Questions
A body is projected vertically upwards from the surface of a planet of radius fl with a velocity equal to half the escape velocity for that planet. The maximum height attained by the body is
a
R/3
b
R/2
c
R/4
d
R/5
detailed solution
Correct option is A
When the body goes up, thenDecrease in K.E, = Increase in P.E.∴ 12mv2−0=mg1+(h/R)hor 12m2gR22=mg1+(h/R)h ∵ve=2gR)mgR4=mgh1+(h/R)or R1+hR=4h or R+h=4h or R=3h∴ h=R3Talk to our academic expert!
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When a projectile attains the escape velocity, then on surface of planet its
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