The period of the pendulum is 8.2 s
Explanation:
The period of a simple pendulum is given by the equation:
where
L is the length of the pendulum
g is the acceleration of gravity
T is the period
We notice that the period of a pendulum does not depend at all on its mass, but only on its length.
For the pendulum in this problem, we have
L = 16.8 m
and
(acceleration of gravity)
Therefore the period of this pendulum is
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The new weight is 273.8 N
Explanation:
The weight of an object on Earth is given by
where
m is the mass of the object
g is the acceleration of gravity
The acceleration of gravity at the Earth's surface can be rewritten as
where
G is the gravitational constant
M is the Earth's mass
R is the Earth's radius
Substituting into the previous equation,
We said that in normal conditions, the weight of the person is 730 N:
Later, we are said that:
Substituting into the equation, we find the new weight of the person in these conditions:
So, the new weight is 3/8 of the original weight, therefore:
Learn more about gravity:
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