(5) If the mass of a planet is eight times the mass of the earth and i

1.	(5) If the mass of a planet is eight times the mass of the earth and its radius istwice the radlus of the earth, what will be the escape velocity for thatplanet?
Answer» Planet mass is 8 times that earthPlanet radius is twice then the radius of earth.Let mass of the Earth = MRadius of the Earth = R Now, we know that The equation to get escape velocity v = √(2 g r)v=√2GM/R If the mass of planet is eight times then escape velocity = 2 √2 times. Escape velocity reduced to by 1/√2. If radius expands twiceHence the net escape velocity will be increase. 2 √2 × (1/√2)= 2 times now.Now it is clear that the escape velocity of that planet will be 2 times from the earth. Escape velocity of the earth = 11.2 km/sEscape velocity of that planet = 2× 11.2= 22.4 km/sec.

(5) If the mass of a planet is eight times the mass of the earth and its radius istwice the radlus of the earth, what will be the escape velocity for thatplanet?

Answer»

Planet mass is 8 times that earthPlanet radius is twice then the radius of earth.Let mass of the Earth = MRadius of the Earth = R

Now, we know that The equation to get escape velocity

v = √(2 g r)v=√2GM/R

If the mass of planet is eight times then escape velocity = 2 √2 times.

Escape velocity reduced to by 1/√2. If radius expands twiceHence the net escape velocity will be increase.

2 √2 × (1/√2)= 2 times now.Now it is clear that the escape velocity of that planet will be 2 times from the earth.

Escape velocity of the earth = 11.2 km/sEscape velocity of that planet = 2× 11.2= 22.4 km/sec.

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