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Answer:
The distance between the two objects must be squared.
Explanation:
Gravitational force always act between two objects that have mass. The gravitational force is a weak force and attractive in nature.
The force of pull depends on the masses of the two objects and the distance between them.
The formula to calculate gravitational force between two objects having masses 'm' and 'M' and separated by a distance 'd' is given as:
Where, 'G' is called the universal gravitational constant and its value is equal to .
Now, from the above formula, it is clear that, the force of gravitation is inversely proportional to the square of the distance between the two objects.
Thus, the quantity that must be squared in the equation of gravitational force between two objects is the distance 'd'.
Explanation:
(a) Formula to calculate volume of the submerged wooden block is as follows.
It is given data of the wooden block is as follows.
depth = 7.96 cm, length (l) = 6 cm
width (w) = 4 cm,
So, we will calculate the volume of the submerged wooden block as follows.
=
= 286.56
Hence, the submerged volume of the block is 286.56 .
(b) Expression for the buoyant force acting on the wooden block is as follows.
And, expression for the force of gravity of the wooden block is as follows.
As the wooden block is floating on the water hence, buoyant force is balanced by the weight of the block.
Hence, mass of the wooden block will be calculated as follows.
=
=
= 0.02857 kg
Therefore, mass of the given block is 0.02857 kg
(c) Expression for the density of the block is as follows.
Now, expression for the total volume of the wooden block is as follows.
Hence, density of the given block is as follows.
=
=
=
Therefore, density of the given block is .