a. Calculate the distance that the spring is stretched beyond its rest... · OlympiadBench #1382

Physics · mechanics

Problem

a. Calculate the distance

s

that the spring is stretched beyond its rest length when the box is just about to start 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

\mu_{0}

and

\mu

(less than

\mu_{0}

), 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

v_{0}

. As a result, the box will move in fits and starts. Assume the box does not tip over.

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