Physics 101 - Suggested Extra Problems     Fall '98

Various people have asked for a list of suggested problems, aside from the homework, that would be particularly good to attempt. Here, I'll provide a list of problems from Fishbane et al. (either odd-numbered ones, so you can check the answer in the back of the book, or else I'll put the numerical answer here), but I'd also suggest that you could look at one or more of the alternate textbooks for additional problems and worked examples. I'll try and update this list as the term progresses...  

Chapter 1:

1-51

1-53

1-56    (Answer: v = k(B/

)^1/2, where k is an unknown constant).

Chapter 2:

2-10    (Answer: v₀-½g;   v₀-3g/2;   v₀-(+½)g)

2-26    (Answer: a = 10.5 m/s²)

2-37

2-49

2-58    (Answer: 10.9 m, and g_planet = 1.27 m/s²)

2-73    (imagine surviving without a parachute!)

Chapter 3:

3-20    (Answer: v = (146 m/s)i + (53 m/s)j;   r = (182 m)i + (161 m)j; hint: integration!)

3-23

3-25

3-28    (Answer: a) at foot of mast   b) 1.3 s   c) 4.4 m horizontal and 8.5 m vertical)

3-36    (Answer: a) 7.1 m/s   b) 58 m   c) 34 m/s)

3-46    (Answer: a) 15 m/s²;   8.2 m/s)

3-57

Chapter 4:

4-18    (Answer: 10⁵ m/s; 10⁶ m/s; 10⁸ m/s)

4-31

4-51    (Hint: differentiate...)

4-59

Chapter 5:

5-2    (Answer: 27 lb)

5-5    (any problem involving hockey has got to be good... )

5-9

5-14    (Answer: 32°)

5-22    (Answer: 5.9 x 10² N)

5-34    (Answer: 9.4 m/s; 4.7 m)

5-36    (Answer: 47 kg/m)

5-45

5-51    (does anyone remember turntables and vinyl records?)

5-74    (Answer: 9.3 m/s)

Chapter 6:

6-7

6-11

6-33

6-34    (Answer: W_f = -4.3 x 10²J,   µ_k = 0.20)

6-37

6-81

6-84    (Answer: a) 5.9 x 10³ N   b) -2.8 x 10⁵ N   c) 23 m/s)

Chapter 7:

7-1

7-6    (Answer: F_archer = 2bx + 3cx²; F_string = -2bx - 3cx²)

7-11

7-14    (Answer: a) 4.8 cm   b) -1.7m/si)

7-17    (this is actually a very realistic potential)

7-22    (Answer: a) F₁=+, F₂=0, F₃=-, F₄=0, F₅=0, F₆=+;   b) 1 is most +ve, 3 most-ve, 2,4,5 are zero; c) 4 unstable; 2,5 are stable)

7-43

7-59    (Hint: for part c), you need to recognize that the acceleration is being caused by the tension and a component of gravity)

Chapter 8:

8-7

8-12    (Answer: a) 2.3 kg·m/s up   b) 180 N up)

8-16    (Answer: a) 1.2 x 10³ kg·m/s   b) 6 x 10³ N)

8-26    (Answer: 11 m/s, straight up)

8-34    (Answer: a) 4.0 m/s   b) 8.0 m/s in direction of bullet's original motion)

8-38    (Answer: a) 1.8 m/s   b) 0.66 m)

8-41

8-51

8-78    (Answer: the boxcar moves 1.5 m toward the end where the water was...Hint: what can you say about the position of the center-of-mass if there are no net external forces?)

Chapter 9:

9-7

9-12    (Answer: 18.6 cm)

9-21

9-38    (Answer: 50 s)

9-44    (Answer: 2.4 x 10² kg)

9-47    we did this as a demonstration in class...

9-53    try the experiment with a full and an empty soda can...

9-66    (Answer: a) T = ½Mgsin   b) 2(2T - Mgsin)/3M )

Chapter 10:

10-2    (Answer: 3i+5j+9k kgm²/s)

10-7    (Hint: use L = r x p in unit vector form...)

10-25

10-27

10-38    (Answer: a) 1.4 x 10⁴ kgm²   b) 8.1 x 10⁶ )

10-52    (Answer: a) 1.4 m/s²   1.5 s)

Chapter 11:

11-7

11-10    (Answer: 0.48 m)

11-22    (Answer: a) 57°   b) the board will fall)

11-29

11-39

Chapter 12:

12-16    (Answer: a) 2.59 x 10⁸m from Earth's center   b) 3.46 x 10⁸ m from Earth's center)

12-24    (Answer: 4.08 x 10⁶)

12-29

12-53    (anyone ever see 2001: A Space Odyssey?

Chapter 13:

13-6    (Answer: 0.142 m)

13-13

13-18    (Answer: phase angle = 180°)

13-31

13-35    this should be familiar from the lab...

13-38    (Answer: a) 0.066 m   b) 0.093 m)

13-58    (Answer: 2[(R² + 2L²)/2gL]^1/2; Hint: you may want to use the parallel-axis theorem)

13-67

13-71

13-73

Chapter 14:

14-7

14-9    assume that the moving end moves so slightly as to be essentially a node...

14-11

14-31

14-40    (Answer: 3.2 x 10³)

14-53    (hint: a reflection does not change the frequency or wavelength of a wave...)

14-60    (Answer: m₁ = 484 g, m₄=77.4 g)

14-61

Chapter 15:

15-18    (Answer: 4.5 x 10^-3 or 0.45%)

15-25

15-28    (Answer: 6.4 x 10^-7 m)

15-49

Chapter 16:

16-11

16-16    (Answer: 1.2 x 10⁵ N)

16-27

16-31

16-40    (Answer: 2.50 x 10⁵ Pa "gauge", where "gauge" refers to the amount the pressure exceeds atmospheric pressure)

16-46    (Answer: v₁ = 6.2 m/s; v₂ = 3.1 m/s)