Q1. A light rope passes over a light frictionless pulley. One end is fastened to a bunch of bananas of mass M, and a monkey of mass M clings to the other end. The monkey climbs the rope in an attempt to reach the bananas. Treating system as consisting of the monkey, banana, rope, and pulley, find net torque for the system about the pulley axis. Using the result of the part a determine the total angular momentum about the pulley axis and describe the motion of the system.

Q2. Throughout three hours one winter afternoon, when outside temperature was 9° C, a house heated by electricity was kept at 21° C with the expenditure of 46kwh (kilowatt•hours) of electric energy.

(a) What was the average energy leakage in joules per second (watts) through the walls of the house to the environment (the outside air and ground)?

(b) The rate at which energy is transferred between two systems by reason of a temperature difference is often proportional to their temperature difference. Assume this to hold in this case, if the house temperature had been kept at 24°C (75.2° F), how many kwh of electricity would have been consumed?