A block of clay is suspended as part of a ballistic pendulum (see Example 8.7). You have a gun that uses compressed air to fire a small 5.00 g ball into the clay. As you change the pressure of the air used to fire the ball, you can adjust the speed of the ball as it emerges from the gun. You fire the ball into the clay at a series of known speeds and measure the height to which the clay rises after the ball embeds within it. Your data are shown in the table below:
Speed (m/s) | Height (mm) |
100 | 8.8 |
110 | 10.6 |
120 | 12.6 |
130 | 14.8 |
140 | 17.2 |
150 | 19.7 |
Make a plot of the square of the initial speed of the ball as a function of height. (Hint: Be sure to convert into SI units.) Using a linear “best-fit” to the data, determine the mass of the block of clay.
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