Answer:
0.2695 N/m
Explanation:
Applying,
F = ke................. Equation 1
Where F = Force on the spring, k = spring constant, e = extension.
make k the subject of the equation
k = F/e............ Equation 2
But,
F = mg................. Equation 3
Where m = mass, g = acceleration due to gravity
Substitute equation 3 into equation 2
k = mg/e................... Equation 4
From the question,
Given: m = 55 g = 0.055 kg, e = 2 m
Constant: g = 9.8 m/s²
Substitute these values into equation 4
k = (0.055×9.8)/2
k = 0.2695 N/m