5. If all objects have gravitational force between them, why wouldn't you feel the force of gravitation between your chair and your body?
Question
If all objects have gravitational force between them, why wouldn't you feel the force of gravitation between your chair and your body?
Solution
While it's true that all objects exert a gravitational force on each other, the strength of this force is dependent on the mass of the objects and the distance between them. The formula for gravitational force is F = G * (m1*m2)/r^2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the centers of the two objects.
The gravitational constant, G, is a very small number, approximately 6.674 * 10^-11 N(m/kg)^2. This means that the gravitational force between everyday objects, like your body and a chair, is extremely small.
For example, let's say your body has a mass of 70 kg and the chair has a mass of 10 kg. If the distance between the centers of your body and the chair is 1 meter, the gravitational force between them would be F = 6.674 * 10^-11 * (70*10)/1^2 = 4.6718 * 10^-9 N. This force is so small that you wouldn't be able to feel it.
In contrast, the Earth has a mass of approximately 5.972 * 10^24 kg. The gravitational force between your body and the Earth is F = 6.674 * 10^-11 * (70*5.972 * 10^24)/6371000^2 = 686.75 N. This is the weight of your body, and it's a force you can definitely feel.
So, while the chair does exert a gravitational force on your body, it's so small compared to the force exerted by the Earth that you don't notice it.
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