Answer:
k = 44000 N/m is the answer.
Step-by-step explanation:
Gravitational Potential Energy = 770J
Elastic Potential Energy = 14% of 770J
= 14/100 × 770
= 107.8J
Extension (x) = 42 - 35 = 7cm = 7 × 10⁻²m
To find the spring constant (k)
Elastic Potential Energy Formula:
107.8 = 1/2 × k × (7 × 10⁻²)²
215.6 = 0.0049 × k
k = 215.6/0.0049
k = 44000 N/m