(Solved): Figure 1: Pendulum mallet struck by paintball to measure impulse from paintball gun An impulse mach ...

Figure 1: Pendulum mallet struck by paintball to measure impulse from paintball gun An impulse machine is being used to find safe parameters for a new paintball gun design. The paintball is shot at a pendulum which absorbs the paint and swings upward to an angle $?$ where the height reached is $h=L(1?\cos ?)$ and $L=0.6\mathrm{m}$. The paintball has mass $m=3\mathrm{g}$ and the impulse machine pendulum has a mass of $M=600\mathrm{g}$. 1. What is the change in speed before and after impact for the paintball? 2. If the paintball and pendulum move upwards $h=0.01\mathrm{m}$, how fast was the paint ball moving before impact? 3. What was the impulse, $F?t$, that a person would feel from this paintball?