Momentum is simply a quantity that measures the impact of a moving body over something is due to the mass it posseses or the velocity with which it is moving.
Mathematically,ut is the product of mass and velocity of a body.
It is represented by capital p...(P)
P=mv
Solution to the problem:
we know P=mv
For mass,eliminate m from the equation,
m=P/v
Put values,
m=5000/5=1000kg
From T = 2π√(l/g).
Since the lengths are the same, so that is a constant.
T α 1/√g
So the period T is inversely proportional to the square root of gravity g.
So the one with a bigger gravity g would have a shorter period
and
the one with smaller gravity g would have a longer period.
Therefore the period on the Moon with gravity of 1.63 m/s² would be longer period than that on the Earth with gravity of 9.81 m/s²
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That gives you the magnitude of velocity, but it doesn't handle
the directions that are involved.