) (b) (c)

The maximum force a road can exert on the tires of a 1600-kg car is 8400 N. What is the maximum velocity at which the car can round a turn of radius 130 m?

Page 4: Uniform Circular Motion Problems

39.24 m/sYOUR ANSWER:

WRONG!PROBLEM

#2

Page 5: Uniform Circular Motion Problems

26.12 m/sYOUR ANSWER:

CORRECT!PROBLEM

#2

Page 6: Uniform Circular Motion Problems

42.66 m/sYOUR ANSWER:

WRONG!PROBLEM

#2

Page 7: Uniform Circular Motion Problems

PROBLEM:

#2

A 1000 kg car rounds a turn of radius 25 m at a velocity of 8 m/s.How much Centripetal Force is needed? Where does this force come from?

Page 8: Uniform Circular Motion Problems

GIVEN:

w=1000kg

r=25m

V=8 m/s

2560 N; TENSIO

N

2650 N; FRICTIO

N

2560 N; FRICTIO

N

(a) (b) (c)

A 1000 kg car rounds a turn of radius 25 m at a velocity of 8 m/s.

How much Centripetal Force is needed? Where does this force come from?

Page 9: Uniform Circular Motion Problems

2560 N TENSIONYOUR ANSWER:

WRONG!PROBLEM

#3

Page 10: Uniform Circular Motion Problems

2560 N FRICTIONYOUR ANSWER:

CORRECT!PROBLEM

#3

Page 11: Uniform Circular Motion Problems

2650 N FRICTION YOUR ANSWER:

WRONG!PROBLEM

#3

Page 12: Uniform Circular Motion Problems

PROBLEM

#3

A 453,000 g car rounds a curve of 122 m radius at a speed of 48 km/hr. How large must be the force of friction b/w the tires and the pavement to prevent the car from skidding?

Page 13: Uniform Circular Motion Problems

GIVEN:

m=453000 g

r=122 m

V=48km/h

8555 N

660 N 480 N

(a) (b) (c)

A 453,000 g car rounds a curve of 122 m radius at a speed of 48 km/hr. How large must be the force of friction b/w the tires and the pavement to prevent the car from skidding?

Page 14: Uniform Circular Motion Problems

8555 NYOUR ANSWER:

WRONG!PROBLEM

#4

Page 15: Uniform Circular Motion Problems

660 NYOUR ANSWER:

CORRECT!PROBLEM

#4

Page 16: Uniform Circular Motion Problems

480 NYOUR ANSWER:

WRONG!PROBLEM#

4

Page 17: Uniform Circular Motion Problems

PROBLEM

#4

As the velocity of an object in UCM is doubled and its radius is halved; the centripetal force is ____________________.

Page 18: Uniform Circular Motion Problems

Increased four times

doubled

Multiplied 8 times

(a) (b) (c)

As the velocity of an object in UCM is doubled and its radius is halved; the centripetal force is ____________________.

Page 19: Uniform Circular Motion Problems

Increased four timesYOUR ANSWER:

WRONG!PROBLEM#

5

Page 20: Uniform Circular Motion Problems

Multiplied eight timesYOUR ANSWER:

CORRECT!PROBLEM#

5

Page 21: Uniform Circular Motion Problems

doubledYOUR ANSWER:

WRONG!PROBLEM#

5