Quizbank/Calculus Physics I/T2study

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CalcPhys1T2_Study

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CalcPhys1T2_Study-v1s1

1. A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

___a) 27.11 N.

___b) 31.17 N.

___c) 35.85 N.

___d) 41.23 N.

___e) 47.41 N.

2. A sled of mass 5.2 kg is at rest on a rough surface. A string pulls with a tension of 45.3N at an angle of 59 degress above the horizontal. What is the normal force?

___a) 10.55 N.

___b) 12.13 N.

___c) 13.95 N.

___d) 16.04 N.

___e) 18.45 N.

3. A sled of mass 5.2 kg is at rest on a perfectly smooth surface. A string pulls with a tension of 41.3N at an angle of 55 degress above the horizontal. How long will it take to reach a speed of 9.8 m/s?

___a) 1.87 s

___b) 2.15 s

___c) 2.47 s

___d) 2.85 s

___e) 3.27 s

4. A sled of mass 2.5 kg is on perfectly smooth surface. A string pulls with a tension of 17.7N. At what angle above the horizontal must the string pull in order to achieve an accelerations of 3.1 m/s²?

___a) 48.4 degrees

___b) 55.7 degrees

___c) 64 degrees

___d) 73.6 degrees

___e) 84.7 degrees

In the figure shown, θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the tension, T₁?

___a) 31.26 N.

___b) 35.95 N.

___c) 41.34 N.

___d) 47.54 N.

___e) 54.68 N.

6. In the figure "3 tensions" shown above θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the weight?

___a) 40.3 N.

___b) 46.4 N.

___c) 53.3 N.

___d) 61.3 N.

___e) 70.5 N.

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₂?

___a) 50.38 N.

___b) 57.94 N.

___c) 66.63 N.

___d) 76.62 N.

___e) 88.12 N.

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₁?

___a) 46.5 N.

___b) 55.8 N.

___c) 67 N.

___d) 80.4 N.

___e) 96.5 N.

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

___a) 34.19 N.

___b) 39.32 N.

___c) 45.21 N.

___d) 52 N.

___e) 59.79 N.

10. A mass with weight (mg) of 49 newtons is suspended symmetrically from two strings. The angle between the two strings (i.e. where they are attached to the mass) is 54 degrees. What is the tension in the string?

___a) 27.5 N.

___b) 31.6 N.

___c) 36.4 N.

___d) 41.8 N.

___e) 48.1 N.

11. A mass with weight (mg) equal to 33 newtons is suspended symmetrically from two strings. Each string makes the (same) angle of 72 degrees with respect to the horizontal. What is the tension in each string?

___a) 9.9 N.

___b) 11.4 N.

___c) 13.1 N.

___d) 15.1 N.

___e) 17.3 N.

12. A 2.4 kg mass is sliding along a surface that has a kinetic coefficient of friction equal to 0.68 . In addition to the surface friction, there is also an air drag equal to 6 N. What is the magnitude (absolute value) of the acceleration?

___a) 9.2 m/s².

___b) 10.5 m/s².

___c) 12.1 m/s².

___d) 13.9 m/s².

___e) 16 m/s².

13. A mass with weight (mg) 6.8 newtons is on a horzontal surface. It is being pulled on by a string at an angle of 30 degrees above the horizontal, with a force equal to 2.5 newtons. If this is the maximum force before the block starts to move, what is the static coefficient of friction?

___a) 0.19

___b) 0.23

___c) 0.27

___d) 0.33

___e) 0.39

14.

In the figure shown, the mass of m₁ is 5.1 kg, and the mass of m₂ is 2.8 kg. If the external force, F_ext on m₂ is 148 N, what is the tension in the connecting string? Assume no friction is present.

___a) 95.5 N

___b) 109.9 N

___c) 126.4 N

___d) 145.3 N

___e) 167.1 N

15.

In the figure shown (with m₁ = 5.1 kg, m₂ = 3.5 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

___a) 13.7 m/s²

___b) 15.7 m/s²

___c) 18.1 m/s²

___d) 20.8 m/s²

___e) 23.9 m/s²

16. Nine barefoot baseball players, with a total mass of 692 kg plays tug of war against five basketball players wearing shoes that provide a static coefficient of friction of 0.61 . The net mass of the (shoed) basketball team is 406 kg. What is the maximum coefficient of the barefoot boys if they lose?

___a) 0.358

___b) 0.394

___c) 0.433

___d) 0.476

___e) 0.524

17. Without their shoes, members of a 9 person baseball team have a coefficient of static friction of only 0.23 . But the team wins a game of tug of war due to their superior mass of 607 kg. They are playing against a 5 person basketball team with a net mass of 429 kg. What is the maximum coefficient of static friction of the basketball team?

___a) 0.269

___b) 0.296

___c) 0.325

___d) 0.358

___e) 0.394

18.

In the figure shown, the mass of m₁ is 5.7 kg, and the mass of m₂ is 2.5 kg. If the external force, F_ext on m₂ is 159 N, what is the tension in the connecting string? Assume that m₁ has a kinetic coefficient of friction equal to 0.34, and that for m₂ the coefficient is 0.46 .

___a) 82 N

___b) 94.3 N

___c) 108.5 N

___d) 124.8 N

___e) 143.5 N

19. A merry-go-round has an angular frequency, $\omega$ , equal to 0.188 rad/sec. How many minutes does it take to complete 6.5 revolutions?

___a) 2.74 minutes.

___b) 3.15 minutes.

___c) 3.62 minutes.

___d) 4.16 minutes.

___e) 4.79 minutes.

20. A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

___a) 7.7 newtons.

___b) 8.8 newtons.

___c) 10.2 newtons.

___d) 11.7 newtons.

___e) 13.4 newtons.

21. A merry-go round has a period of 0.34 minutes. What is the minimum coefficient of static friction that would allow a 51.4 kg person to stand3.09 meters from the center, without grabbing something?

___a) 0.017

___b) 0.02

___c) 0.023

___d) 0.026

___e) 0.03

22. What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

___a) 4.1 m/s²

___b) 4.7 m/s²

___c) 5.4 m/s²

___d) 6.2 m/s²

___e) 7.2 m/s²

23. What is the gravitational acceleration on a plant that is 2.01 times more dense than Earth, and a radius that is 1.54 times greater than Earth's?

___a) 26.4 m/s²

___b) 30.3 m/s²

___c) 34.9 m/s²

___d) 40.1 m/s²

___e) 46.1 m/s²

24.

Is $dv/d\ell=v/r$ valid for uniform circular motion?

___ a) Yes

___ b) No

25.

Is $dv=|\vec v_2-\vec v_1|$ valid for uniform circular motion?

___ a) Yes

___ b) No

26.

Is $d\ell=vdt$ valid for uniform circular motion?

___ a) Yes

___ b) No

27.

Is $adt/v =vdt/ r$ valid for uniform circular motion?

___ a) Yes

___ b) No

28.

Is $dv=adt$ valid for uniform circular motion?

___ a) Yes

___ b) No

29.

Is $|d\vec v|=adt$ valid for uniform circular motion?

___ a) Yes

___ b) No

30.

Is $d\ell=|\vec r_2-\vec r_1|$ valid for uniform circular motion?

___ a) Yes

___ b) No

31.

Is $d\ell=|\vec r_2|-|\vec r_1|$ valid for uniform circular motion?

___ a) Yes

___ b) No

32.

Is $v/d\ell=r/dv$ valid for uniform circular motion?

___ a) Yes

___ b) No

33.

Is $dv/r=d\ell/v$ valid for uniform circular motion?

___ a) Yes

___ b) No

34.

Is $rd\ell=vdv$ valid for uniform circular motion?

___ a) Yes

___ b) No

35.

Is $dv=|\vec v_2|-|\vec v_1|$ valid for uniform circular motion?

___ a) Yes

___ b) No

36.

Is $d\ell/dv=v/r$ valid for uniform circular motion?

___ a) Yes

___ b) No

37.

Is $dv/d\ell=r/v$ valid for uniform circular motion?

___ a) Yes

___ b) No

Key to CalcPhys1T2_Study-v1s1

1. A sled of mass 5.5 kg is at rest on a rough surface. A string pulls with a tension of 46.8N at an angle of 40 degress above the horizontal. What is the magnitude of the friction?

-a) 27.11 N.

-b) 31.17 N.

+c) 35.85 N.

-d) 41.23 N.

-e) 47.41 N.

2. A sled of mass 5.2 kg is at rest on a rough surface. A string pulls with a tension of 45.3N at an angle of 59 degress above the horizontal. What is the normal force?

-a) 10.55 N.

+b) 12.13 N.

-c) 13.95 N.

-d) 16.04 N.

-e) 18.45 N.

-a) 1.87 s

+b) 2.15 s

-c) 2.47 s

-d) 2.85 s

-e) 3.27 s

-a) 48.4 degrees

-b) 55.7 degrees

+c) 64 degrees

-d) 73.6 degrees

-e) 84.7 degrees

In the figure shown, θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the tension, T₁?

-a) 31.26 N.

-b) 35.95 N.

+c) 41.34 N.

-d) 47.54 N.

-e) 54.68 N.

6. In the figure "3 tensions" shown above θ₁ is 18 degrees, and θ₃ is 35 degrees. The tension T₃ is 48 N. What is the weight?

+a) 40.3 N.

-b) 46.4 N.

-c) 53.3 N.

-d) 61.3 N.

-e) 70.5 N.

In the figure shown, θ is 33 degrees, and the mass is 2.8 kg. What is T₂?

+a) 50.38 N.

-b) 57.94 N.

-c) 66.63 N.

-d) 76.62 N.

-e) 88.12 N.

In the figure shown, θ is 33 degrees, and the mass is 3.7 kg. What is T₁?

-a) 46.5 N.

+b) 55.8 N.

-c) 67 N.

-d) 80.4 N.

-e) 96.5 N.

In the figure shown, θ₁ is 18 degrees , and θ₃ is 29 degrees . The mass has a weight of 50 N. What is the tension, T₁?

-a) 34.19 N.

-b) 39.32 N.

-c) 45.21 N.

-d) 52 N.

+e) 59.79 N.

+a) 27.5 N.

-b) 31.6 N.

-c) 36.4 N.

-d) 41.8 N.

-e) 48.1 N.

-a) 9.9 N.

-b) 11.4 N.

-c) 13.1 N.

-d) 15.1 N.

+e) 17.3 N.

+a) 9.2 m/s².

-b) 10.5 m/s².

-c) 12.1 m/s².

-d) 13.9 m/s².

-e) 16 m/s².

-a) 0.19

-b) 0.23

-c) 0.27

-d) 0.33

+e) 0.39

14.

+a) 95.5 N

-b) 109.9 N

-c) 126.4 N

-d) 145.3 N

-e) 167.1 N

15.

In the figure shown (with m₁ = 5.1 kg, m₂ = 3.5 kg, and F_ext = 135 N), what is the acceleration? Assume no friction is present.

-a) 13.7 m/s²

+b) 15.7 m/s²

-c) 18.1 m/s²

-d) 20.8 m/s²

-e) 23.9 m/s²

+a) 0.358

-b) 0.394

-c) 0.433

-d) 0.476

-e) 0.524

-a) 0.269

-b) 0.296

+c) 0.325

-d) 0.358

-e) 0.394

18.

-a) 82 N

-b) 94.3 N

+c) 108.5 N

-d) 124.8 N

-e) 143.5 N

19. A merry-go-round has an angular frequency, $\omega$ , equal to 0.188 rad/sec. How many minutes does it take to complete 6.5 revolutions?

-a) 2.74 minutes.

-b) 3.15 minutes.

+c) 3.62 minutes.

-d) 4.16 minutes.

-e) 4.79 minutes.

20. A merry-go round has a period of 0.26 minutes. What is the centripetal force on a 53.3 kg person who is standing 1.35 meters from the center?

-a) 7.7 newtons.

-b) 8.8 newtons.

-c) 10.2 newtons.

+d) 11.7 newtons.

-e) 13.4 newtons.

-a) 0.017

-b) 0.02

-c) 0.023

-d) 0.026

+e) 0.03

22. What is the gravitational acceleration on a plant that is 2.21 times more massive than Earth, and a radius that is 1.74 times greater than Earths?

-a) 4.1 m/s²

-b) 4.7 m/s²

-c) 5.4 m/s²

-d) 6.2 m/s²

+e) 7.2 m/s²

23. What is the gravitational acceleration on a plant that is 2.01 times more dense than Earth, and a radius that is 1.54 times greater than Earth's?

-a) 26.4 m/s²

+b) 30.3 m/s²

-c) 34.9 m/s²

-d) 40.1 m/s²

-e) 46.1 m/s²

24.

Is $dv/d\ell=v/r$ valid for uniform circular motion?

+ a) Yes

- b) No

25.

Is $dv=|\vec v_2-\vec v_1|$ valid for uniform circular motion?

+ a) Yes

- b) No

26.

Is $d\ell=vdt$ valid for uniform circular motion?

+ a) Yes

- b) No

27.

Is $adt/v =vdt/ r$ valid for uniform circular motion?

+ a) Yes

- b) No

28.

Is $dv=adt$ valid for uniform circular motion?

+ a) Yes

- b) No

29.

Is $|d\vec v|=adt$ valid for uniform circular motion?

+ a) Yes

- b) No

30.

Is $d\ell=|\vec r_2-\vec r_1|$ valid for uniform circular motion?

+ a) Yes

- b) No

31.

Is $d\ell=|\vec r_2|-|\vec r_1|$ valid for uniform circular motion?

- a) Yes

+ b) No

32.

Is $v/d\ell=r/dv$ valid for uniform circular motion?

- a) Yes

+ b) No

33.

Is $dv/r=d\ell/v$ valid for uniform circular motion?

- a) Yes

+ b) No

34.

Is $rd\ell=vdv$ valid for uniform circular motion?

- a) Yes

+ b) No

35.

Is $dv=|\vec v_2|-|\vec v_1|$ valid for uniform circular motion?

- a) Yes

+ b) No

36.

Is $d\ell/dv=v/r$ valid for uniform circular motion?

- a) Yes

+ b) No

37.

Is $dv/d\ell=r/v$ valid for uniform circular motion?

- a) Yes

+ b) No

Attribution (for quiz questions) under CC-by-SA license

http://en.wikiversity.org/w/index.php?title=Physics_equations/18-Electric_charge_and_field/Q:findE&oldid=1378605

https://en.wikiversity.org/w/index.php?title=Physics_equations/06-Uniform_Circular_Motion_and_Gravitation/Q:derive&oldid=1411691

Study guide

http://en.wikiversity.org/wiki/Physics_equations/Sheet/All_chapters

Physics_equations#Uniform_Circular_Motion_and_Gravitation

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