A potato cannon is used to launch a potato on a frozen lake, as in Problem 7.101. All quantities are the same as in that problem, except the potato has a large diameter and is very rough, causing friction between the cannon barrel and the potato. The rough potato leaves the cannon's muzzle moving horizontally to the right at a speed of vp = 165 m/s. Neglect the effects of the potato spinning.
a) What are the direction and magnitude of the cannon's velocity, vc, after the rough potato leaves the muzzle?
b) What is the total mechanical energy (potential and kinetic) of the potato/cannon system before and after the firing of the potato?
c) What is the work, Wf, done by the force of friction on the rough potato?
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