Answer:
<em>The first option best compares both ramps: "It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater"</em>
Explanation:
Power and Work
If an object is being lifted by a vertical distance y, the work done by the agent is the same regardless of the path taken to reach that heigh. But the power could be different since it depends on the time needed to do the work.
The question talks about 'effort' which we'll assume to be the power, since, as noted above, the work is the same by using any of the ramps. The 5 m ramp makes the job easier because the worker has to push less. It's due to the fact that the component of the weight depends on the sine of the angle formed by the ramp with the floor. The larger ramp makes a shorter angle, thus requiring less effort, through a longer distance.
Thus, the first option best compares both ramps:
<em>It takes less effort to wheel boxes up the 5 m ramp, but the distance is greater</em>
Melting, of course. Just as how an ice cube melts to water.
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:
To solve this problem we will apply the ideal gas equations for which the product of pressure and volume is defined, as the equivalent between the ideal gas constant by the amount of matter and the temperature, mathematically this equation is described as
Here,
P = Pressure
V = Volume
R = Ideal gas Constant
T = Temperature
n = Number of molecules
The pressure is in atmospheres, and considering the units of the other values we have finally that,
Replacing,
Multiplying the number of moles by Avogadro's number we have,
Therefore the number of ozone molecules in the Earth's ozone layer are
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