© Copyright, Department of Physics, University of Illinois at Urbana-Champaign

Block on Spring

A block of mass M = 10 kg is supported by a heavy rod on an incline of angle θ = 30 o.
The block is attached to a spring of length d = 2.2 meters which is relaxed (at equilibrium). The top of the spring is nailed to the incline.
The support rod is removed and the block slides down along the incline until the spring stretches to length d+D and stops.

The spring constant is k=49.05 N/m. Assume that there is no friction anywhere in the system.
How much does the spring stretch?
Use g = 9.81;

D = m