Question

Use the table of the masses of several several objects to answer the question
Between which two objects is gravitational attraction the greatest placed 1 m apart

Answer 1

To determine which two objects have the greatest gravitational attraction when placed 1 meter apart, we need to calculate the gravitational force between each pair of objects using the formula:

F = G * (m1 * m2) / r^2

where:
F = gravitational force
G = gravitational constant (approx. 6.674 x 10^-11 N*m^2/kg^2)
m1 and m2 = masses of the objects
r = distance between the objects (1 meter in this case)

Let's calculate the gravitational force between each pair of objects:

1. Object A(2 kg) and Object B(5 kg):
F_AB = (6.674 x 10^-11) * (2 * 5) / 1^2
F_AB = 6.674 x 10^-11 * 10 / 1
F_AB = 6.674 x 10^-11 * 10
F_AB = 6.674 x 10^-10 N

2. Object A(2 kg) and Object C(10 kg):
F_AC = (6.674 x 10^-11) * (2 * 10) / 1^2
F_AC = 6.674 x 10^-11 * 20 / 1
F_AC = 6.674 x 10^-11 * 20
F_AC = 1.3348 x 10^-9 N

3. Object B(5 kg) and Object C(10 kg):
F_BC = (6.674 x 10^-11) * (5 * 10) / 1^2
F_BC = 6.674 x 10^-11 * 50 / 1
F_BC = 6.674 x 10^-11 * 50
F_BC = 3.337 x 10^-9 N

Therefore, the greatest gravitational attraction is between Object B and Object C when placed 1 meter apart, with a force of approximately 3.337 x 10^-9 N.