A 106 kg man is traveling through the snow. He finds that when he wears only his boots, the sole of each of which has an area of 136 cm2, he sinks into the snow up to his calves. Figuring that he will never get to Grandma's house this way, he dons his snowshoes, made of a lightweight flat material with no holes. Each snowshoe can be modeled as a rectangle, 37.0 cm wide and 115 cm long, with a half-circle added to the front and the back as a "toe" and a "heel."
(a) What pressure does the man exert on the frozen crust of the snow when he puts his entire weight on one booted foot?
(b) What pressure does the man exert when he puts his weight on one snowshoe?