Answer:
k = 51.09 N/m
Explanation:
Given,
mass, m₁ = 0.3 Kg
length of spring, x₁ = 0.27 m
Mass, m₂ = 2.80 Kg
Length of spring, x₂ = 0.750
We know that
Restoring force, F = k x
Gravitation force, F = m g
Now,
m₁ g = k x₁ ......(1)
And
m₂ g = k x₂ .......(2)
where k is spring constant
Subtracting equation (2)- (1)
(m₂-m₁)g = k(x₂-x₁)
(2.8-0.3) x 9.81 = k (0.75 - 0.27)
24.525 = k x 0.48
k = 51.09 N/m
Hence, spring constant is 51.09 N/m.
