Question1
Using a simply pulley or rope system, a crewman on an Arctic expedition is trying to lower a 6.30 kg crate to the bottom of a steep ravine of height 23.4 meters. The 45.0 kg crewman is being careful to lower the crate at a constant speed of 1.50 m/s. unfortunately, while the crate reaches a point 13.0 meters above ground, the crewman slips and the crate immediately accelerates toward the ground, dragging hapless crewman across the ice and toward the edge of the cliff. If we suppose ice is perfectly slick (that is, no friction between the crewman and the ice once he slips and falls down), at what speed will the crate hit ground? Suppose also that the rope is long sufficient to allow the crate to hit the ground before the crewman slides over the side of the cliff.
Question2
A large uninsulated home may want 1.1 million Btu of heat energy from furnace on a cold winter day. What is price in dollars to heat this house for that day with natural gas, assuming 60 percent furnace efficiency (do not enter a dollar sign. such as if the price is 17 dollars and 25 cents, enter 17.25) (Think a little about your answer - what's a winter heating bill look like for owners?)