Preliminary Questions
1. When you push on an object, the magnitude of the force on the object directly affects it's motion. If you push harder on the object, it's motion is larger.
2. If we have a bowling ball, and a baseball each suspended from a different rope, and hit each ball with a full swing of a baseball bat, the ball that will have the greatest amount of change in it's motion will be the baseball. This is true because the baseball has a smaller mass than a bowling ball, giving the baseball a greater net force.
3. If we exert the same force on a mass that is now 2m, we would expect the resulting acceleration to be half as large, because mass and acceleration have an inverse relationship to each other, when it comes to Newton's Second Law of F = m*a.
Analysis
1. When comparing the graphs of Force vs. Time and Acceleration vs. Time (see attached graph#1), we see that both graphs have similar shapes, both force and acceleration follow in the same direction of each other.
2. We can see from both of the graphs produced from our experiment, that Force and Acceleration are directly proportional to each other. The graphs for Force vs. Time, and Acceleration vs. Time, are nearly identical to one another. If the Force on one graph increase, so does the acceleration on the acceleration vs. time graph.
3. The units of the slope of the force vs. acceleration graph are N/m/s2
4. In Trial One (Graph1) the slope of the regression line is 0.6751N/m/s2, in trial two (Graph2) the slope of the regression line is 1.145N/m/s2; The slope of the regression line represents the mass being accelerated.
5. A general equation that relates force, mass and acceleration can be written as F= m
Extension
Finding the unknown mass of an object, determined by the acceleration of a known force. See Attached Graph 3. y=mx+b m= 0.7698N/m/s2 b= -0.7082N mass of cart w/sensors= 698kg **given in Trial 1. actual measured weight of unknown