---
title: "A ski tow carries people to the top of a nearby mountain. It operates on a slope of angle \\( 15.7^\\circ \\) of length \\( 260 \\) \\( \\text{m} \\). The rope moves at a speed of \\( 13.0 \\) \\( \\text{km/h} \\) and provides power for \\( 54 \\) riders at one time, with an average mass per rider of \\( 67.0 \\) \\( \\text{kg} \\)."
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url: "https://nerd-notes.com/ubq/80997/"
date_modified: "2025-09-17T05:11:29+00:00"
---

# A ski tow carries people to the top of a nearby mountain. It operates on a slope of angle \( 15.7^\circ \) of length \( 260 \) \( \text{m} \). The rope moves at a speed of \( 13.0 \) \( \text{km/h} \) and provides power for \( 54 \) riders at one time, with an average mass per rider of \( 67.0 \) \( \text{kg} \).

A ski tow carries people to the top of a nearby mountain. It operates on a slope of angle \( 15.7^\circ \) of length \( 260 \) \( \text{m} \). The rope moves at a speed of \( 13.0 \) \( \text{km/h} \) and provides power for \( 54 \) riders at one time, with an average mass per rider of \( 67.0 \) \( \text{kg} \).

**Part a)** Estimate the power required to operate the tow. Express your answer in watts. *(3 points)*

**Part b)** If the input power were to double, how much **faster** will the riders reach the top of the mountain? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/80997/*