Respuesta :
The correct answer is:
9.08 x 10⁶ meters.
Explanation:
Fg = 2.58 x 10³ N
Mv = 4.87 x 10²⁴ Kg
Md = 655 Kg
So, Fg = G Mv Mp / r²
By putting in the values,
r² = 8.2466 x 10¹³
r = 9.08 x 10⁶ meters.
Answer:
The radius of the probe from the center of Venus is [tex]9.08\times10^{6}\ m[/tex].
Explanation:
Given that,
Gravitational force[tex]F_{g} = 2.58\times10^{3}\ N[/tex]
Mass of Venus [tex]M= 4.87\times10^{24}\ kg[/tex]
Mass of probe m= 655 kg
Suppose we find the radius of the probe from the center of Venus
We need to calculate the radius
Using gravitational force
[tex]F_{g}=\dfrac{GmM}{r^2}[/tex]
Put the value into the formula
[tex]2.58\times10^{3}=\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{r^2}[/tex]
[tex]r^2=\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{2.58\times10^{3}}[/tex]
[tex]r=\sqrt{\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{2.58\times10^{3}}}[/tex]
[tex]r=9.08\times10^{6}\ m[/tex]
Hence, The radius of the probe from the center of Venus is [tex]9.08\times10^{6}\ m[/tex].