A 0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f 3.185 Hz. At a position x1, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of ocillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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1) A0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f 3.185 Hz.
At a position x, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of
oscillation, A, is:
(a) 0.12 m
(b) 0.22 m
(c) 0.31 m
(d)0.42 m
2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency S. If the
mass is changed to m'= m/2, and the spring force is changed to k' 2k, then the new frequency f' of
the oscillation would be,
(a)f= 25
(b)/ =f
(c)f' = f/2
(d)/= 4f
The following given is for questions 3 and 4:
A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to
oscillates on a frictionless horizontal surface. At time t=0 its position is x, = 0 and its velocity is
Vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, e:
(a)A 0.5, p= #/2
(b)A 0.5, o=-1/2
(c) A 0.25, p=7/2
Page 1 73
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Transcribed Image Text:1) A0.1 kg object oscillates as a simple harmonic motion along the x-axis with a frequency f 3.185 Hz. At a position x, the object has a kinetic energy of 0.7 J and a potential energy 0.3 J. The amplitude of oscillation, A, is: (a) 0.12 m (b) 0.22 m (c) 0.31 m (d)0.42 m 2) A block of mass m is attached to a spring with force constant, k and oscillate at a frequency S. If the mass is changed to m'= m/2, and the spring force is changed to k' 2k, then the new frequency f' of the oscillation would be, (a)f= 25 (b)/ =f (c)f' = f/2 (d)/= 4f The following given is for questions 3 and 4: A block of mass m = 2 kg is attached to a spring with spring constant k = 200 N/m, and set to oscillates on a frictionless horizontal surface. At time t=0 its position is x, = 0 and its velocity is Vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, e: (a)A 0.5, p= #/2 (b)A 0.5, o=-1/2 (c) A 0.25, p=7/2 Page 1 73 Desktop
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