Question

9 Two objects have the masses of 15 kg and 10 kg respectively. The 15 kg object is placed on the surface of Earth to 4 m height and the 10 kg one is placed to 2
m height on a planet whose acceleration due to gravity is 2.5 times to that of Earth surface. What is the ratio of their gravitational potential energies?
(Take: earth = 9.8 m/s)
- A. 0 4.5
B. 034
c. 0 1.2
D. 0.83​

Answer 1

Answer:

abcd

Explanation:

According to Universal law of gravitation, the force of attraction between 2 bodies is:-

F = (G m1m2)/r2

Where m1m2 = the masses of the two bodies,

r = distance between them

 G = gravitational Constant

When the distance is reduced to half i.e. r’ = (1/2) r then,

F’ = (G m1m2)/r2

= (G m1m2)/(r/2)2

= (4 G m1m2)/ (r2) = 4F

Therefore when the distance between the objects is reduced to half, then the force of gravitation increases by four times the original force.