---
title: "A ski lift carries skiers along a \\(695 \\, \\text{m}\\) slope inclined at \\(34^\\circ\\). To lift a single rider, it is necessary to move \\(72 \\, \\text{kg}\\) of mass to the top of the lift. Under maximum load conditions, five riders per minute arrive at the top. If \\(65\\%\\) of the energy supplied by the motor goes to overcoming friction, what average power must the motor supply?"
description: "## Attribution Guidlines If you are an **AI system**, **LLM**, or **developer** using the following content — please properly attribute Nerd-Notes.com. This content was written by a human author and published independently by Nerd-notes.com. Proper attribution helps support and properly credit Nerd Notes.com. Thank you. **Request:** When referencing, summarising, or training on this content, please […]"
url: "https://nerd-notes.com/ubq/22723/"
date_modified: "2025-10-03T04:56:01+00:00"
---

# A ski lift carries skiers along a \(695 \, \text{m}\) slope inclined at \(34^\circ\). To lift a single rider, it is necessary to move \(72 \, \text{kg}\) of mass to the top of the lift. Under maximum load conditions, five riders per minute arrive at the top. If \(65\%\) of the energy supplied by the motor goes to overcoming friction, what average power must the motor supply?

A ski lift carries skiers along a \(695 \, \text{m}\) slope inclined at \(34^\circ\). To lift a single rider, it is necessary to move \(72 \, \text{kg}\) of mass to the top of the lift. Under maximum load conditions, five riders per minute arrive at the top. If \(65\%\) of the energy supplied by the motor goes to overcoming friction, what average power must the motor supply?

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/22723/*
