An exoplanet has four times the mass and one-fourth the radius of the earth. find the acceleration due to gravity on its surface, in terms of g, the acceleration of gravity at earth's surface.

Question

Physics

Kali Benitez

23 May, 02:53

An exoplanet has four times the mass and one-fourth the radius of the earth. find the acceleration due to gravity on its surface, in terms of g, the acceleration of gravity at earth's surface.

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Dalia Dillon · Answer 1

The formula for acceleration due to gravity can be calculated using the formula:

g = G m / r^2

where g is gravity, G is gravitational constant, m is mass, r is radius

So we can see that if we increase m by 4, so g also increase by 4. But if the radius is decreased to ¼, therefore the gravity will be divided by (1/4) ^2. So:

4 / (1/4) ^2 = 64

So the gravity on the surface will be:

64 g

(64 times that of Earth’s gravity)