Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is $2.75 \cdot 10^{- 12}$ $2.75 * 10^-12$ N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?

Question

Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is $2.75 \cdot 10^{- 12}$ $2.75 * 10^-12$ N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?

1 Answer

Impact of this question

10790 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-21T11:46:01

$m = \sqrt{2.75 \times 10^{- 12} \cdot \frac{{2.6}^{2}}{2 G}}$ $m= sqrt(2.75xx10^-12 * 2.6^2/(2G)$

Explanation:

Two bodies of mass $m_{1}$ $m_1$ and $m_{2}$ $m_2$ are attracted to one another according to the law of a gravitational force:
(1) $” “F = G (m_1m_2)/r^2$
We also know $F=2.75xx10^-12$
Thus, $F=2.75xx10^-12 = G (m_1m_2)/r^2$
substitute what is given:
$m_1 = m; m=2m; r = 2.6 m$
$2.75xx10^-12 = G (2m^2)/(2.6)^2$
$m= sqrt(2.75xx10^-12 * 2.6^2/(2G)$

Science

Math

Humanities

... and beyond

Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is $2.75 \cdot 10^{- 12}$ $2.75 * 10^-12$ N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is 2.75 * 10^-122.75⋅10−122.75 * 10^-12 N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?

1 Answer

Explanation:

Related questions

Impact of this question

Two spheres are placed so that their centers are 2.6 m apart. The force between the two spheres is $2.75 \cdot 10^{- 12}$ $2.75 * 10^-12$ N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?