Answer:
11.25 m
Step-by-step explanation:
From the question given above, the following data were obtained:
Spring constant (K) = 1.2 N/m
Energy (E) = 76 J
Compression (e) =?
Energy stored in a spring is given by the following equation:
E = ½Ke²
Where:
E => Energy stored in the spring.
K => spring constant
e => Extention or compression
With the above formula, we can obtain how much the spring has been squashed as follow:
Spring constant (K) = 1.2 N/m
Energy (E) = 76 J
Compression (e) =?
E = ½Ke²
76 = ½ × 1.2 × e²
76 = 0.6 × e²
Divide both side by 0.6
e² = 76 / 0.6
Take the square root of both side.
e = √(76 / 0.6)
e = 11.25 m
Thus, the spring has been squashed by 11.25 m