Hooke's Law says that the force exerted by a spring scale varies directly with the distance that the spring is stretched. if a 16 pound mass suspended ona spring scale stretches the spring 15 inches how far will a 31 pound mass stretch the spriung

29.0625 inches

Step-by-step explanation:

This situation is direct variation

16pounds mass stretches the spring by 15 inches

F=ke

where k is the spring constant.

k = F/e

k = 16/15

To find how far will a 31 pound mass stretch the spring,

F=ke

31 = (16/15) * e

e = (31*15) / 16

e=29.0625 inches