Nala does twice as much work as Mateo in the same amount of time. How much power does she have, compared to Mateo?
work = power * time
time the same
work twice
so
power twice
To calculate the relative power of Nala compared to Mateo, we need to consider that power is equal to the amount of work done divided by the time taken to do the work.
Let's assume that Mateo does x amount of work in a given time.
According to the given information, Nala does twice as much work as Mateo in the same amount of time. Therefore, Nala does 2x amount of work in the same time period.
Now, let's consider that power is calculated by dividing work done by time.
For Mateo, power = x amount of work ÷ time
For Nala, power = 2x amount of work ÷ time
Comparing the power of Nala to Mateo, we can conclude that Nala has twice the power of Mateo, since Nala does double the amount of work in the same period of time.
To determine how much power Nala has compared to Mateo, we need to understand the concept of power and how it relates to work.
Power is a measure of how quickly work is done or the rate at which work is done. It is calculated by dividing the amount of work done by the time it takes to do that work.
Given that Nala does twice as much work as Mateo in the same amount of time, we can use this information to compare their power.
Let's assume that Mateo's work is represented by W and Nala's work is represented by 2W, where W is the amount of work done by Mateo.
If Mateo and Nala take the same amount of time, let's say t, then their power can be calculated as follows:
Mateo's power = Work done by Mateo / Time taken = W / t
Nala's power = Work done by Nala / Time taken = 2W / t
To compare their powers, we can calculate the ratio of Nala's power to Mateo's power:
Nala's power / Mateo's power = (2W / t) / (W / t) = (2W * t) / (W * t) = 2
Therefore, Nala has twice the power of Mateo.