Physics
A stone floor feels cold to the bare feet but a carpet on the same floor feels warm. This is because

The human body maintains a constant temperature
The carpet is a better conductor of heat than the stone
The stone conveys the heat away from the feet more rapidly than the carpet
The floor and carpet are at different temperatures

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

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

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