Gravity of the Earth if its mass were doubled

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If the Earth's mass were doubled and its radius halved, the gravitational force at the surface would increase significantly. The gravitational force can be calculated using the formula F = G(m1*m2)/r^2, where G is the gravitational constant, m1 is the mass of the Earth, and r is the radius. Doubling the mass and halving the radius results in an increase in gravity by a factor of 8, leading to a stronger gravitational pull. Additionally, this scenario implies a density increase by a factor of 16, raising questions about the materials needed to form such a planet. Understanding these changes helps in exploring the implications of altered planetary conditions.
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What would be the value of gravity on the surface of the Earth if its mass was twice as large and its radius half of what it is now?
 
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Albert einstine said:
What would be the value of gravity on the surface of the Earth if its mass was twice as large and its radius half of what it is now?
Welcome to the PF. :smile:

What have you found for the equation for gravitational force in your searching and reading so far? Also, is this a schoolwork question?
 
Your question leads to a density increase by a factor of 16, What would you use to make such a planet?
 
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