---
title: "A crate of mass \\( 10.0 \\) \\( \\text{kg} \\) is pulled up a rough incline with an initial speed of \\( 1.50 \\) \\( \\text{m/s} \\). The pulling force is \\( 100 \\) \\( \\text{N} \\) parallel to the incline, which makes an angle of \\( 20.0^{\\circ} \\) with the horizontal. The coefficient of kinetic friction is \\( 0.400 \\), and the crate is pulled \\( 5.00 \\) \\( \\text{m} \\)."
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/90857/"
date_modified: "2026-08-18T02:39:46+00:00"
---

# A crate of mass \( 10.0 \) \( \text{kg} \) is pulled up a rough incline with an initial speed of \( 1.50 \) \( \text{m/s} \). The pulling force is \( 100 \) \( \text{N} \) parallel to the incline, which makes an angle of \( 20.0^{\circ} \) with the horizontal. The coefficient of kinetic friction is \( 0.400 \), and the crate is pulled \( 5.00 \) \( \text{m} \).

A crate of mass \( 10.0 \) \( \text{kg} \) is pulled up a rough incline with an initial speed of \( 1.50 \) \( \text{m/s} \). The pulling force is \( 100 \) \( \text{N} \) parallel to the incline, which makes an angle of \( 20.0^{\circ} \) with the horizontal. The coefficient of kinetic friction is \( 0.400 \), and the crate is pulled \( 5.00 \) \( \text{m} \).

**Part a)** How much work is done by the gravitational force on the crate? *(3 points)*

**Part b)** Determine the increase in internal energy of the crate–incline system owing to friction. *(3 points)*

**Part c)** How much work is done by the \( 100 \) \( \text{N} \) force on the crate? *(3 points)*

**Part d)** What is the change in kinetic energy of the crate? *(3 points)*

**Part e)** What is the speed of the crate after being pulled \( 5.00 \) \( \text{m} \)? *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/90857/*