What E is. if E=2 when W=15, find E when W=10

Question

asked Sep 5, 2023 113k views

1 Answer

Valentino · Answer 1 · 2023-09-11T06:40:40+0000

SOLUTION

From the statement, we are told that the elongation E of a spring balance varies directly with the applied weight W of a spring balance. This means

$\begin{gathered} E\propto W \\ \propto is\text{ a sign of proportionality } \end{gathered}$

If we remove the proportionality sign and introduce a constant which is k, the equation becomes

Now we will use the values E = 2 and W = 15 to find the value of k. This becomes

$\begin{gathered} E=kW \\ 2=15* k \\ 15k=2 \\ k=(2)/(15) \end{gathered}$

So, the relationship between E and K is

From this relationship, if W = 10, then E will be

$\begin{gathered} E=(2)/(15)W \\ E=(2)/(15)*10 \\ E=(4)/(3) \\ E=1(1)/(3) \end{gathered}$

Hence, the answer is

Or, 1.33