Gravitational Potential Energy of a Two Mass System
A particle is...
Question
A particle is fired vertically upwards with a speed of 9.8km/s. Find the maximum height attained by the particle. Radius of earth = 6400km and g at the surface = 9.8m/s2. Consider only earth’s gravitation.
A
50100km
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B
20900km
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C
43200km
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D
35200km
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Solution
The correct option is B20900km
Ei = PE + KE = −GMmR+mv202 Ef = −GMmR+h+0 From conservation of energy, Ei=Ef −GMmR+mv202=−GMmR+h −gR2R+(v0)22=−gR2R+h −gR+(v0)22=−gR2R+h If we substitute the values, g=9.8ms−2,v0=9.8ms−1,R=6400km h=20900km