---
title: "A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR^2."
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url: "https://nerd-notes.com/ubq/30001/"
date_modified: "2024-05-05T10:30:36+00:00"
---

# A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by I= (2/5)MR^2.

A solid sphere of mass \( 1.5 \, \text{kg} \) and radius \( 15 \, \text{cm} \) rolls without slipping down a \( 35^\circ\) incline that is \( 7 \, \text{m} \) long. Assume it started from rest. The moment of inertia of a sphere is \( I= \frac{2}{5}MR^2 \).

**Part a)** Calculate the linear speed of the sphere when it reaches the bottom of the incline. *(3 points)*

**Part b)** Determine the angular speed of the sphere at the bottom of the incline. *(1 points)*

**Part c)** Does the linear speed depend on the radius or mass of the sphere? *(1 points)*

**Part d)** Does the angular speed depend on the radius or mass of the sphere? *(1 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/30001/*