The spring constant needed for spring A to store as much potential energy as B is 1.72
How to determine the energy of spring B
- Spring constant (K) = 0.67 N/m
- Extention (e) = 0.8 m
- Energy (E) =?
E = ½Ke²
E = ½ × 0.67 × 0.8²
E = 0.335 × 0.64
E = 0.2144 J
How to determine the spring constant of spring A
- Energy of spring B = 0.2144 J
- Energy of spring A = Energy of B = 0.2144 J
- Extention (e) = 0.5 m
- Spring constant (K) =?
E = ½Ke²
0.2144 = ½ × K × 0.5²
0.2144 = ½ × K × 0.25
0.2144 = K × 0.125
Divide both side by 0.125
K = 0.2144 / 0.125
K = 1.72
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