An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 25.0 kg, a radius of 0.260 m, and a length of 0.650 m. The mass of the end of the barrel equals a fifth of the mass of its side, and the thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s². What is the translational speed up of the barrel at the bottom of the hill if released from rest at a height of 33.0 m above the bottom? Uf = 61.25 m/s Suppose a lid was added to the barrel that had the same mass as its other end. Would adding the lid to the barrel increase, decrease, or not change the barrel's speed at the bottom of the hill if the barrel was released from the same height? Explain. The speed would decrease because the barrel's overall moment of inertia is increased, resulting in more of the initial potential energy being converted to rotational rather than translational kinetic energy. The speed would not change because mass terms ultimately cancel in the energy conservation equations, resulting in kinematic expressions that are independent of mass. The speed would increase because the distribution of the additional mass results in a fractional increase in the barrel's translational kinetic energy over its rotational kinetic energy.

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)...

See similar textbooks

Related questions

Concept explainers

Question

An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 25.0 kg, a radius of 0.260 m, and a length of 0.650 m. The mass of the end of the barrel equals a fifth of the mass of its side, and the thickness of the barrel is negligible. The acceleration due to gravity is ?=9.80 m/s2.

What is the translational speed ?f

of the barrel at the bottom of the hill if released from rest at a height of 33.0 m above the bottom?

Ⓒ Macmillan Learning
An empty cylindrical barrel is open at one end and rolls without slipping straight down a hill. The barrel has a mass of 25.0 kg,
a radius of 0.260 m, and a length of 0.650 m. The mass of the end of the barrel equals a fifth of the mass of its side, and the
thickness of the barrel is negligible. The acceleration due to gravity is g = 9.80 m/s².
What is the translational speed Uf of the barrel at the bottom of the hill if released from rest at a height of 33.0 m above
the bottom?
Uf =
61.25
m/s
Suppose a lid was added to the barrel that had the same mass as its other end. Would adding the lid to the barrel increase,
decrease, or not change the barrel's speed at the bottom of the hill if the barrel was released from the same height? Explain.
The speed would decrease because the barrel's overall moment of inertia is increased, resulting in more of the initial
potential energy being converted to rotational rather than translational kinetic energy.
The speed would not change because mass terms ultimately cancel in the energy conservation equations, resulting in
kinematic expressions that are independent of mass.
The speed would increase because the distribution of the additional mass results in a fractional increase in the barrel's
translational kinetic energy over its rotational kinetic energy.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions