Physics
A person can jump higher on the moon's surface than on the earth because :

The moon has no atmosphere
The acceleration due to gravity in moon is smaller than that on the earth.
The moon's surface is rough
The moon is cooler than earth

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

His weight may be reduced
No frictional force may be produced between the wheels and the axle
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.

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