Calculate the force of mutual attraction between two bodies whose masses are 2700kg and 3600kg
June 24, 2021 | education
| Calculate the force of mutual attraction between two bodies whose masses are 2700kg and 3600kg, located at a distance of 90m from each other.
Given:
m1 = 2700 kilograms – the mass of the first body;
m2 = 3600 kilograms – the mass of the second body;
R = 90 meters – distance between bodies;
G = 6.67 * 10 ^ -11 N * m ^ 2 / kg ^ 2 – gravitational constant.
It is required to determine the force of gravitational attraction between bodies F (Newton).
F = G * m1 * m2 / R ^ 2 = 6.67 * 10 ^ -11 * 3600 * 2700/90 ^ 2 =
= 24012 * 2700 * 10 ^ -11 / 8100 = 6.5 * 10 ^ 7 * 10 ^ -11 / 8100 =
= 6.5 * 10 ^ -4 / 8100 = 0.0008 * 10 ^ -4 = 8 * 10 ^ -8 Newton.
Answer: the force of attraction between bodies is 8 * 10 ^ -8 Newton.
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