Estimate the thickness of the Earth's atmosphere. From your chemistry class, you know that the most common speed of a nitrogen molecule is 650 m/s. The molecules' velocity is pointed along random directions, but some molecules head straight up; i. e. directly away from the Earth's center.

Explanation:

Given:

Velocity, v = 650 m/s

The initial kinetic energy and the initial potential energy, choosing to measure that relative to ground level, is zero.

Therefore, Using conservation of mechanical energy,

Potential energy = kinetic energy

M × g × h = 1/2 × M × v^2

h = (2 ×650^2)/9.8

= 86224.5 m

= 86.225 km.

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