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1. Lincoln is driving a remote controlled car around a circular track. The car is traveling at a constant speed of 8.3 m/s, and the

1.

Lincoln is driving a remote controlled car around a circular track. The car is traveling at a constant speed of

8.3

m/s, and the track has a radius of

9.6

m. What is the car's centripetal acceleration?

7.2

m/s

2

0.86

m/s

2

4.9

m/s

2

8.3

m/s

2.

Many roller coasters begin with a motor pulling the carts to the top of a large hill. A larger initial hill allows the roller coaster to travel for a longer period of time. Why is this the case?

3.

The planet Neptune has a mass of

1.024

10

26

kg, and a radius of

24

,

620

km. An astronaut in a full suit has a mass of 195 kg. How much would this astronaut weigh on the surface of Neptune?

16

,

450

N

1913

N

12

,

710

N

2199

N

.

If a

885

N force is applied over an area of

0.655

m

2

, what is the pressure that is being exerted?

885

Pa

1350

Pa

2120

Pa

580

Pa

5.

A certain sheet of glass will break if it experiences a pressure greater than

1250

Pa. In order to place a

65

N weight on the glass sheet, over how large an area would the weight need to be distributed?

0.011

m

2

0.26

m

2

0.19

m

2

0.052

m

6.

A communications satellite is orbiting Earth, and its orbit has a radius of

42

,

160

km. If the Earth has a mass of

5.97

10

24

kg, then what is the orbital period for the satellite?

8.19

10

6

s

7.42

10

9

s

86

,

200

s

34

,

200

s

7.

A fully loaded semi truck has a mass of

33

,

800

kg. If the truck is driving at a speed of

29.6

m/s, how much kinetic energy does the truck have?

2.96

10

7

J

5.00

10

5

J

2.44

10

6

J

1.48

10

7

J

.

Gino is pushing a box of football equipment back into storage. He pushes with a force of

454

N over a distance of

12.9

m. If the force and displacement vectors are in the same direction, how much work did Gino do on the box?

495

J

5860

J

0

J

3610

J

9.

Theodore is pulling a cart with a rope. Assuming he always pulls the rope with the same amount of force, which arrangement would allow him to most rapidly change the kinetic energy of the cart: pulling at

24

above horizontal, or

16

below horizontal? Explain your answer.

10.

When a spacecraft wants to change orbits, they can achieve this by adjusting their velocity. What effect would an increase in velocity have on the orbit of a spacecraft?

11.

Gordon is flying in a small, propeller-driven airplane. If the propeller is rotating at a rate of

2320

RPM, what is the period of rotation for the propeller?

37

s

0.027

s

0.11

s

0.00045

s

12.

An airplane is flying in a circular pattern. If the airplane traveling at a speed of

57.1

m/s, and it takes his

134

s to complete an entire circle, what is the radius of the circle the aircraft is tracing out?

4940

m

7650

m

1220

m

2440

m

13.

Jenna is pulling a sled with a rope. She pulls on the rope with a force of

44.5

N, at an angle of

20.0

above horizontal. If Jenna performs

865

J of work on the sled, how much distance does she cover?

22.4

m

16.7

m

20.7

m

24.1

m

14.

Two skyscrapers are located next to each other. One has a mass of

2.04

10

8

kg, and the other has a mass of

1.77

10

8

kg. Their respective centers of mass are a distance of

62.5

m apart. What is the force of the gravitational attraction between the two buildings?

38

,

600

N

617

N

2490

N

7710

N

15.

A team of astronomers discovers a new planet. They estimate that the planet has a mass of

8.98

10

25

kg, and a radius of

16

,

100

km. What is the acceleration of gravity at the surface of this newly discovered planet?

23.1

m/s

2

8.84

m/s

2

19.6

m/s

2

11.7

m/s

16.

The wheel of a car is spinning with a period of

0.138

s. If the wheel has a radius of

0.343

m, what is the velocity of a point on the edge of the wheel?

9.15

m/s

19.2

m/s

13.4

m/s

15.6m/s

17.

Havilah is pushing a shopping cart with a force of

19.9

N, at angle of

16.1

downward from the horizontal. If she pushes the cart 9.55 m, how much work has she done on it?

165

J

183

J

190

J

195

J

18.

At sea level, the air pressure is

101

,

325

Pa. How much force is the air at sea level exerting on an area of

4.41

m

2

?

4.47

10

5

N

7.68

10

4

N

1.29

10

5

N

2.3

10

4

N

19.

Florence is spinning a

770

g weight tied to a string over her head. The string is

0.94

m long, and the weight is moving with a speed of 4.24 m/s. What is the centripetal force pulling the weight inward?

20.6

N

19.7

N

11.0

N

14.7

N

20.Earth's orbit is nearly circular. If, however, Earth's orbit were more elongated and elliptical, what other effects would that have on Earth's orbit?

21.

A certain type of centrifuge spins specimens by attaching them to a

0.4

m cable. If the specimen being spun has a mass of

250

g, and the cable is designed to fail at a force greater than

660

N, what is the maximum velocity the specimen can reach?

24.2

m/s

29.1

m/s

32.5

m/s

16.0

m/s

22.

In a circus stunt sometimes called a "globe of death," a motorcyclist rides inside of a spherical cage. When they are traveling fast enough, they exhibit uniform circular motion. What is causing the centripetal force that keeps them in uniform circular motion?

23.

An Olympic-size swimming pool has a length of

50.0

m, a width of

25.0

m, and contains

2.5

10

6

kg of water. What is the pressure that the water exerts on the floor of the pool?

2000

Pa

7790

Pa

8450

Pa

19

,

600

Pa

24.

A carnival ride spins riders in a circle. The ride operator does not want the centripetal acceleration on the ride to exceed

19.62

m/s

2

. If the radius of the ride is

5.50

m, what is the maximum speed the riders can achieve, and stay under the acceleration limit?

25.1

m/s

3.57

m/s

10.4

m/s

108

m/s

25.

Lindsay is in an airplane, preparing to skydive. Lindsay has a mass of

71.1

kg, and the airplane is flying at an altitude of

3620

m above the ground. Before she jumps from the airplane, how much gravitational potential energy does he have?

2.52

10

6

J

6.44

10

5

J

2.57

10

5

J

1.90

10

6

J

26.

Robert is riding his skateboard around a skate park. At the top of one feature, he has

475

J of kinetic energy, and

2240

J of gravitational potential energy. Ignoring friction, how much total energy will Robert have when he is at the bottom of the feature.

2715

J

2240

J

475

J

1765

J

27.

On a certain planet, a

4950

kg rock weighs

22

,

030

N. If this planet has a radius of

4200

km, what is the mass of the planet?

1.92

10

25

kg

1.18

10

24

kg

4.51

10

24

kg

3.06

10

25

kg

28.

One of Saturn's moons orbits with a period of approximately

2.7

days. If Saturn has a mass of

5.68

10

26

kg, then what is the orbital radius of this moon?

8.76

10

10

m

5.23

10

25

m

6.29

10

16

m

3.74

10

8

m

28.

One of Saturn's moons orbits with a period of approximately

2.7

days. If Saturn has a mass of

5.68

10

26

kg, then what is the orbital radius of this moon?

8.76

10

10

m

5.23

10

25

m

6.29

10

16

m

3.74

10

8

m

29.

Leslie is packing up her items to move. One box has a weight of

340

N. The base of the box is

0.36

m

2

. What is the pressure exerted by the box on the floor?

120

Pa

360

Pa

340

Pa

940

Pa

30.

A

815

kg roller coaster cart is at rest at the top of a

51.2

m hill. When the cart reaches the bottom of the hill, how quickly will it be moving?

21.5

m/s

30.0

m/s

31.7

m/s

28.2

m/s

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