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Question

A body is projected from the ground vertically upwards with a speed of 4 km/s. How high will it rise ? Neglect air resistance. (Radius of the earth = 6400 km, Acceleration due to gravity =9.8m/s2

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Solution

Decrease in kinetic energy=increase in gravitational potential energy of particle
12mv2=mgh1+hR
h=v22gv2R
=(4.0×103)22×9.8(4.0×103)26.4×106
=9.35×105m
we get, h=935km

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