The quantities x and y are proportional. Find the constant of proportionality r in the equation y = ex
1 answer:
Answer:
Here, <em>e</em> is the proportionality constant.
Step-by-step explanation:
Two quantities P and q are said to in proportion if and only if they have equivalent fraction in each case.
or, for each value of P and Q.
Here, k is called the Proportionality Constant.
Now here given: x and y are in proportion.
also, y = ex
⇒
So, here e is the proportionality constant.
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Answer:
D:Spring A is 3 m longer than spring B because 15 – 12 = 3.
Step-by-step explanation:
In this question, you should remember the Hooke's Law in physics.
The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.
The mathematical expression for this law is
where;
F= force applied on the spring
x = the extension on the spring
k= the spring constant which varies in spring.
The question will need you to calculate the extension on the springs A and B then compare the values obtained.
<u>In spring A</u>
Force, F=60N and spring constant ,k=4 N/m
To find the extension x apply the expression;
Here the spring extension is 15 m
<u>In spring B</u>
Force, F=60N and spring constant , k=5N/m
To find the extension x apply the same expression
Here the extension on the spring is 12 m
<u>Compare</u>
The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m