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A solid metal block with a mass of 1.30 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 30.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block oscillates along the axis, where is the equilibrium position) (a) What is the spring constant (Nm)? ✔ N/m (6) What is the frequency of the oscillations (in Pr? 145 ✔HE (c) What is the maximum speed of the block (in m/s)? (4) At what position(s) (inm) on the x-axis does the maximum speed occur? **** (e) What is the maximum acceleration of the block? (Enter the magnitude in m/s².) (1) At what position(s) (inm) on the x-axis does the maximum acceleration occur? *** 02 (0) What is the total mechanical energy of the oscillating spring-block system (in) (h) What is the speed of the block (in mus) when its position is equal to one-third of the maximum displacement from equilibrium? m/s 00 What is the magnitude of the acceleration of the block (in m/s) when its position is equal to one-third of the maximum from m/s² Need Help? 10. [3/4 Points] DETAILS MY NOTES PRACTICE ANOTHER A simple pendulum with a length of 3.13 m and a mass of 664 kp is given an initial speed of 2.36 m/s at its equilibrium position (a) Assuming it undergoes simple harmonic motion, determine its period (ins). 356 (b) Determine its total energy (3) 18.5 ✓1 PREVIOUS ANSWERS SERPSE10 15.A.OP.042. (c) Determine its maximum angular displacement (in degrees). (For large, and/or small, the small angle approximation may not be good enough here.) 2461 (4) What If? Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for its motion to be described as simple harmonic motion using the small angle approximation where @ 10 Need Help? 11. [-/3 Points] DETAILS MY NOTES PRACTICE ANOTHER An oscilator with period 1.5 ms passes through equilibrum att73 with velocity 37 m/s. The equation of the scator's motion is AJI+ * cm cost
A solid metal block with a mass of 1.80 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 30.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block escilates along the x-axis, where xD is the equilibrium position.) (a) What is the spring constant (in N/m)? 150 (b) What is the frequency of the oscillations in M 1.45 ✔Hz (c) What is the maximum speed of the block (in m/s)? 1.82 ✔ m/s (d) At what position(s) (in m) on the x-axis does the maximum speed occur? (e) What is the maximum acceleration of the block? (Enter the magnitudes) 16.6 (f) At what position(s) (in m) on the x-axis does the maximum acceleration occur? *- 02 (g) What is the total mechanical energy of the oscillating spring-block system (n-3)? (h) What is the speed of the block (in mys) when its position is equal to one-third of the maximum displacement from equilibrium? (1) What is the magnitude of the acceleration of the block (in m/s²) when its position is equal to one-third of the maximum displacement from equilibrium? m/s² Need Help? m/s 10. [3/4 Points] DETAILS PREVIOUS ANSWERS SERPSE 10 15.A.OP.042. MY NOTES PRACTICE ANOTHER A simple pendulum with a length of 3.13 m and a mass of 6.54 kg is given an initial speed of 2.36 m/s at its equilibrium position. (a) Assuming it undergoes simple harmonic motion, determine its period(s) 3.56 (b) Determine its total energy (in 3). 18.5 (c) Determine its maximum angular displacement (in degrees). (For not be good enough here.) Need Help? < small, the small angle approximation m (d) What If? Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for its motion to be described as simple harmonic motion using the small angle approximation where #10?
11. [-/3 Points] DETAILS MY NOTES PRACTICE ANOTHER An oscillator with period 1.5 ms passes through equilibrium at t = 7.3 ms with velocity v = -3.7 m/s. The equation of the oscillator's motion is x(t) = cm cos (( /s) t+
9. [6/9 Points] DETAILS PREVIOUS ANSWERS SERPSE10 15.3.0P.017. MY NOTES PRACTICE ANOTHER A solid metal block with a mass of 1.80 kg is attached to a spring and is able to cane hontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 300 N, and then released from rest. It then oscillates in simple harmonic motion. (The block oscillates along the where is the equilibrium position) (a) What is the spring constantin ✔m (b) What is the frequency of the oscillations ( 1.45 (c) What is the maximum speed of the block (in m 1.42 (d) At what position(s) (nm) on the axis does the maximum speed ? (e) What is the maximum o (1) At what position(s) (nm) on th acceleration of the block? (Enter the m (g) What is the total mechanical energy of the oscillating spring-block system (2 (k) What is the speed of the block (in m/s) when its position is equal to one-third of the equilibrium? m/s Need Help? 00 What is the magnitude of the acceleration of the block (in m/s) when ts position displacement from equum does the maximum a 10. [3/4 Points) DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A simple pendulum with a length of 3.13 m and a mass of (a) Assuming it undergoes simple harmonic motion, determine its period ( 355 (B) Determine its total energy (3) Need Help? (C) Determine its maximum angular displacement (in degrees). (For not be good enough here) 11. [-/3 Points) DETAILS SERPSE10 15.A.OP.042 (4) What If? Based on your answer to part (r), by what factor a its motion to be described as simple harmonic motion a THA um displacement from of the maximum MY NOTES ats equirium postion small angle approximation < have to be reduced for 107 PRACTICE ANOTHER
11. [-/3 Points] DETAILS MY NOTES PRACTICE ANOTHER An oscillator with period 1.5 ms passes through equilibrium at t = 7.3 ms with velocity v = -3.7 m/s. The equation of the oscillator's motion is x(t) = cm cos (( /s) t+
A solid metal block with a mass of 1.80 kg is attached to a spring and is able to oscillate horizontally with negligible friction. The block is pulled to a distance of 0.200 m from its equilibrium position, held in place with a force of 30.0 N, and then released from rest. It then oscillates in simple harmonic motion. (The block oscillates along the x-axis, where x = 0 is the equilibrium position) (a) What is the spring constant (in N/m)? 150 x/m (b) What is the frequency of the oscillations (in Hz)? (c) What is the maximum speed of the block (in m/s)? 1.82 ✔mus (d) At what position(s) (in m) on the x-axis does the maximum speed occur? x-10 (e) What is the maximum acceleration of the block? (Enter the magnitude in m/s².) 16.6 m/s² (1) At what position(s) (in m) on the x-axis does the maximum acceleration occur? x-1.02 (g) What is the total mechanical energy of the oscilating spring-block system (in 3? J (h) What is the speed of the block (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? (1) What is the magnitude of the acceleration of the block (in m/s) when its position is equal to one-third of the maximum displacement from equilibrium? m/s²
A simple pendulum with a length of 3.13 m and a mass of 6.64 kg is given an initial speed of 2.36 m/s at its equilibrium position. (a) Assuming it undergoes simple harmonic motion, determine its period (in s). 355 (b) Determine its total energy (3) 16.5 (c) Determine its maximum angular displacement (in degrees). (For large v, and/or small, the small angle approximation may not be good enough here.) 2401 (0) What IP Based on your answer to part (c), by what factor would the total energy of the pendulum have to be reduced for as motion to be described as simple harmonic motion using the ma angle approximation where 10 Need Help? | fe 11. (-/3 Points) DETAILS Ansator with penod 15 (D- s passes through squarum at t-7.3 ms with velocity-3.7 m/s. The equation of the uncutar's motion cos(( cm At Submit Assignment Save Assignment Progress MacBook Pro MY NOTES PRACTICE ANOTHER
9. 16/9 Points) DETAILS PREVIOUS ANSWERS MY NOTES PRACTICE ANOTHER A sold metablock with a mass of 180 pattached to kis led to a distance of 0.200 m from s mors rest. It the late in simple harmonic motion. (The what is the spring (b) What is the frequency of the actions 145 (What is the maximum speed of the m/w (What is the mace of the book the MA (a) What is the mechanical eng quum What is the magnitude of the action of the back placement from 10. [3/4 Points] DETAILS PREVIOUS ANSWERS SERPSE1015.A.OP.042 PRACTICE ANOTHER Ample pendulum a length of 2.13 and MY NOTES Assunges sigle fame moderne 355 (b) Deterg ()Determinem angular diamento not the good enough here.) 2461 What do your answer to pat s motion to be described in simple harmonic 11. [-/3 Points] SERPSE 10 15.3.0P.017. ain DETAILS w te hotay with neige fiction, The and the reased from penitulum have to be reduced for MY NOTES PRACTICE ANOTHER