As seen on the diagram below a large beetle of mass 0.0016 kg is placed on an air hockey puck of mass 0.0048 kg on an air hockey table which supports the beetle/puck with a cusion of air (no friction). Consider the beetle to be a point mass that starts on the left side of the puck and walks the full length of the puck to the right side.
Before beetle walks
After beetle walks
a) If the puck has a length of 0.085 m, and if we treat the beetle as a point particle, what is the position of the center mass of the system made up of the puck and the beetle, the instant the beetle started moving relative to the position of the beetle at that time?
$x_{cm}$ = ____
b) What is the position of the center mass of the system made up of the puck and the beetle, the instant the beetle reaches the other end of the puck?
$x_{cm}$ = ____
c) What is then the displacement of the puck?
$\Delta x_p$ = ____
d) If from the beetles perspective the beetle walks with an average velocity of 0.0017 m/s across the puck then What is the velocity of the center of mass relative to the ground?
$v_{puck}$ = ____
e) How long did it take the beetle to make the trip across the puck?
$t_{beetle}$ = ____
f) What was then the average velocity of the puck to ground?
$v_{puck}$ = ____
