(a) Define stable equilibrium as applied to a rigid body.

(b) Sketch a block and tackle system of pulleys with a velocity ratio of 3.

(c) At the beginning of a race, a tyre of volume 8.0 x 10\(^{-4}\) at 20°C-has a gas pressure of 4.5 x 10\(^5\) Pa. Calculate the temperature of the gas in the tyre at the end of the race if the pressure has risen to 4.6 x 1 0\(^5\) Pa.

(d)(i)

	Ice point 273k	373k Steam point
Resistance/\(\Omega\)	5.67	7.75
Pressure/Pa	7.13 x 10\(^4\)	9.74 x 10\(^4\)

The table above shows readings of the resistance and pressure of a platinum resistance thermometer and a constant-volume gas thermometer respectively, when immersed in the same liquid bath. Use this data to determine the temperature of the bath on the: (\(\alpha\)) resistance thermometer; (\(\beta\)) gas thermometer

(ii) By what percentage is the temperature measured on the platinum resistance thermometer in error?