Question

A body is projected vertically from the surface of
the earth of radius 'R' with velocity equal to half
of the escape velocity. The maximum height
reached by the body is
a R/5
b R/5
c R/2
d R/4​

Answer 1

Answer:

R/3

Explanation:

From law of conservation of energy,

TEsurface=TEMax height

−GMmR+12m(ve2)2=−GMmR+h+12m(0)2

−GMmR+12m(2GM4R)=−GMmR+h(∵v2e=2GMR)

Answer 2

the answer is r/3

the maximum attained height is r/3