GRAPH #1. Data Table. Force (N) Elongation (m) Force vs. Elongation

Transcription

1 GRAPH #1 In a laboratory investigation, a student applied various downward forces to a vertical spring. The applied forces and the corresponding elongations of the spring from its equilibrium position are recorded in the data table below. Force (N) Elongation (m) Force vs. Elongation Force (N) Elongation (m) a) Mark an appropriate scale on the axis labeled Force (N). b) Plot the data points for force versus elongation. c) Draw the line or curve of best fit. d) Using your graph, determine the force on the spring when it is elongated a distance of meters. e) Calculate the spring constant of the spring. [Show all work, including the equation and substitution with units.]

2 GRAPH #2 The spring in a dart launcher has a spring constant of 140 newtons per meter. The launcher has six power settings, 0 through 5, with each successive setting having a spring compression meter beyond the previous setting. During testing, the launcher is aligned to the vertical, the spring is compressed, and a dart is fired upward. The maximum vertical displacement of the dart in each trial is measured. The results of the testing are shown in the table below. Power Setting Spring Compression (m) Dart s Maximum Vertical Displacement (m) Dart s Maximum Vertical Displacement vs. Spring Compression Dart s Maximum Vertical Displacement (m) Spring Compression (m) a) Plot the data points for the dart s vertical displacement versus spring compression. b) Draw the line or curve of best fit. c) Using information from your graph, calculate the energy provided by the compressed spring that causes the dart to achieve a maximum vertical displacement of 3.50 m. d) Determine the magnitude of the force, in newtons, needed to compress the spring meter.

3 GRAPH #3 A 1.00 kilogram mass was dropped from rest from a height of 25.0 meters above the Earth s surface. The speed of the mass was determined at 5.0 meter intervals and recorded in the data table below. Height Above Earth s Surface (m) Speed (m/s) Speed vs. Height Above Earth s Surface 20.0 Speed (m/s) Height Above Earth s Surface (m) a) Mark an appropriate scale on the axis labeled Height Above the Earth s Surface (m). b) Plot the data points for speed versus height above the Earth s surface. c) Draw the line or curve of best fit. d) Using your graph, determine the speed of the mass after it has fallen a vertical distance of 12.5 meters.

4 GRAPH #4 Gravitational Potential Energy vs. Vertical Height Gravitational Potential Energy (J) Vertical Height (m) a) Based on the graph, what is the gravitational potential energy of the object when it is 2.25 meters above the surface of the Earth? b) Using the graph, calculate the mass of the object. [Show all work, including the equation and substitution with units.] c) What physical quantity does the slope of the graph represent? d) Sketch a graph showing the relationship between gravitational potential energy and vertical height for an object having a greater mass.

5 GRAPH #5 In a physics lab, a student used the circuit shown to measure the current through and the potential drop across a resistor of unknown resistance, R. The instructor told the student to use the switch to operate the circuit only long enough to take each reading. The student s measurements are recorded in the data table. measurements are recorded in the data table. V R A Switch Variable voltage source Current (A) Potential Drop (V) Potential Drop vs. Current Potential Drop (V) Current (A) a) Mark an appropriate scale on the axis labeled Potential Drop (V). b) Plot the data points for potential drop versus current. c) Draw the line of best fit. d) Calculate the slope of the line or curve of best fit. [Show all work, including the equation and substitution with units.]

6 GRAPH #6 In a laboratory exercise, a student kept the mass and amplitude of the swing of a simple pendulum constant. The length of the pendulum was increased and the period of the pendulum was measured. The student recorded the data in the table below. Length (meters) Period (seconds) Period vs. Length of Pendulum a) Label each axis with the appropriate physical quantity and unit. Mark an appropriate scale on each axis. b) Plot the data points for period versus pendulum length. c) Draw the line or curve of best fit for the data graphed. d) Using your graph, determine the period of a pendulum whose length is 0.25 meter.