A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m 90 ✔ (b) What is the frequency of the oscillations (in Hz)? 1.44 Hz (c) What is the maximum speed of the cylinder (in m/s)? 1.81 m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? x = t m (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? (h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s (1) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²

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A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m
from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the
x-axis, where x = 0 is the equilibrium position.)
(a) What is the spring constant (in N/m)?
N/m
90
✔
(b) What is the frequency of the oscillations (in Hz)?
1.44
Hz
(c) What is the maximum speed of the cylinder (in m/s)?
1.81
m/s
(d) At what position(s) (in m) on the x-axis does the maximum speed occur?
x = t
m
(e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².)
m/s²
(f) At what position(s) (in m) on the x-axis does the maximum acceleration occur?
x = t
m
(g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)?
(h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s
(i) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium?
m/s²
Transcribed Image Text:A metal cylinder with a mass of 1.10 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The cylinder is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 18.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The cylinder oscillates along the x-axis, where x = 0 is the equilibrium position.) (a) What is the spring constant (in N/m)? N/m 90 ✔ (b) What is the frequency of the oscillations (in Hz)? 1.44 Hz (c) What is the maximum speed of the cylinder (in m/s)? 1.81 m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x = t m (e) What is the maximum acceleration of the cylinder? (Enter the magnitude in m/s².) m/s² (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? x = t m (g) What is the total mechanical energy of the oscillating spring-cylinder system (in J)? (h) What is the speed of the cylinder (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s (i) What is the magnitude of the acceleration of the cylinder (in m/s2) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²
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