elynnea4xl

2023-02-21

A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing the spring a distance of 0.20 m (figure). When released, the block moves on a horizontal table top for 1.00 m before coming to rest. The spring constant k is 100 N/m What, is the coefficient of kinetic friction, μk, between the block and the table?

Audrina Donaldson

$⇒{W}_{net}=0\phantom{\rule{0ex}{0ex}}{W}_{spring}+{W}_{friction}=0\phantom{\rule{0ex}{0ex}}\frac{1}{2}k{x}^{2}={\mu }_{k}mgl\phantom{\rule{0ex}{0ex}}{\mu }_{k}=\frac{\left(\frac{1}{2}\right)k{x}^{2}}{mgl}\phantom{\rule{0ex}{0ex}}{\mu }_{k}=0.40$