Physics
On a cold day when the room temperature is 15°C, the metallic cap of a pen becomes much colder than its plastic body, though both are at the same temperature of 15°C, because :

Metals have higher thermal capacity than plastics
Metals are good conductors of heat
Plastics have a higher thermal conductivity than metals
Plastics have a lower density than metals

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Physics
A cyclist leans inwards when he is negotiating a curve so that

He may increase his speed
Necessary centripetal force may be available from the horizontal component of the normal reaction due to the track to maintain the curved motion.
His weight may be reduced
No frictional force may be produced between the wheels and the axle

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