The center of the moon is approximately 384000km from the center of the earth and orbits from the earth in 27,3 days . If a moon has a mass of 7,35×10^22 kg. what is the magnitude of its momentum?

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Answer 1 · 2018-08-14T13:31:18

Approximately $1.2*10^25 \ "kg m/s"$ .

Well we can first calculate the speed of the moon, which will be:

$s=(384000 \ "km")/(27.3 \ "days")$

$=(384000 \ "km")/(2358720 \ "s")$

$=(384000000 \ "m")/(2358720 \ "s")$

$~~162.8 \ "m/s"$

Then, momentum is given by the equation:

$p=mv$

where:

$m$ is the mass of the object in kilograms

$v$ is the velocity of the object in meters per second

So, we get:

$p=7.35*10^22 \ "kg"*162.8 \ "m/s"$

$~~1.2*10^25 \ "kg m/s"$