Question

If the Earth were made of wood, the mass
of wooden Earth would have been 10%
as much as it is now (without change in
its diameter). Calculate escape speed
from the surface of this Earth.​

Answer 1

mass of wooden earth , M' = M + 10% of M = M + 10M/100 = 1.1M

we know, escape velocity from the earth is given as $v=\sqrt{\frac{2GM_e}{R_e}}$

where Me is mass of earth and Re is radius of the earth.

as diameter of wooden earth remains constant. so, Re' = Re

now, escape velocity from the wooden earth, v = √{2G(1.1M)/R}

= √{2.2GM/R}

= √(1.1) × √{2GM/R}

= √(1.1) × 11.2 km/s [ as we know escape velocity from the earth is 11.2 km/s ]

= 11.746 km/s

Answer 2

Hey here's your answer

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