Question

Hook’s law.the distance d when a spring is stretched by a hanging object varies directly as the weight w of the object.if the distance is 33 cm when the weight is 3kg what is the distance when the weight is 6 kg

Answer 1

uhhhh, 66cm??

Answer 2

well w = kx
so w/x = constant
=> w1/x1 = w2/x2
just plug in values

Answer 3

for the mass:
W=mg

for the spring:
F=kd

the weight and the force of the spring are opposite and the mass is in equilibrium so:
mg=kd or W=kd so W and d are proportional (if k is constant). so when W gets twice as big d also gets twice as big. so 66 cm.