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 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 %3D

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PHYS220 _ Spring/20-21 _ Practice Sheet-1 _ Keys
1) 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
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 f. 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' = 2f
(b)f' = f
(c) f' = f /2
(d)f' = 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 xo = 0 and its velocity is
vo = +5 m/s.
3) Which of the following is true about the oscillation amplitude and the phase constant, p:
(a)A = 0.5, 9= #|/2
(b)A = 0.5, =-n/2
(c) A = 0.25, o=R/2
(d)A = 0.25, o =-/2
4) When the block's velocity has the value v = vmax/2, then its position has the possible values of:
(a) x = +(3/4)A
Transcribed Image Text:10 14:43 3 all 68% i + PHYS220_Spring-20-21_... Z PHYS220 _ Spring/20-21 _ Practice Sheet-1 _ Keys 1) 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 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 f. 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' = 2f (b)f' = f (c) f' = f /2 (d)f' = 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 xo = 0 and its velocity is vo = +5 m/s. 3) Which of the following is true about the oscillation amplitude and the phase constant, p: (a)A = 0.5, 9= #|/2 (b)A = 0.5, =-n/2 (c) A = 0.25, o=R/2 (d)A = 0.25, o =-/2 4) When the block's velocity has the value v = vmax/2, then its position has the possible values of: (a) x = +(3/4)A
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