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A mass m = 2.5 kg is connected to a spring as shown in the figure. 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. AX a) What is the stiffness (k) of the spring? 2.74 v N/m b) What is the frequency of the vibration? .167 v Hz c) How much force was needed to pull back the mass before being released? .548 v N d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it? 1 x m e) Complete the following table. Position (m) PE (J) KE (J) ME (J) Speed (m/s) Accel. (m/s2) Ax = -0.20 .0458 1 1 1 Ax = 0.0 Ax = +0.20 1 f) How long would a pendulum have to be to have the same period? 1 x m 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/s2 ? 1 X S

A mass m = 2.5 kg is connected to a spring as shown in the figure. 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. AX a) What is the stiffness (k) of the spring? 2.74 v N/m b) What is the frequency of the vibration? .167 v Hz c) How much force was needed to pull back the mass before being released? .548 v N d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it? 1 x m e) Complete the following table. Position (m) PE (J) KE (J) ME (J) Speed (m/s) Accel. (m/s2) Ax = -0.20 .0458 1 1 1 Ax = 0.0 Ax = +0.20 1 f) How long would a pendulum have to be to have the same period? 1 x m 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/s2 ? 1 X S

Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
Section: Chapter Questions
Problem 37AP: Review. A particle of mass 4.00 kg is attached to a spring with a force constant of 100 N/m. It is...
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A mass m = 2.5 kg is connected to a spring as shown in the figure. 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. AX a) What is the stiffness (k) of the spring? 2.74 v N/m b) What is the frequency of the vibration? .167 v Hz c) How much force was needed to pull back the mass before being released? .548 v N d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it? 1 x m e) Complete the following table. Position (m) PE (J) KE (J) ME (J) Speed (m/s) Accel. (m/s2) Ax = -0.20 .0458 1 1 1 Ax = 0.0 Ax = +0.20 1 f) How long would a pendulum have to be to have the same period? 1 x m 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/s2 ? 1 X S
Transcribed Image Text:A mass m = 2.5 kg is connected to a spring as shown in the figure. 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. AX a) What is the stiffness (k) of the spring? 2.74 v N/m b) What is the frequency of the vibration? .167 v Hz c) How much force was needed to pull back the mass before being released? .548 v N d) How far would the mass shift from the equilibrium position if 1.2 N of force was used to pull it? 1 x m e) Complete the following table. Position (m) PE (J) KE (J) ME (J) Speed (m/s) Accel. (m/s2) Ax = -0.20 .0458 1 1 1 Ax = 0.0 Ax = +0.20 1 f) How long would a pendulum have to be to have the same period? 1 x m 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/s2 ? 1 X S
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