Question

Please help me with this Physics question if you can!

Answer 1

C)

Step-by-step explanation

the weigth of a mass is given by the formula

`\begin{gathered} \text{Weigth(w)}=\text{mass(m)}\cdot(\text{acceleration due to gravity)(g)} \\ w=mg \end{gathered}`

we already now, that the acceletion of gravity is bigger in the earth than in the moon ( because it depens on the mass, and the earth has very more mass than the moon)

so, for the moon we have

`\begin{gathered} w_m=m_m\cdot g_m \\ \text{isolate m}_m \\ m_m=(w_m)/(g_m) \end{gathered}`

now, when the mass in in the earth

`\begin{gathered} w_e=m_e\cdot g_e \\ m_e=(w_e)/(g_e) \end{gathered}`

now, if we compare the masses ,equal ratios

`\begin{gathered} m_m?m_e \\ (w_m)/(g_m)=(w_e)/(g_e) \end{gathered}`

we can see a ration of the weigth and g, as w depens on g, we can replace

`\begin{gathered} (m_m\cdot g_m)/(g_m)=(m_e\cdot g_e)/(g_e) \\ m_m=m_e \end{gathered}`

we can conclude mass is the amount of matter in an object and does not change with location

If an object is moved to a location of greater gravitational force, , its weight will increase, but mass still remains the same.

so, the answer is

`C)m_m=m_e`

I hope this helps you