How much work must be done on a spring with a spring constant of 80 N/m to stretch the spring 20 cm?
A. 1.6 J
B. 1.7 J
C. 1.9 J
D. 2.0 J

Respuesta :

Answer:

A. 1.6 J

Explanation:

The formula to calculate the work done on a spring can be calculated by ,

[tex]\sf Work \ done = \dfrac{1}{2} kx^2 [/tex]

where

  • k is spring constant and,
  • x is displacement from the equilibrium position.

We are given, Spring constant (k) is 80 N/m and displacement (x) is 20 m = 0.20 cm

substitute the given values in the above formula,

⇒️ Work done = 1/2 × 80 × (0.20)²

⇒️ Work done = 40 × 0.04

⇒️ Work done = 1.6 Joules

Therefore, the work done on the spring is 1.6 Joules.

Option (A) is the required answer.