Answer:
Option D. 0.061 J
Explanation:
We'll begin by converting 5 cm to m. This can be obtained as follow:
100 cm = 1 m
Therefore,
5 cm = 5 cm × 1 m / 100 cm
5 cm = 0.05 m
Next, we shall convert 250 g to Kg. This can be obtained as follow:
1000 g = 1 Kg
Therefore,
250 g = 250 × 1 Kg / 1000
250 g = 0.25 Kg
Next, we shall determine the weight of the object. This can be obtained as follow:
Mass (m) = 0.25 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Weight (W) =?
W = m × g
W = 0.25 × 9.8
W = 2.45 N
Next, we shall determine the spring constant. This can be obtained as follow:
Compression (e) = 0.05 m
Weight = Force (F) = 2.45 N
Spring constant (K) =?
F = Ke
2.45 = K × 0.05
Divide both side by 0.05
K = 2.45 / 0.05
K = 49 N/m
Finally, we shall determine the potential energy contained in the compressed spring. This can be obtained as follow:
Compression (e) = 0.05 m
Spring constant (K) = 49 N/m
Energy (E) =?
E = ½Ke²
E = ½ × 49 × (0.05)²
E = 24.5 × 0.0025
E = 0.061 J
Therefore, the potential energy contained in the compressed spring is 0.061 J
