A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees. 1. What is the speed of the boulder just as it reaches the bottom of the hill?

A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees. 1. What is the speed of the boulder just as it reaches the bottom of the hill?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A boulder that can be modeled as a sphere rolls down a hill without slipping. The radius of the boulder is 1 meter, the mass of the boulder is 200 kg. The boulder started from rest and rolls 100 meters down the surface of the hill which has a constant slope of 15 degrees.

1. What is the speed of the boulder just as it reaches the bottom of the hill?

2. Since it rolled without slipping there must have been static friction acting on the boulder from the hill. What was the magnitude of the friction force on the boulder? (Hint: The friction force must be the one causing the Torque)

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