Given:
Mass of block A = 1 kg
Mass of block B = 2 kg
Let's select the statement which best describes the relative magnitudes of the gravitational force.
Gravitational force is directly proportional to the mass of a object.
Since the gravitational force is directly proportional to the mass, as mass increases the gravitational force will also increase.
Now, apply the formula:
[tex]\begin{gathered} F_A=\frac{Gm_Am_{earth}}{r^2}=\frac{G*1*m_{earth}}{r^2} \\ \\ F_B=\frac{Gm_Bm_{earth}}{r^2}=\frac{G*2*m_{earth}}{r^2} \end{gathered}[/tex]
Divide gravitational force of B by gravitational force of A.
We have:
[tex]\begin{gathered} \frac{F_B}{F_A}=\frac{\frac{G*2*m_{earth}}{r^2}}{\frac{G*1*m_{earth}}{r^2}} \\ \\ \frac{F_B}{F_A}=\frac{2}{1}=2 \end{gathered}[/tex]
Therefore, the force on block B is twice as much as the force on block A.
ANSWER:
The gravitational force on Block B is twice as much as the gravitational force on block A.
