Answer:
2.15 m
Explanation:
Newton's Law of Universal Gravitation:
is the gravitational force of attraction
is the universal gravitational constant
and
are the two masses of the two objects
is the distance between the centers of the two objects.
List the known values:
Plug these values into the equation:
Notice that the units
,
, and
cancel out. We are left with the unit
for radius r.
Get rid of the units to make the problem easier to read.
Multiply the masses together.
Multiply the gravitational constant and the masses together.
Solve for
by dividing both sides by 3.47 * 10^(-8) and moving
to the left.
Take the square root of both sides.
The students are sitting about 2.15 m apart from each other.
The acceleration due to gravity of an object with a mass of 10000 g = 42.02 x 10^-16 m/s²
<h3>What is gravitational constant?</h3>
According to Sir Isaac Newton's rule of universal gravitation and Albert Einstein's theory of general relativity, the gravitational constant, indicated by the capital G, is an empirical physical constant that is used to calculate the gravitational effects.
<h3>According to the given information:</h3>
mass of object = 10kg
gravitational constant = 6.67 x 10^-11
radius of earth = 6.3 x 10^6
we know that:
acceleration due to gravity = GM/R²
= ((6.67 x 10^-11)*10)/(6.3 x 10)²
Solving this we get :
42.02 x 10^-16 m/s²
The acceleration due to gravity of an object with a mass of 10000 g = 42.02 x 10^-16 m/s²
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