Answer: 5166.347
Explanation:
The specific gravity of a solid 
(also called relative density) is the ratio of the density of that solid 
to the density of water 
(normally at 
):
(1)
On the other hand, the density of the rock is calculated by:
(2)
Where:
is the mass of the rock
is the volume of the rock, since is spherical
Well, we already know the value of 
, but we need to find in order to find the rock's specific gravity; and in order to do this, we firsly have to find and then calculate 
:
In the case of the mass of the rock, we can calclate it by the following equation:
(3)
Where:
is the weight if the rock in mars
is the acceleration due gravity in Mars
Isolating :
(4)
(5)
To find we can use the following equation of the potential gravitational energy 
:
(6)
Where:
is the potential energy
is the height at which the rock has the mentioned potential energy
Isolating :
(7)
(8)
(9)
Substituting (9) in (5):
(10)
(11)
Substituting (11) in (2):
(12) At this point we only need to find the volume of the rock, knowing its diameter is 
, hence its radius is 
(13)
(14)
Substituting (14) in (12):
(15)
(16)
Substituting (16) in (1):
(17)
Finally we obtain the specific gravity of the rock:
