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"#