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A water wheel rotates with a period of 2.26 s. If the water wheel has a radius of 1.94 m, what is the velocity of

A water wheel rotates with a period of

2.26

s. If the water wheel has a radius of

1.94

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

5.39

m/s

5.84

m/s

6.15

m/s

6.20

m/s

2.

Claire is setting up a

1070

N bird bath on her lawn. If the pressure on the lawn exceeds

5450

Pa, the soil will shift and compact, making the bird bath unstable. What is the minimum area over which the bird bath's weight should be distributed to avoid compacting the soil too much?

0.196

m

2

5.09

m

2

1.16

m

2

0.844

m

3.

If a

11

,

250

N force is applied over an area of

3.122

m

2

, what is the pressure that is being exerted?

11

,

250

Pa

19

,

980

Pa

35

,

120

Pa

3603

Pa

4.

Ronald is pushing a shopping cart with a force of

16.0

N, at angle of

11.5

downward from the horizontal. If Ronald pushes the cart

14.9

m, how much work has he done on it?

2110

J

744

J

189

J

234

J

5.

Clara is pushing a broken down car. She pushes with a force of

625

N, and is able to move the car a distance of

18.8

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

2240

J

33.2

J

11

,

800

J

0

J

6.

On a certain planet, a

145

kg rock weighs

2378

N. If this planet has a mass of

3.85

10

25

kg, what is the radius of the planet?

19

,

600

km

17

,

400

km

23

,

900

km

12

,

500

km

7.

Cody is at the top of a

6.2

m tall slide. He has a mass of

35

kg. Before he begins moving, how much gravitational potential energy does he have?

2100

J

340

J

1100

J

220

J

8.

The planet Neptune has a mass more than

17

times greater than Earth's, but the gravity at the surface of Neptune is similar to Earth's:

11.15

m

s

2

. What attributes of Neptune would account for this?

9.

The planet Mercury has a mass of

3.30

10

23

kg, and a radius of

2440

km. How much would a

924

kg robotic rover weigh on the surface of Mercury?

3420

N

9060

N

5640

N

12

,

200

N

10.

An asteroid is headed towards a certain planet. The planet has a mass of

2.33

10

27

kg, and a radius of

70

,

400

km. What is the acceleration of gravity that the asteroid will experience when it is about to crash into the surface of the planet?

14.6

m/s

2

28.3

m/s

2

31.4

m/s

2

19.9

m/

11.

A

694

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

49.9

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

38.0

m/s

26.4

m/s

36.9

m/s

31.3

m/s

12.

Dakota is spinning a

400

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

1.38

m long, and the weight is moving with a speed of

3.91

m/s. What is the centripetal force pulling the weight inward?

8.44

N

4.43

N

2.16

N

1.13

N

13.

Monique is pulling a wagon with a rope. She pulls on the rope with a force of

68.0

N, at an angle of

33

above horizontal. If Monique performs

1840

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

29

m

24

m

18

m

32

m

14.

The International Space Station (ISS) experiences something called orbital decay, causing the ISS to get

90

m closer to Earth every hour. What effect does orbital decay have on the velocity and orbital period of the ISS?

15.

Jonas throws a ball up into the air. On its trip upward, the ball's velocity goes from

9.1

m/s to

0

m/s. On its trip downward, the ball's velocity goes from

0

m/s to

9.1

m/s. Did gravity do any work on the ball during the trip upward? Did gravity do any work on the trip downward? Justify your answer.

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