Question

Need HELP ASAP!!!!!!

Answer 1

The variation equation is

`f = \frac{k.m_1.m_2}{ {r}^(2) }`

Explanation:

From the question, the two masses are

`m_1 \: and \: m_2`

This implies that the product of the two masses

`= m_1 * m_2 = m_1.m_2`

Moreover, the force,f varies directly with the products of the two masses

`\implies \: f\propto m_1.m_2....eqn.1`

Also, the force varies inversely with the square of the distance,r

`\implies \: f\propto \frac{1}{ {r}^(2) }.......eqn.2`

Joining equation 1 and 2, we got

`\implies \: f\propto \frac{1}{ {r}^(2)} * m_1.m_2`

`\implies \: f \propto\frac{m_1.m_2}{ {r}^(2)}`

But the constant of variation is k

Multiplying the right hand side of the equation by k, we got

`\implies \:f=\frac{k.m_1.m_2}{ {r}^(2)}`