{ Problem 1} What are the linear sizes of the following objects (in meters)? Earth cell atom { Problem 2} What are the velocities (in m/s) of: the speed of light a snail at full speed An automobile on the highway Part II: estimation State all of your assumptions clearly and show your reasoning. Do four of the following six problems. { Problem 1} How long will it take human respiration to use up 10% of the atmosphere's oxygen, ignoring all other contributions? { Problem 2} How many cows are slaughtered daily so Americans can eat beef? { Problem 3} How much energy is needed to get a spaceship from Earth to Alpha Centauri (the nearest star, about 4 light-years away) before the passengers die of old age? The spaceship should finish its trip at rest. How much fuel will this take (assuming 10^{15} J/megaton of TNT)? { Problem 4} How much energy of all kinds does the US use each year? How does this compare to the food energy consumed by Americans? { Problem 5} How many pencils would it take to draw a line the length of the Equator? { Problem 6} a) A steel ball is dropped from a height of 3 m onto a concrete floor. It bounces a large number of times but eventually comes to rest. Estimate the ball's rise in temperature. (b) Suppose a nickel-iron meteor falls to the earth from deep space. Estimate how much its temperature would rise on impact.