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Anastasy [175]
3 years ago
14

A couple is sitting side-by-side. By what factor should the distance between them be changed by if the attractive force is to be

halved?
Physics
1 answer:
Elina [12.6K]3 years ago
7 0

Answer:

the distance should be changed by a factor of √2

Explanation:

The attractive force between the couples can be given by Newton's Law of Gravitation:

F =\frac{Gm_1m_2}{r^2}

where,

F = Attractive Force

G = Universal Gravitational Constant

m₁ = mass of the first person

m₂ = mass of the second person

r = distance between them

Now, if we want to halve the force without changing masses, hen:

F' = \frac{1}{2} F = \frac{1}{2} \frac{Gm_1m_2}{r^2}\\\\F' = \frac{1}{2} F = \frac{Gm_1m_2}{(\sqrt{2}r)^2}<u></u>

<u>Hence, it is clear that the distance should be changed by a factor of √2</u>

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