Taking into account the rule of three for the change of units, the mass of the book is 45600 miligrams.
First of all, the rule of three is a mathematical tool that helps you quickly solve proportionality problems.
Having three known values and one unknown, a proportional relationship is established between all of them in order to find the fourth term of the proportion.
If the relationship between the magnitudes is direct (when one magnitude increases, so does the other; or when one magnitude decreases, so does the other), the rule of three is applied as follows, where a, b and c are known values and x is the unknown to calculate:
a → b
c → x
So:
Being 1 kg equivalent to 1000000 milligrams, In this case the rule of three is applied as follows: if 1 kg equals 1000000 milligrams, 4.56×10⁻² kg equals how many milligrams?
1 kg → 1000000 milligrams
4.56×10⁻² kg → x
So:
<u><em>x=45600 miligrams</em></u>
In summary, the mass of the book is 45600 miligrams.
Learn more:
Maximum because when moving in circular motion it move front to back
Answer:
0.19 rev
Explanation:
We can solve the problem by using the law of conservation of angular momentum. In fact, if we assume there are no external torques acting on the diver, the angular momentum must be conserved:
where
L is the angular momentum
I is the moment of inertia
is the angular velocity
- When the diver is tucked,
is her moment of inertia
She makes 2 revolutions (so, ) in t = 1.0 s, so her angular velocity is
So her angular momentum is
- When the diver is not tucked,
The angular momentum is conserved, so
the moment of inertia is
So the angular velocity is
So in a time of t = 1.5 s, the angular displacement is
Converting into revolutions,