Your new designer chair has an S-shaped tubular metal frame that behaves just like a spring with the spring constant 13500 N/m. When your friend, who weighs 910 N, sits on the chair, how far does it bend?
Force=kx
x=force/k=910/13500 meters
0.0674
14.7
To determine how far the chair bends when your friend sits on it, you can use Hooke's Law, which states that the displacement of a spring is directly proportional to the force applied to it.
The formula for Hooke's Law is:
F = k * x
Where:
F is the force applied to the spring
k is the spring constant (in N/m)
x is the displacement or compression of the spring (in meters)
In this case, the force applied to the chair is the weight of your friend, which is 910 N. The spring constant of the chair is given as 13500 N/m.
To find the displacement or compression of the chair, rearrange the formula:
x = F / k
Plug in the values:
x = 910 N / 13500 N/m
x ≈ 0.067 meters
Therefore, the chair bends approximately 0.067 meters or 67 millimeters when your friend sits on it.