Question

The gravitational force between two objects is 900N, when they are 10cm apart, what will be new force if they are 15cm apart?
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Answer 1

Answer:

400N

Explanation:

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Answer 2

$\checkmark$ Given:

The gravitational force between two objects is 900 N when they are 10 cm apart

$\checkmark$ To Find:

What will be new force if they are 15 cm apart

$\checkmark$ Solution:

We know that,

$\red{\implies \sf F \propto \dfrac{1}{R^{2}}}$

Hence,

$\orange{\sf \implies \dfrac{F_{1}}{F_{2}}=\dfrac{R_{2}^{2}}{R_{1}^{2}}}$

Here,

• F = Force
• R = Distance apart

According to the Question,

We are asked to find what will be new force if they are 15 cm apart

So, we must find " F₂ "

Given that,

The gravitational force between two objects is 900 N when they are 10 cm apart and what will be new force if they are 15cm apart

Hence,

• F₁ = 900 N
• R₁ = 10 cm
• R₂ = 15 cm

By substituting the values,

We get,

$\blue{\implies \sf \dfrac{900}{F_{2}}=\dfrac{15^{2}}{10^{2}}}$

$\green{\sf \implies F_{2}=\dfrac{900 \times 10^{2}}{15^{2}} \ N}$

$\red{\sf \implies F_{2}=\dfrac{90000}{225} \ N}$

$\pink{\sf \implies F_{2}=400 \ N}$

Therefore,

New force if they are 15 cm apart is 400 N