The reasoning is wrong if we look into Newton's Law of gravitation.
Newton's law of gravitation states that every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
The law is written as follows;


The distance between the two particles, is a function of force and their masses not necessarily time of motion.
In the given problem only time of motion was considered which is wrong.
Thus, the reasoning is wrong if we look into Newton's Law of gravitation.
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Answer:
0.78333 m/s in the opposite direction
1.566 m/s in the same direction
Explanation:
= Mass of penny = 0.0025 kg
= Mass of nickel = 0.005 kg
= Initial Velocity of penny = 2.35 m/s
= Initial Velocity of nickel = 0 m/s
= Final Velocity of penny
= Final Velocity of nickel
As momentum and Energy is conserved


From the two equations we get

The final velocity of the penny is 0.78333 m/s in the opposite direction

The final velocity of the nickel is 1.566 m/s in the same direction
Answer:
= 351.84 J
Explanation:
Using the conservation of energy K:

so:

where m is the mass, v the initial velocity,
is the kinetic energy of the mass as it clears the fence, g the gravity and h the altitude.
Then, replacing values, we get:

solving for
:
= 351.84 J