Page 81 - SP015 Past Years PSPM Chapter 6 -14 Ver 2020

PSPM SP015

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12. (a) T = 8.89 s (b) v max = 21.2 m s
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13. (a) a = 30.12 m s (b) F = 27.11 N
14. y =  4.3 cm
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15. (a) f = 0.2 Hz (b) v = –0.48 cm s (c) a = –0.50 cm s
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(d) E = 3.95  10 J
16. (a) x = 12.5 sin 3.49t where x is in cm and t is in seconds.
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(b) a = 91.4 cm s , v = 34.9 cm s (c) x = 8.84 cm
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17. (a) f = 1 Hz (b) v = –25.1 cm s (c) a = 0 cm s
18. (a) x = 2 sin 3t where x is in cm and t is in s.
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(b) v max = 18.8 cm s (c) a = 169 cm s
19. h max = 0.13 m
20. (a) A = 2 cm, T = 4 s (b) y  2 sin (  2 ) t where y is in cm and t is in second
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22. (a) A = 0.2 m (b)  = 10 rad s
24. A = 15 cm, f = 1.25 Hz
25. (a) A = 0.13 m (b) t = 0.07 s
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26. (a) A = 5 cm (b) f = 0.25 Hz (c)  = 1.57 rad s
(d) y  5 sin   t where y is in cm and t is in seconds

2
2
2
27. (a) a = – x or a = – A sin ( t   )
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(c) v = 8.65 m s (d) E = 2.03 J (f) T stays the same.
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29. (a) A = 8 cm (b)  = 7.85 rad s (c) E = 0.04 J
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30. (a) v (t) = –10 sin 2t where v is in m s and t is in s.
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(c) a max = 20 m s (d) E = 10 J
31. Elongation percentage for the cable of the pendulum is 26.6%.
32. m = 800 kg
33. (a) Oscillation period will decrease. (b) Oscillation period remains the same.
34. m = 0.7 kg
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35. g = 1.6 m s
36. T = 0.4 s
37. m = 0.54 kg
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38. (a)  = 1.05 rad s (b) Additional mass that should be added to the spring is 38.89 kg.
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39. (a) T = 0.93 s (b) v max = 0.68 m s (c) E = 0.04 J
40. (a) T = 0.549 s
(b) If the spring with the same load is allowed to oscillate horizontally on a frictionless surface, the
period will be the same because same load and same spring is used.
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41. (a) E = 0.028 J (b) v = 0.97 m s (c) T = 0.01 s

FINAL ANSWER FOR CHAPTER 10: MECHANICAL AND SOUND WAVES

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1. T = 0.2 s, f = 5 Hz,  = 10 rad s , k = 5.24 rad m
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2. (b) A = 15 m,  = 6.67 m,  = 3 rad s , f = 1.5 Hz, T = 0.67 s, v = 10 m s
3. Direction of wave propagation is to the right.
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4. (a)  = 0.94 m (b) v = 46.97 m s
(c) Direction of wave propagation is to the left. (d)  = 3 rad

5. (a) v  24 cos (8 t  0.4x ) cm s -1
y
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(b) a   192  sin (8 t  0.4x ) cm s -2 (c) v = 0.63 m s

y
 t x 
6. y  Asin 2    

 T  
7. (a) y = A sin  t (b) y 1  A sin (t   2 )

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8.  = 44 m,  = 50 rad s , k = 22 rad m or k = 0.14 rad m
9. Two important properties of progressive wave.
- Each of particle oscillate with the same amplitude.
- Progressive wave is able to transfer energy from one to another point.
11. (a)  = 0.5 m (b) y = 0.2 sin (3770t – 12.57x) where y and x are in meter and t is in second.
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