Escape velocity of the body from the surface of earth is v=√2gR For escape velocity of the body from the platform, potential energy + kinetic energy =0 −
GMm
2R
+
1
2
mv2=0 ⇒fvescape=√
GM
R2
.R=√gR=fv From the surface of the earth, vescape=√2gR ∴fvescape=