Ashot-putter puts a shot (weight=71.1n) that leaves his hand at adistance of 1.52m above the ground. (a) find the work done by thegravitational force when the shot has risen to a height of 2.13mabove the ground. (b) determine the change(δpe=pefinal-peinitial) in the gravitationalpotential energy of the shot.

need with b

Athin electrical heater is inserted between a long circular rod and a concentric tube with inner and outer radii of 20 and 40 mm. the rod (a) has a thermal conductivity of ka = 0.15 w/(m*k), while the tube (b) has a thermal conductivity of kb = 0.8 w/(m*k) and its outer surface is subjected to convection with a fluid of temperature t= -15°c and heat transfer coefficient 60 w/(m2 *k). the thermal contact resistance between the cylinder surfaces and the heater is negligible. (a) determine the electrical power per unit length of the cylinders (w/m) that is required to maintain the outer surface of cylinder b at 15°c. (b) what is the temperature at the center of cylinder a?