---
title: "A \\(100 \\, \\text{kg}\\) person is riding a \\(10 \\, \\text{kg}\\) bicycle up a \\(25^\\circ\\) hill. The hill is long and the coefficient of static friction is \\(0.9\\). The person rides \\(10 \\, \\text{m}\\) up the hill then takes a rest at the top. If she then starts from rest from the top of the hill and rolls down a distance of \\(7 \\, \\text{m}\\) before squeezing hard on the brakes locking the wheels, how much work is done by friction to bring the bicycle to a full stop, knowing that the coefficient of kinetic friction is \\(0.65\\)?"
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url: "https://nerd-notes.com/ubq/21974/"
date_modified: "2025-11-04T18:14:50+00:00"
---

# A \(100 \, \text{kg}\) person is riding a \(10 \, \text{kg}\) bicycle up a \(25^\circ\) hill. The hill is long and the coefficient of static friction is \(0.9\). The person rides \(10 \, \text{m}\) up the hill then takes a rest at the top. If she then starts from rest from the top of the hill and rolls down a distance of \(7 \, \text{m}\) before squeezing hard on the brakes locking the wheels, how much work is done by friction to bring the bicycle to a full stop, knowing that the coefficient of kinetic friction is \(0.65\)?

A \(100 \, \text{kg}\) person is riding a \(10 \, \text{kg}\) bicycle up a \(25^\circ\) hill. The hill is long and the coefficient of static friction is \(0.9\). The person rides \(10 \, \text{m}\) up the hill then takes a rest at the top. If she then starts from rest from the top of the hill and rolls down a distance of \(7 \, \text{m}\) before squeezing hard on the brakes locking the wheels, how much work is done by friction to bring the bicycle to a full stop, knowing that the coefficient of kinetic friction is \(0.65\)?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/21974/*