Answer:
Potential energy = 1.6 J
Work done = -1.6 J
Step-by-step explanation:
Potential Energy in the spring at this extension?
The potential energy U in the spring is U = 1/2kx² where k = spring constant = F/x where F = force = 20 N and x = extension = 0.16 m. So k = 20 N/0.16 m = 125 N/m
U = 1/2kx²
= 1/2 × 125 N/m × (0.16 m)²
= 1.6 J
What is the work done to extend the spring. 16 meters
Work done W = U₁ - U₂ where U₁ = initial potential energy = 0 and U₂ = final potential energy = 1.6 J
W = 0 - 1.6 J
= -1.6 J