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Reika [66]
3 years ago
7

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 th

e probe is 655 kilograms.
Physics
2 answers:
kupik [55]3 years ago
7 0

Answer:

The radius of the probe from the center of Venus is 9.08\times10^{6}\ m.

Explanation:

Given that,

Gravitational forceF_{g} =  2.58\times10^{3}\ N

Mass of Venus M= 4.87\times10^{24}\ kg

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

F_{g}=\dfrac{GmM}{r^2}

Put the value into the formula

2.58\times10^{3}=\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{r^2}

r^2=\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{2.58\times10^{3}}

r=\sqrt{\dfrac{6.67\times10^{-11}\times655\times4.87\times10^{24}}{2.58\times10^{3}}}

r=9.08\times10^{6}\ m

Hence, The radius of the probe from the center of Venus is 9.08\times10^{6}\ m.

Westkost [7]3 years ago
3 0
<h3>The correct answer is:</h3><h2>9.08 x 10⁶ meters.</h2><h2 /><h3>Explanation:</h3>

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


<h2>r = 9.08 x 10⁶ meters.</h2>
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