The radius of the earth is reduced by 4%.The mass of the earth remains unchanged.What will be the change in escape velocity?

Asked by  | 3rd Mar, 2013, 06:26: PM

Expert Answer:

v=√(2gR)=√(2GM/R)=L/√R.......(1)
after R is reduced by 4%:new escape velocioty:v'=√(2GM/(94R/100))=10L/√(94R).........(2)
so increase in escape velocity=v'-v=10L/√(94R)-L/√R
so % increase in esc vel=(v'-v)/vx100=7% after calculating

Answered by  | 4th Mar, 2013, 11:04: AM

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