Hooke Law the distance d when a spring is streched by a hanging object varies directly as the weight w of the object. If the distance is 61cm when the weight is 2kg. What is the distance when the weight is 7kg

Use the law. The first sentence:

d \alpha w

So, inserting a constant:

d = kw

Use the given values:

61 = (k)2

Find k.

Then, you'll have d = kw where you know the value of k.

You can now find the distance d, by multiplying the weight 7kg by the value of k you got before.