College Physics 2e

# Chapter 16

### 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.

$3.38 × 10 –5 W/m 2 3.38 × 10 –5 W/m 2$ Do you know how you learn best?