Using our understanding of the law of gravity. What happens to the gravity as we triple the distance between two objects?
1 answer:
Answer:
1/9
Explanation:
<em>Newton’s Law of Universal Gravitation </em>
Objects with mass feel an attractive force that is proportional to their masses and inversely proportional to the square of the distance.
F = GMm/r²
where
F - the gravitatioal force in Newtons,
M and m -two masses in kilograms
r - the separation in meters.
G - the gravitational constant (6.674*10 ⁻¹¹ N (m/kg) ² )
Because of the magnitude of G , gravitational force is very small unless large masses are involved.
So according to above equation , when the masses are not changing , force is inversely propotional to the square of distance
F1 ∝ 1/r² ---------------(1)
F2 ∝ 1(3r)²
F2 ∝ 1/9r²--------------(2)
(2)/(1)
From their you get as the distance tripled, Force reduce by a factor of 9(3³)
for example , assume the distance get doubled ,Force reduce by a factor of 4 (2²)
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Answer:
The block has an acceleration of
Explanation:
By means of Newton's second law it can be determine the acceleration of the block.
(1)
Where represents the net force, m is the mass and a is the acceleration.
(2)
The forces present in x are and
(the friction force):
Notice that subtracts to
since it is at the opposite direction.
The forces present in y balance each other:
Therefore:
(3)
But and writing (3) in terms of a it is get:
So the block has an acceleration of .
