1.

The moon has mass M and radius R.A small object is dropped from a distance of 3R from the moon's center. The object's impact speed when it strikes the surface of the moon is equal to sqrt(kGM//R) for k=

Answer»

`1/3`
`2/3`
`3/4`
`4/3`

Solution :Apply conservation of mechanical energy.
`K_(0)+U_(0)=K_(f)+U_(f)`
`0-G(Mm)/(3R)=(1)/(2)mv_(f)^(2)-G(Mm)/(R)`
`(1)/(2)mv_(f)^(2)=G(2MM)/(3R)`
`v_(f)=sqrt(((4)/(3)GM)/(R))`.


Discussion

No Comment Found

Related InterviewSolutions