Question

the distance d that a spring is stretched by a hanging object varies directly as the weight w of the object . if a 3kg object stretches a spring 16 cm , how far will a 24 kg weight stretch the spring

Answer 1

As the stretch of spring by a hanging object varies directly as the weight w,

So we can say, Stretch of spring (L) is directly proportional to the Weight (W),

L∝W,

Thus, L=kW

were 'k' is proportionality constant.

We, may say ratio of , is constant.

Then,

Thus the length by spring will stretch when subjected to 24 kg weight is 384 cm.

I hope this helped.