One

2) Ben stands on a bathroom scale, whose force (spring) constant is 220 kN/m. How far is the spring

scale compressed if Ben has a mass of 180kg?

8.0 mm

Explanation:

Force of a spring is:

F = kx

where k is the spring constant and x is the displacement.

When the force is equal to Ben's weight:

mg = kx

(180 kg) (9.8 m/s²) = (220,000 N/m) x

x = 0.0080 m

The spring compresses 0.0080 m, or 8.0 mm.