Question
In the image below, which objects would have a greater gravitational force between them, Objects A and B, or Objects B and C? Give one supporting detail for your answer. Three circles labeled Object A, Object B, and Object C. A is on the left, B is in the center and C is on the right. A and C are each the same distance away from B. A has a mass of 10 kg, B has a mass of 30 kg, and C has a mass of 30 kg.
Answer
Objects B and C have a greater gravitational force between them than Objects A and B. The gravitational force between B and C is 6.00715 x 10^-9 N, which is greater than the gravitational force between A and B of 2.00229 x 10^-9 N.
- Q: What is the formula for calculating gravitational force between two objects? A: The formula is F = G * ((m1 * m2) / r^2), where F is the gravitational force, G is the gravitational constant (6.67430 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the objects.
- Q: What is the distance between A and B and between B and C? A: The distances are the same since A and C are equidistant from B.
- Q: What is the gravitational force between objects A and B? A: FAB = G * ((m1 * m2) / r^2) = (6.67430 x 10^-11) * ((10 kg * 30 kg) / (1 m)^2) = 2.00229 x 10^-9 N.
- Q: What is the gravitational force between objects B and C? A: FBC = G * ((m1 * m2) / r^2) = (6.67430 x 10^-11) * ((30 kg * 30 kg) / (1 m)^2) = 6.00715 x 10^-9 N.