A weight of 15 ounces stretches a spring 10 inches. A weight of 24 ounces stretches the same spring 16 inches. How many inches does the spring stretch per ounce of additional weight?
F = k x
15 = k *10
k = 1.5
check:
24 = 1.5 x
x = 16 sureenough
so 1.5 oz/inch
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz
But the answer choices are A.2/3inch B. 3/2inch and C. 25 inches
To find how many inches the spring stretches per ounce of additional weight, we need to calculate the change in spring stretch per additional ounce.
First, let's find the change in weight:
Change in weight = 24 ounces - 15 ounces = 9 ounces
Next, let's find the change in spring stretch:
Change in spring stretch = 16 inches - 10 inches = 6 inches
Now, let's calculate the spring stretch per ounce of additional weight:
Spring stretch per ounce = Change in spring stretch / Change in weight
Substituting the values we found:
Spring stretch per ounce = 6 inches / 9 ounces
Therefore, the spring stretches approximately 0.67 inches per ounce of additional weight.