Final answer:
The force constant of the car's rear suspension is approximately 753 N/m. (option c)
Step-by-step explanation:
The force constant (spring constant) can be determined using Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position.
Mathematically, this is expressed as F = −k ⋅ x, where F is the force, k is the force constant, and x is the displacement.
In this case, the force exerted by the suspension is the weight of the box, given by F = m ⋅ g, where m is the mass and g is the acceleration due to gravity. The displacement x is the decrease in height of the bumper.
The force constant k can be calculated as k = m⋅g/x
Substituting the given values, we get
k = 110kg ⋅ 9.8m/s²/0.13m , which is approximately 753 N/m.
k = 110kg ⋅ 9.8m/s²/0.13m ≈ 753N/m
The force constant of the car's rear suspension is approximately 753 N/m, leading to the correct answer, option c.