(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 point273k	373kSteam point
Resistance/$\mathrm{\Omega }$	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?


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