Question

two body of same mass are placed at height H and 2H compare the gravitational potential energy

Answer 1

1.  Potential energy = mgh

Ratio of potential energies of A and B = mgh/(2mgh)  = 1/2 = 0.5

2. No, it is a scalar quantity.

3. Mass of the ball m = 200 g = 0.2 kg
    Height  h = 5 m
    Acceleration due to gravity g = 9.8 m/s2
    Potential energy at the highest position = mgh = 0.2 x 9.8 x 5 = 9.8 J
    This entire P.E. is converted into K.E when it reaches the ground (i.e. at h = 0).
Therefore K.E. = 9.8 J

Answer 2

Hey there!

Mass of first body = Mass of second body

i.e $M_A = M_B$

Heights = h and 2h respectively.

Now,

$\dfrac{P.E_{A}}{P.E_B}\\\\=\dfrac{mgh}{mg2h}\\\\=\dfrac{1}{2}\\\\=1 : 2$

Hope it Helps You!