Two objects, with masses ${m}_{1}$ and ${m}_{2}$, attract each other with force $F$. If the mass of ${m}_{1}$ increased by a factor of two then the new gravitational force would be:

F/4

2 F

4 F

F/2

agrejas0hxpx
2022-05-10
Answered

Two objects, with masses ${m}_{1}$ and ${m}_{2}$, attract each other with force $F$. If the mass of ${m}_{1}$ increased by a factor of two then the new gravitational force would be:

F/4

2 F

4 F

F/2

You can still ask an expert for help

heilaritikermx

Answered 2022-05-11
Author has **20** answers

Step 1

Write the mathematical expression for the gravitational force between two masses.

$F=\frac{G{m}_{1}{m}_{2}}{{R}^{2}}$

Here,

The distance between the two objects is "R"

Write the mathematical expression for the gravitational force between two masses.

$F=\frac{G{m}_{1}{m}_{2}}{{R}^{2}}$

Here,

The distance between the two objects is "R"

hovudverkocym6

Answered 2022-05-12
Author has **1** answers

Step 2

When the mass increased by a factor of two.

Write the mathematical expression for the gravitational force between two masses.

${F}^{\prime}=\frac{G(2{m}_{1}){m}_{2}}{{R}^{2}}\phantom{\rule{0ex}{0ex}}=2(\frac{G{m}_{1}{m}_{2}}{{R}^{2}})\phantom{\rule{0ex}{0ex}}2F$

Hence, the new gravitational force becomes 2F

When the mass increased by a factor of two.

Write the mathematical expression for the gravitational force between two masses.

${F}^{\prime}=\frac{G(2{m}_{1}){m}_{2}}{{R}^{2}}\phantom{\rule{0ex}{0ex}}=2(\frac{G{m}_{1}{m}_{2}}{{R}^{2}})\phantom{\rule{0ex}{0ex}}2F$

Hence, the new gravitational force becomes 2F

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