102 University of South Alabama Physics PH 114/PH 115 Laboratory Manual 10.4 Preliminary Assignment 1) A series of weights are hung from a spring and the distances the spring stretches from equilibrium are measured. These data are recorded in the table below. A) Plot the force vs. displacement. B) Calculate the spring constant. (Remember: The spring constant is the slope of the force vs. displacement plot.) Weight Displacement + 10-3 N + 0.4 cm 0.0 0.00 0.493 4.80 0.689 6.70 0.885 8.70 1.081 10.50 2) Let the spring in the first problem have a mass of (191.3+0.1)g. A (75.1+0.1)g mass is attached to the spring. The mass is displaced y2 inch and released from rest. After fitting the position data with a Sine fit, the position amplitude is found to be (0.0146+0.0003) m. A) Calculate the angular frequency of the mass (with uncertainty). B) Determine the amplitude of the velocity of the mass (with uncertainty). C) Find the amplitude of the acceleration (with uncertainty)