Answer:
The Work required to stretch the spring W = 0.42 J
Explanation:
Natural length = 12 cm
Stretched length = 18 cm
Change in length ( x ) = 18 - 12 = 6 cm = 0.06 m
Force required = 28 N
We know that spring force F = k x --------- (1)
⇒ k = [tex]\frac{F}{x}[/tex]
⇒ k = [tex]\frac{28}{0.06}[/tex]
⇒ k = 466.67 [tex]\frac{N}{m}[/tex]
This is the stiffness of the spring.
Now the force required to stretch the spring F = k [tex]x_{1}[/tex]
⇒ [tex]x_{1}[/tex] = change in length of spring = 15 - 12 = 3 cm = 0.03 m
⇒ F = 466.67 × 0.03
⇒ F = 14 N
Now the work required to stretch the spring W = F × [tex]x_{1}[/tex]
⇒ W = 14 × 0.03
⇒ W = 0.42 J
This is the Work required to stretch the spring from 12 cm to 15 cm.
