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Calculate the escape velocity on the sur...

Calculate the escape velocity on the surface of the Moon given the mass and radius of the Moon to be `7.34xx10^(22)` kg and `1.74xx10^(6)m` respectively.

Text Solution

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`G= 6.67xx10^(-11) Nm^(2)//kg^(2)`, mass of the moon `= M = 7.34 xx10^(22) kg` and radius of the moon `=R=1.74xx10^(6) m`.
Escape velocity `= v_("esc") = sqrt((2GM)/(R ))`
`sqrt((2xx6.67xx10^(-11)xx7.34xx10^(22))/(1.74xx10^(6)))`
`=2.37 km//s`
Escape velocity on the moon 2.37 km/s.
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