It is given that
E=mgh+p22m
2mE=2m2gh+p2
p2=2(2mE−m2gh)
Writing dimensional formula of m,g,E and h
m=[M]
g=[LT−2]
h=[L]
E=[ML2T−2]
p2=[M2L2T−2]
p=[MLT−1]
A body of mass m rises to height h=R5 from the earth's surface, where R is earth's radius. If g is acceleration due to gravity at earth's surface, the increase in potential energy is