What amount of energy is required for making 500 kg body escape from earth?
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Q) What amount of energy is required for making 500 kg body escape from earth?
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Answer:-
# Let E be the energy require to make the body escape earth
E = GmM/R
Where,
m is mass of object
M is mass of earth
R is radius of earth
G is gravitational constant
so,
= GmM/R × R/R = GmMR/R²
E = m × (GM/R) × R
(GM/R = g), 'g' = acceleration due to gravity ( taking as 10)
R= 6400 km (approx radius of earth)
m = 500g = 0.5kg (mass of object)
E = mgR
E = 0.5 × 10 × 6400
E = 32,000 joules
Hence, Energy needed for an object with mass 500g to escape earth is 32000 joules
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