Question

Can anyone help me out in my homework. I would love to talk about these problems ​

Answer 1

Step-by-step explanation:

(b) If $F_G = m_1g,$ then

$m_1g = G\dfrac{m_1m_2}{r^2}$

Note that $m_1$ cancel out so we get

$g = G\dfrac{m_2}{r^2}$

Solving for $m_2,$ we get

$m_2 = \dfrac{gr^2}{G}$

(c) I'm not sure what the problem is asking for but here goes. As r doubles, $F_G$ becomes

$F_G = G\dfrac{m_1m_2}{(2r)^2} = \dfrac{1}{4}\left(G\dfrac{m_1m_2}{r^2}\right)$