A rocket is fired vertically from the surface of the earth with a speed v How far from the earth does the rocket go before returning to the earth?
(where 
is the radius of the earth and g is acceleration due to gravity)
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
Let the rocket reaches a height h form the surface of earth.
Total energy at the surface of the earth is
Where m and 
are the masses of rocket and earth respectively.
At highest point, the velocity of the rocket becomes zero.
Total energy at the highest point is
According to law of conservation of energy,
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