Question

How do we do these questions can you help me

Answer 1

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:

`\begin{gathered} F_A=(Gm_Am_(earth))/(r^2)=(G*1*m_(earth))/(r^2) \\ \\ F_B=(Gm_Bm_(earth))/(r^2)=(G*2*m_(earth))/(r^2) \end{gathered}`

Divide gravitational force of B by gravitational force of A.

We have:

`\begin{gathered} (F_B)/(F_A)=((G*2*m_(earth))/(r^2))/((G*1*m_(earth))/(r^2)) \\ \\ (F_B)/(F_A)=(2)/(1)=2 \end{gathered}`

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.