A mass m = 2.5 kg is connected to a spring. The mass is pulled back a distance Ax = 0.20 m to the right (positive direction) and the mass vibrates back and forth (1 complete motion) once every 6.0 seconds. a) What is the stiffness (k) of the spring? N/m b) What is the frequency of the vibration? Hz c) How much force was needed to pull back the mass before being released?

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A mass m = 2.5 kg is connected to a spring. The mass is pulled back a distance Ax = 0.20 m to the right (positive
%3D
direction) and the mass vibrates back and forth (1 complete motion) once every 6.0 seconds.
a) What is the stiffness (k) of the spring?
N/m
b) What is the frequency of the vibration?
Hz
c) How much force was needed to pull back the mass before being released?
N
d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it?
e) Complete the following table.
Position (m)
PE (J)
KE (J)
ME (J)
Speed (m/s)
Accel. (m/s²)
Ax = -0.20
Ax = 0.0
Ax = +0.20
f) How long would a pendulum have to be to have the same period?
g) The spring and mass are brought along with a grandfather clock on the first human voyage to Mars. What
would the period of mass and spring be on Mars where gravitational acceleration g = 3.6 m/s? ?
S
Transcribed Image Text:A mass m = 2.5 kg is connected to a spring. The mass is pulled back a distance Ax = 0.20 m to the right (positive %3D direction) and the mass vibrates back and forth (1 complete motion) once every 6.0 seconds. a) What is the stiffness (k) of the spring? N/m b) What is the frequency of the vibration? Hz c) How much force was needed to pull back the mass before being released? N d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it? e) Complete the following table. Position (m) PE (J) KE (J) ME (J) Speed (m/s) Accel. (m/s²) Ax = -0.20 Ax = 0.0 Ax = +0.20 f) How long would a pendulum have to be to have the same period? g) The spring and mass are brought along with a grandfather clock on the first human voyage to Mars. What would the period of mass and spring be on Mars where gravitational acceleration g = 3.6 m/s? ? S
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