Mathematics<span> is </span>important to science<span> because when </span>scientific findings in nature are expressed mathematically, they are easier to verify or disprove by experiment. <span>Without mathematics we would ultimately have no nice way of understanding or analyzing the relationships between quantities we observe and measure.</span>
This took me a short while to figure out, but I am still not entirely sure if this is correct, this is just from my basic understanding of Newtons Second Law of Motion.
You have a 4kg cart with a force of 20N acting on it.
The formula for working out the acceleration is.
a=Fnet÷mass
Substitute in the information.
a=20N÷4kg
Now you solve it to give you.
a=5m/s
So now what you should be able to do is figure out that after 10 seconds the cart travelling at 5m/s would have travelled 10 metres.
This is achieved by finding out how many 5's go into 10 which is 2.
So you do 5×2 which equals 10.
The 4kg cart has travelled 10 meters in 10 seconds with a force of 20N acting upon it.
I hope that this has helped you.
The moment of inertia of a uniform solid sphere is equal to 0.448 .
<u>Given the following data:</u>
Mass of sphere = 7 kg.
Radius of sphere = 0.4 meter.
<h3>How to calculate moment of inertia.</h3>
Mathematically, the moment of inertia of a solid sphere is given by this formula:
<u>Where:</u>
- I is the moment of inertia.
Substituting the given parameters into the formula, we have;
I = 0.448 .
Read more on inertia here: brainly.com/question/3406242
Answer: 0.8
Explanation:
The efficiency is defined as the ratio of total imput energy that is actually utilized to the end of the device.
So if we have a total transfer of 1500j of energy, and 1200j are used to heat the thing inside the kettle, 300j are not used to the actual function of the kettle.
So the efficiency is n = 1200j/1500j = 0.8
This means that a 80% of the energy imput is actually used to heat the kettle.
<span>
Technically, you can simply point out that "acceleration" MEANS
"change in velocity", so of course they have the SAME direction.</span>