An object hangs from a spring. The formula relates the length , in centimeters, of the spring to the weight w, in newtons, of the object. Which of the following describes the meaning of the 2 in this context?
A
The length, in centimeters, of the spring with no weight attached
B
The weight, in newtons, of an object that will stretch the spring 30 centimeters
C
The increase in the weight, in newtons, of the object for each one-centimeter increase in the length of the spring
D
The increase in the length, in centimeters, of the spring for each one-newton increase in the weight of the object
Correct answer: D
Explanation
Choice D is correct. The value 2 is multiplied by w, the weight of the object. When the weight is 0, the length is 30 + 2(0) = 30 centimeters. If the weight increases by w newtons, the length increases by 2w centimeters, or 2 centimeters for each one-newton increase in weight.
Choice A is incorrect because this describes the value 30. Choice B is incorrect because 30 represents the length of the spring before it has been stretched. Choice C is incorrect because this describes the value w.
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id cb_question_bank:d3c93aee-c60c-46a5-ad43-247adcd9732b · question daad7c32 · IBN 08486-DC
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