A 417 kg pig is standing at the top of a muddy hill on a rainy day. The hill is 100m long with a vertical drop of 37.4 m. If the pig slips and begins to slide down the hill, assuming a negligible amount of friction what will be the pigs speed at the bottom of the hill?

Question

A 417 kg pig is standing at the top of a muddy hill on a rainy day.  The hill is 100m long with a vertical drop of 37.4 m.  If the pig slips and begins to slide down the hill, assuming a negligible amount of friction what will be the pigs speed at the bottom of the hill?

drwls · Answer

Only the vertical drop H matters. The pig's mass and hill slope length don't matter. g*H = V^2/2 where V is the velocity at the bottom. Solve for V V = sqrt(2 g H)