Question

The extension of an elastic spring is found to vary directly with the weight
suspended from it. If a weight of 75 kg produces an extension of 1.4 cm,
calculate the weight that would produce an extension of 9.8 cm.​

Answer 1

Step-by-step explanation:

if extension is directly proportional to weight then

W1/W2=Δx1/Δx2

Where W represents weight and Δx represents extension produced

Now putting value

75/W2=1.4/9.8

We get W2= 525 kg

It was easy. But if it's a tricky question you've got me....

Answer 2

Answer:

Step-by-step explanation:

Given,

the extension of an elastic spring found to vary directly with the weight suspended from it

so write

=> l = kw (1)

where k = proprotionally constant

l = represent the extension of an elastic spring

w =represent the weight

w = 75kg

l= 1.4 cm

so substitute these vale In equation (1)

we have 1.4 = k× 75

k =1.4/ 75

so equation (1) becomes

l =1.4/75 × w

when l = 9.8 cm = 1.4 / 75 × w

=> w = 9.8 × 75 / 1.4 = 525 kg

hence w = 525 kg , l = 9.8 cm