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l=24+3.5m One end of a spring is attac...

`l=24+3.5m`
One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of `l` centimeters as shown in the equation above. What is m when `l` is 73 ?

A

14

B

27.7

C

73

D

279.5

Text Solution

Verified by Experts

Choice A is correct. The value of m when `l` is 73 can be found by substituting the 73 for `l` in `l = 24 + 3.5m` and then solving for m. The resulting equation is 73 = 24 + 3.5m, subtracting 24 from each side gives 49 = 3.5m. Then, dividing each side of 49 = 3.5m by 3.5 gives 14 = m. Therefore, when `l` is 73, m is 14.
Choice B is incorrect and may result from adding 24 to 73, instead of subtracting 24 from 73, when solving 73 = 24 + 3.5m. Choice C is incorrect because 73 is the given value for `l`, not for m. Choice D is incorrect and may result from substituting 73 for m, instead of for l, in the equation `l = 24 + 3.5m.`
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