b. Let the box start at , and let be the time the box first starts moving. · OlympiadBench #1383
Physics · mechanics
Problem
b. Let the box start at x=0, and let t=0 be the time the box first starts moving. Find the acceleration of the box in terms of x,t,v0,s, and the other parameters, while the box is moving.
Given constants:
## Toffee Pudding
A box of mass m is at rest on a horizontal floor. The coefficients of static and kinetic friction between the box and the floor are μ0 and μ (less than μ0 ), respectively. One end of a spring with spring constant k is attached to the right side of the box, and the spring is initially held at its relaxed length. The other end of the spring is pulled horizontally to the right with constant velocity v0. As a result, the box will move in fits and starts. Assume the box does not tip over.
Context question:
a. Calculate the distance s that the spring is stretched beyond its rest length when the box is just about to start moving.
Context answer:
s=μ0mg/k