To find the diameter d2, we can use the formula for the force between two masses using Newton's law of universal gravitation:
F = G (m1 m2) / r^2
where: F = force between the two masses G = gravitational constant (6.674 x 10^-11 N*m^2/kg^2) m1, m2 = masses of the two objects r = distance between the centers of the two objects
Given: F1 = 120 N d1 = 80 cm = 0.8 m F2 = 280 N
We can set up a ratio of the forces and distances to find the diameter d2:
(120 / 280) = (1 / d2^2)
(1 / d2^2) * 280 = 120
280 / d2^2 = 120
d2^2 = 280 / 120
d2^2 = 2.33
d2 = √2.33 ≈ 1.52 m
Thus, the diameter d2 is approximately 1.52 meters.
To find the diameter d2, we can use the formula for the force between two masses using Newton's law of universal gravitation:
F = G (m1 m2) / r^2
where:
F = force between the two masses
G = gravitational constant (6.674 x 10^-11 N*m^2/kg^2)
m1, m2 = masses of the two objects
r = distance between the centers of the two objects
Given:
F1 = 120 N
d1 = 80 cm = 0.8 m
F2 = 280 N
We can set up a ratio of the forces and distances to find the diameter d2:
(120 / 280) = (1 / d2^2)
(1 / d2^2) * 280 = 120
280 / d2^2 = 120
d2^2 = 280 / 120
d2^2 = 2.33
d2 = √2.33 ≈ 1.52 m
Thus, the diameter d2 is approximately 1.52 meters.