In a physics lab experiment, you release a small steelball at various heights above the ground and measure the ball’s speedjust before it strikes the ground. You plot your data on a graph that hasthe release height (in meters) on the vertical axis and the square of thefinal speed (in m2/s2) on the horizontal axis. In this graph your datapoints lie close to a straight line. (a) Using g = 9.80 m/s2 and ignoringthe effect of air resistance, what is the numerical value of the slope ofthis straight line? (Include the correct units.) The presence of air resistancereduces the magnitude of the downward acceleration, and the effectof air resistance increases as the speed of the object increases. Yourepeat the experiment, but this time with a tennis ball as the object beingdropped. Air resistance now has a noticeable effect on the data. (b) Isthe final speed for a given release height higher than, lower than, or thesame as when you ignored air resistance? (c) Is the graph of the releaseheight versus the square of the final speed still a straight line? Sketchthe qualitative shape of the graph when air resistance is present.
In a physics lab experiment, you release a small steel
ball at various heights above the ground and measure the ball’s speed
just before it strikes the ground. You plot your data on a graph that has
the release height (in meters) on the vertical axis and the square of the
final speed (in m2/s2) on the horizontal axis. In this graph your data
points lie close to a straight line. (a) Using g = 9.80 m/s2 and ignoring
the effect of air resistance, what is the numerical value of the slope of
this straight line? (Include the correct units.) The presence of air resistance
reduces the magnitude of the downward acceleration, and the effect
of air resistance increases as the speed of the object increases. You
repeat the experiment, but this time with a tennis ball as the object being
dropped. Air resistance now has a noticeable effect on the data. (b) Is
the final speed for a given release height higher than, lower than, or the
same as when you ignored air resistance? (c) Is the graph of the release
height versus the square of the final speed still a straight line? Sketch
the qualitative shape of the graph when air resistance is present.
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