Question

A spring is characterized by a spring constant of 60 N/m. How much potential energy does it store, when
stretched by 1.0 cm?
(A) 3.0 x10-'J (B) 0.30J
(C) 60 J
(D) 600 J​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

A spring is characterized by a spring constant of 60 N/m. How much potential energy does it store, when streched by 1 cm.

$\huge\underline{\underline{\bf \orange{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Spring Constant (k) = 60 N/m
• It's streched by (x) = 1 cm ➝ 0.01m

$\large\underline{\underline{\sf To\:Find:}}$

• Potential Energy ( U )

$\large\underline{\underline{\sf Formula\:Used:}}$

✪$\large{\boxed{\bf \blue{Potential\: Energy (U)=\dfrac{1}{2}kx^2} }}$

$\implies{\sf U = \dfrac{1}{2}×60×(0.01)^2 }$

$\implies{\sf U = \dfrac{1}{2}×60×1×10^{-4}}$

$\implies{\sf U = 30 × 10^{-4} }$

$\implies{\bf \red{Potential\: Energy ( U) = 3 × 10^{-3}J} }$

$\huge\underline{\underline{\bf \orange{Answer-}}}$

Potential energy it store, when stretched by 1.0cm is ${\bf \red{3×10^{-3}J}}$.