Question

A spring has natural length 24 cm. Compare the work W1 done in stretching the spring from 24 cm to 34 cm with the work W2 done in stretching it from 34 to 44 cm. (Use k for the spring constant) So:W1= ? W2:=? These answers must be written in terms of k. How are W2 and W1 related? W2 = ? W1

Answer 1

From the analysis W1=W2.

they are directly related

Explanation:

the work-done in stretching a spring can be expressed as

`W=(1)/(2)kx^2`

where k= spring constant

x= change on length of spring

Hence for W1

Given data

x= 34-24= 10 cm

solving in terms of k we have

`W=(1)/(2)k*10^2\\\W=(1)/(2)k*100\\\W=50k`

Hence for W2

Given data

x= 44-34= 10 cm

solving in terms of k we have

`W=(1)/(2)k*10^2\\\ W=(1)/(2)k*100\\\ W=50k`