The force of gravitation between two objects each of mass 2 kg is 1 N.
The distance between them is
[Symbols have usual meaning]
Share
The force of gravitation between two objects each of mass 2 kg is 1 N.
The distance between them is
[Symbols have usual meaning]
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Explanation:
[tex]F = \frac{GM _{1} M_{2} }{r {}^{2} } [/tex]
[tex]1 = \frac{G \times 2 \times 2}{r {}^{2} }[/tex]
thus
[tex]r = 4 \sqrt{G} \: m[/tex]
for further simplification use
G = (6.674 × 10^-11) m^3kg^-1s^-2
Answer:
The distance between the two objects will be equal to [tex]1.63*10^{-5}m[/tex].
Explanation:
The force between two objects [tex]F=1N[/tex]
mass of objects, [tex]m_{1}=2Kg[/tex] and [tex]m_{2}=2kg[/tex]
Consider that [tex]r[/tex] is the distance between these two objects
By using the universal law of gravitation:
[tex]F=\frac{Gm_{1}m_{2}}{r^{2}}[/tex] where [tex]G=6.67*10^{-11}Nm^{2}kg^{-2}[/tex]
Put the values of [tex]m_{1},m_{2}[/tex] and [tex]F[/tex] in eq.(1),
[tex]1N=\frac{(6.67*10^{-11}Nm^{2}kg^{-2})(2kg)(2kg)}{r^{2}}[/tex]
[tex]r^{2}=6.67*10^{-11}*4m^{2}[/tex]
[tex]r=\sqrt{2.668*10^{-10}m^{2}}[/tex]
[tex]r=1.63*10^{-5}m[/tex]
Therefore the value of r is 1.6×10⁻⁵m.