Solved Examples on Force of Gravity
Example 1: Consider two planets with masses of 6 × 1024 kg and 5 × 1023 kg, respectively separated by a distance of 2 × 108 m. Calculate the force of gravity between them.
Solution:
Using Newton’s law of universal gravitation, we can calculate the force of gravity between them [Tex]F = G \times \frac{m_1 \times m_2}{r^2}[/Tex].
[Tex]F = (6.674 \times10^{-11}) \times \frac{(6\times10^{24}) \times (5\times10^{23})}{(2\times10^8)^2}[/Tex]
F ≈ 3.34 × 1016 N
Example 2: Suppose we have two objects with masses of 10kg and 5kg, respectively, separated by a distance of 2m. Calculate the force of Gravity between both Objects.
Solution:
Using Newton’s law of universal gravitation, we can calculate the force of gravity between them [Tex]F = G \times \frac{m_1 \times m_2}{r^2}[/Tex].
[Tex]F = (6.674 \times10^{-11}) \times \frac{(10) \times (5)}{(2^2)}[/Tex]
F ≈ 6.674 × 10−11 × 125
F ≈ 8.34 × 10-9 N
How to Calculate Force of Gravity
Force of gravity is one of the most fundamental concepts in physics, governing the motion of objects in the universe. Understanding how to calculate the force of gravity is crucial for a wide range of applications, from predicting the motion of celestial bodies to designing structures here on Earth. In this article, we’ll explore the principles behind the force of gravity and learn how to calculate it in various scenarios.
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