How Does Doubling Mass and Reducing Distance Affect Gravitational Force?

AI Thread Summary
Doubling the mass of an object while reducing the distance from the center of the Earth to one-fourth increases the gravitational force significantly. Using the gravitational force equation F=G(M_em_1/r^2), the calculated force becomes 28800N. This result confirms the application of proportionalities in gravitational force calculations. The initial force of 900N is effectively multiplied due to the changes in mass and distance. Therefore, the solution is accurate.
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Homework Statement



Force of gravity on a spaceship is 900N. What is the force when mass is double and distance from Earth center is 1/4 as far?


The Attempt at a Solution



the answer i got was 28800N, but i just applied proportionalities apparent from in the equation F=G\frac{M_{e}m_1}{r^2} . Is it the right answer?
 
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