What is the new acceleration (in m/s/s)?
1 answer:
The new acceleration is
Explanation:
We can answer this problem by applying Newton's second law, which states that:
where
F is the net force on an object
m is the mass of the object
a is its acceleration
The equation can be rewritten as
In this problem, the initial acceleration is
Later:
- The net force is tripled:
- The mass is halved:
Therefore, the new acceleration is:
which means that the new acceleration is 6 times the original acceleration, therefore
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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.
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