Answer Happy

In an experiment to measure the heat capacity of a substance illustrated in the figure, a nylon string is wrapped around a cylinder of the substance with diameter d 47 ± 0.5 mm. A large mass M = 5 +0.005 kg is hung off one end of the string. The handle is turned such that the mass is maintained at a specific height off the ground while the nylon string slips over the surface of the cylinder. If the temperature of the cylinder is initially at To and the handle is turned n times to yield a temperature 7' then it is found that Mgnd T= -n + To, me Large Mass where c is the specific heat capacity of the cylinder, m = 215+5 g is the mass of the cylinder, and g 9.8± 0.05 m/s² is the acceleration due to gravity. The slope of the graph T versus n is s= Mand, and it is measured to be 38.5±2 mK. 5kg (i) Calculate the best estimate of c for the cylinder. (ii) Given the uncertainties AM, Ag, Ad, Am, and As determine an expression for the uncertainty Ac. (iii) Use this expression to calculate the estimated uncertainty Ac. (iv) What quantity provides the largest contribution of uncertainty to Ac? Thermometer Nylon String Small Mass