mistake in GMP-2?

A small ball of mass m is released from a height R above the surface ot the earth surface as shown. If the maximum depth of the ball to which it goes into the earth is R/2 through a narrow grove before coming to rest momentarily. The grove is fitted with an ideal spring of spring constant K and natural length R, then K is? R is radius of earth and M is mass of earth.
options are:

figure:

7 Answers

6
Aakash Sharawat ·

i solved it as:

where as the answer given is D!

explain!

6
Aakash Sharawat ·

ANYBODY PLEASE HELP!!!!!!!!

6
Aakash Sharawat ·

go to get the answer!
some body please help!!!!!!!!!

11
Subash ·

i cant see ur writing

but i got ans D

-GMm/2R=-GMm/(R/2)+(1/2)k(R^2/4)

i think u can take it from there :)

11
Subash ·

bhaiyya chek this out please?

33
Abhishek Priyam ·

grav pot energy in RHS sahi hai???

6
Aakash Sharawat ·

IN RHS ITS CORRECT BUT IN LHS I THINK THAT THE POTENTIAL ENERGY SHOULD BE

(potential at R/2*the mass)
that is it should be

if we solve it furthur we get A as the answer!!!!!!
why is the answer wrong by this method!!!!!!!!!!

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