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A dwarf planet has a mass of 0.0026 times that of the Earth and a diameter on average 0.2 times that of the Earth. What is the escape velocity of the dwarf planet?

User Doublea
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1 Answer

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Final answer:

To calculate the escape velocity of the dwarf planet, we need to calculate its radius first using the formula for the volume and then use the escape velocity formula.

Step-by-step explanation:

The escape velocity of a celestial object can be calculated using the formula:

v = sqrt(2 * g * r)

where v is the escape velocity, g is the acceleration due to gravity, and r is the radius of the planet.

Given that the dwarf planet has a mass of 0.0026 times that of the Earth and a diameter on average 0.2 times that of the Earth, we need to calculate its radius first using the formula for the volume:

V = (4/3) * π * r^3

Let's assume the radius of the Earth is R. The radius of the dwarf planet, r, can be calculated as:

r = (0.2 * R) / 2

The mass of the dwarf planet is given as 0.0026 times that of the Earth, so we can write:

M = (0.0026 * M_Earth)

Finally, we can substitute the values into the escape velocity formula to find the escape velocity of the dwarf planet.

User Daniel Arechiga
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