An object is attached to a vertical spring and slowly lowered to its equilibrium position. This stretches the spring by an amount d. If the same object is attached to the same vertical spring but permitted to fall instead, through what maximum distance does it stretch the spring?

A person who weighs 760 N steps onto a spring scale in the bathroom, and the spring compresses by 0.635 cm. (a) What is the spring constant? (b) What is the weight of another person who compresses the spring by 0.314 cm?

The cable of a 1170 kg elevator cab shown in the figure below snaps when the cab is at rest at a height ?=22.9m above a spring with spring constant ?=9.08×10^4N/m. Additionally a constant friction force created by the clamps sliding along the guide rails is experienced by the cab as it moves in the shaft with strength ?f=8.14×10^3N. (a) What isthe maximum distance xthe spring compresses? (b) What is the maximum acceleration experienced by the elevator during its movement described in the problem? Assume no static friction acting on the cab since we can imagine the clamps not engaging until the moment after the cab begins to fall. Also, note that the clamps stay engaged the whole time, including while the spring is being compressed and while the elevator is bouncing back up.

A vertical spring 0.100 meter long is stretched to a length of 1.25 meters when a 2 kilogram mass is attached to the bottom. What is the correct value for the spring constant of this spring?