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Calculate the magnitude of the acceleration of Io due to the gravitational force exerted by Jupiter. [Show all work, including the equation and substitution with units.]
ag = Fg
m

Sagot :

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The magnitude of the acceleration due to the gravitational force exerted by Jupiter is 25.91 m/s².

What is acceleration due to gravity?

  • This is the acceleration of a body under a free fall due to influence of gravity.

The magnitude of the acceleration due to the gravitational force exerted by Jupiter is calculated as follows;

[tex]F = mg = \frac{GmM}{R^2} \\\\g = \frac{GM}{R^2}[/tex]

where;

  • M is mass of Jupiter
  • R is the radius of Jupiter
  • G is universal constant

[tex]g = \frac{6.67 \times 10^{-11} \times 1.8986 \times 10^{27}}{(69,911 \times 10^3)^2} \\\\g = 25.91 \ m/s^2[/tex]

Thus, the magnitude of the acceleration due to the gravitational force exerted by Jupiter is 25.91 m/s².

Learn more about acceleration due to gravity here: https://brainly.com/question/88039

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