Amoon of mass 1 x 10" kg is in a circular orbit around a planet. the planet exerts a gravitational force of 2 x 104 n on the moon. the centripetal acceleration of the moon is most nearly

The centripetal acceleration of the moon is .

Explanation:

Given information:

Mass of the moon is

The gravitational force exerted by the planet on the moon is, .

Now, the moon is revolving around the planet and the gravitational force will be responsible for centripetal force on the moon.

The centripetal force on the moon will be,

where is the centripetal acceleration of the moon.

So, the centripetal acceleration of the moon will be calculated as,

Therefore, the centripetal acceleration of the moon is .

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C. 20 m/s²

The centripetal acceleration of the moon is nearly equal to 20 m/s²

Explanation:

Given:

Mass of the moon :

Gravitational force :

As the gravitational force provides the centripetal force necessary for the moon to perform circular motion around the planet;

Centripetal Force = Gravitational force

.....................(1)

From (1)

Centripetal acceleration = 20 m/s²