A probe orbiting Venus exerts a gravitational force of 2.58 × 103 N on Venus. Venus has a mass of 4.87 × 1024 kg. The mass of the probe is 655 kilograms.

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].

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