Question

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

Answer 1

29.0625 inches

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