# Force and Motion

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HOMEWORK FOR UNIT 5-1: FORCE AND MOTION
1.
You are given ten identical springs. Describe how you would develop a scale of force (ie., a means of producing repeatable forces of a variety of sizes) using these springs. Decide on an extension length of the spring for which one spring extended by this length exerts one unit of force on the object to which it is attached. Two springs both connected to the object, pulling in parallel and both extended by this length would exert two units of force and so forth up to 10 units of force for 10 springs, extended by the standard length, all connected to the object and all pulling in the same direction.

2. Describe how you would use a force probe and the springs in (1) to develop a quantitative scale of force. Connect the springs to the hook on the force probe. Use these springs to calibrate the probe. One spring stretched to the predetermined length would correspond to 1 unit during the calibration procedure, 5 springs, in parallel pulled o the standard length would be entered as 5 units. The force probe should then be calibrated quantitatively to measure any force within its range in terms of the spring units.
3.
What is meant by a proportional relationship? Is this the same as a linear relationship? Explain. “proportional” means that the dependent variable is a constant multiple, either positive or negative, of the independent variable. “Linear”means that the dependent variable is a constant multiple of the independent variable plus or minus a constant offset.
4.
Given the table of data below for widgets and doodads, how would you determine if the relationship between widgets and doodads is a proportional one? Sketch on the axes on the right of the table what the graph would look like if widgets are proportional to doodads. Divide the number of widgets by the number...

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