Answer:
The maximum distance the person will reach before he slip is 1.82m.
Not even close to the middle of the ladder.
Explanation:
Check attachment for solution
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Since each serves a different purpose, theories cannot become
laws. Explaining how or why a natural phenomenon occurs is what the set of ideas
called theories do. On the other hand, mathematical relationships that
describes what happens are what is done by laws.
Let me show an example that illustrates the points.
Describing what happens in the natural world are done by the mathematical
formulas called the Gas Laws. In this example, it would show that by using the
Gas Laws, I will be able to predict with great accuracy the pressure if I
double the temperature of a sealed gas. This idea is a law since the
relationship is mathematical and it tells us what will happen.
<span>On the other hand, in order to explain why gases behave like
the way they do, we must use the kinetic molecular theory.</span>
We will apply the concepts of energy conservation to solve the problem. We know that gravitational potential energy is equivalent to the sum of translational kinetic energy and rotational kinetic energy. Additionally, the relation of the angular velocity with the tangential velocity will be determined to eliminate the angular term and obtain the expression of the Inertia in terms of the data given, therefore, we know that


The angular velocity in terms of tangential velocity and radius is defined as,

Replacing,

Multiplying by R^2,



Replacing with our values we have,

