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Answer :
The correct statement is (A) The scale will read more than 128 lb. The result is obtained by using the Newton's second law.
What is Newton's second law?
The Newton's second law states that "The acceleration is directly proportional to the net force acting on an object and inversely proportional to the object's mass." It can be expressed as
a = ∑F/m
or
∑F = ma
Where
- ∑F = net force
- a = acceleration
- m = object's mass
A woman with weight of 128 lb is standing on a spring scale in an elevator travelling downward, but slowing up. See the illustration picture in the attachment!
When an elevator is travelling downward, the direction of the weight is the same with the direction of the force, that is downward.
Using the Newton's second law, we get
∑F = ma
W - N = ma
N = W - ma
N = mg - ma
Where
- W is the actual weight
- N is the weight read
But we know that the elevator travels slowing up, a is negative.
N = mg - m(-a)
N = mg + ma
In words, the weight read is more than the actual weight.
Hence, the scale will read that the woman weighs more than 128 lb.
Learn more about weight in an elevator here:
brainly.com/question/3938078
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