the gravitational force of attraction between stone weighing 2 kg and the earth weighing 6×10^24 kg is 19.6 newtons. what will be the acceleration produced in the earth?
Answers
Concept:
The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of the distance between them, according to Newton's universal law of gravitation. We need to utilize the formula of force, F = ma
Given:
Mass of stone = 2 kg
Mass of earth = 6 × 10²⁴ kg
Gravitational force of attraction = 19.6 Newtons.
Find:
We need to determine the acceleration produced on the earth.
Solution:
According to Newton's second law, an object's acceleration depends on its mass and net force, therefore
Force is equal to earth's mass times its accelerating speed.
The mathematical expression is as- F = mass of earth × acceleration ---- 1
We have, mass, the mass of the earth = 6 × 10²⁴ kg
While the gravitational force of attraction is 19.6 N
Therefore, equation 1 becomes-
F = ma
19.6 = 6 × 10²⁴ × a
Therefore, a = 19.6 / 6 × 10²⁴
a = 3.266 × 10⁻²⁴ m/s²
Thus, the acceleration produced on the earth will be 3.266 × 10⁻²⁴ m/s²
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