Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo

Problems & Exercises

1.

(a) 1.23×103N/m1.23×103N/m

(b) 6.88 kg6.88 kg

(c) 4.00 mm4.00 mm

3.

(a) 889 N/m

(b) 133 N

5.

(a) 6.53×103N/m6.53×103N/m

(b) Yes

7.

16.7 ms

8.

0.400 s / beats 0.400 s / beats

9.

400 Hz

10.

12,500 Hz

11.

1.50 kHz

12.

(a) 93.8 m/s

(b) 11 . 3 × 10 3 rev/min 11 . 3 × 10 3 rev/min

13.

2 . 37 N/m 2 . 37 N/m

15.

0.389 kg

18.

94.7 kg

21.

1.94 s

22.

6.21 cm

24.

2.01 s

26.

2.23 Hz

28.

(a) 2.99541 s

(b) Since the period is related to the square root of the acceleration of gravity, when the acceleration changes by 1% the period changes by (0.01)2=0.01%(0.01)2=0.01% so it is necessary to have at least 4 digits after the decimal to see the changes.

30.

(a) Period increases by a factor of 1.41 (22)

(b) Period decreases to 97.5% of old period

32.

Slow by a factor of 2.45

34.

length must increase by 0.0116%.

35.

(a) 1.99 Hz1.99 Hz

(b) 50.2 cm

(c) 1.40 Hz, 71.0 cm

36.

(a) 3.95×106N/m3.95×106N/m

(b) 7.90×106J7.90×106J

37.

a). 0.266 m/s

b). 3.00 J

39.

± 3 2 ± 3 2

42.

384 J

44.

(a). 0.123 m

(b). −0.600 J

(c). 0.300 J. The rest of the energy may go into heat caused by friction and other damping forces.

46.

(a) 5.00×105 J5.00×105 J

(b) 1.20×1031.20×103 s

47.
t = 9 . 26 d t = 9 . 26 d
49.
f = 40 . 0 Hz f = 40 . 0 Hz
51.
v w = 16 . 0 m/s v w = 16 . 0 m/s
53.
λ = 700 m λ = 700 m
55.
d = 34 . 0 cm d = 34 . 0 cm
57.

f = 4 Hz f = 4 Hz

59.

462 Hz,

4 Hz

61.

(a) 3.33 m/s

(b) 1.25 Hz

63.

0.225 W

65.

7.07

67.

16.0 d

68.

2.50 kW

70.

3.38 × 10 –5 W/m 2 3.38 × 10 –5 W/m 2

Order a print copy

As an Amazon Associate we earn from qualifying purchases.

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information Citation information

© Jan 19, 2024 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.