You propose to climb several flights of stairs to work off the energy you took in by eating a 900 calorie hot fudge sundae. How high must you climb? Assume that your mass is 60.0 kg.

Let W = (2.70 ✕ 105 J) ln(Vf /Vi). Solve for the unknown quantity in each of the following cases:   (a) the final volume Vf is three times the initial volume Vi  W= ______Joules (b) the initial volume is 1.00 m3 and the work W is 3.25 ✕ 105 J Vf =  ______ m3

An asteroid made out of iron (7860 kg/m3) strikes the Earth in an areawhere the oceans are very deep. The velocity of the asteroid upon impact isthe same for most debris hitting the Earth’s atmosphere, 30 km/s.The difference in potential energy from orbit to ground is negligible at thisspeed. Assuming that 80% of the asteroid’s kinetic energy is transferred toheating the water, what volume of water (assuming a density of 1000 kg/m3)will be vaporized? We will assume that the water is taken from 70o F tothe point that it becomes steam. Also, assume that the asteriod is spherical,with a radius of 750 m.

For this problem, let’s apply thermodynamics to elastic materials (e.g., rubberbands). The tension force f exerted by a rubber band depends on both the temperature T and the stretching displacement L. What is the work associated with stretching or contracting a rubber band? [Hint: Recall the definition of work used in physics.]