Question

Two spherical objects have masses of 2.5 x 107 kg and 7.5 x105 kg. Their centers are separated by a distance of 5200 m. Find the gravitationalattraction between them.

Answer 1

Given data

*The spherical object has a mass is m_1 = 2.5 × 10^7 kg

*The other spherical object has a mass is m_2 = 7.5 × 10^7 kg

*The separation distance between them is r = 5200 m

The formula for the gravitational attraction force between them is given as

`F=(Gm_1m_2)/(r^2)`

*Here G is the gravitational constant.

Substitute the known values in the above expression as

`\begin{gathered} F=((6.67*10^(-11))(2.5*10^7)(7.5*10^7))/((5200)^2) \\ =4.62*10^(-3)\text{ N} \end{gathered}`

Hence, the gravitational attraction force between them is F = 4.62 × 10^-3 N