d. Using your knowledge of the kinematic equations, determine an expression for the object's speed at the bottom of the hill. This should be in terms of some of all of given known variables m, h, L, g, 0 and uk. e. Suppose a snowboarder slides down a ski slope of height h = 12.0 m, length L= 100 m and the coefficient of kinetic friction between their board and the snow is Hik= 0.07. What is the snowboarder's speed at the bottom of the hill? Suppose this snowboarder has a little sister who is half the mass of her older sibling. What is the little sister's speed at the bottom of the hill? Does your result make sense? Explain.

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)...
icon
Related questions
Question

Solve Part d and Part e

1. An object of mass m rests at the top of a smooth slope of height h, length L and
angle 0. The coefficient of kinetic friction uk is small enough that once the object is
given a small push, it will slide down the slope.
a. Sketch the physical situation, choose a coordinate system and draw a free body
diagram for the object. List the knowns and unknowns. (Hint: choosing a coordinate
system that is aligned with the motion of the object will make calculations easier.)
b. Write down Newton's Second Law for the y motion of the object. Using this
determine an expression for the magnitude of the normal force.
c. Write down Newton's Second law for the x motion of the object. Using this, and
your result from part b, determine an expression for the acceleration of the object
down the slope.
d. Using your knowledge of the kinematic equations, determine an expression for the
object's speed at the bottom of the hill. This should be in terms of some of all of
given known variables m, h, L, g, 0 and µk.
e. Suppose a snowboarder slides down a ski slope of height h = 12.0 m, length L=
100 m and the coefficient of kinetic friction between their board and the snow is
Hk= 0.07. What is the snowboarder's speed at the bottom of the hill? Suppose this
snowboarder has a little sister who is half the mass of her older sibling. What is the
little sister's speed at the bottom of the hill? Does your result make sense? Explain.
Transcribed Image Text:1. An object of mass m rests at the top of a smooth slope of height h, length L and angle 0. The coefficient of kinetic friction uk is small enough that once the object is given a small push, it will slide down the slope. a. Sketch the physical situation, choose a coordinate system and draw a free body diagram for the object. List the knowns and unknowns. (Hint: choosing a coordinate system that is aligned with the motion of the object will make calculations easier.) b. Write down Newton's Second Law for the y motion of the object. Using this determine an expression for the magnitude of the normal force. c. Write down Newton's Second law for the x motion of the object. Using this, and your result from part b, determine an expression for the acceleration of the object down the slope. d. Using your knowledge of the kinematic equations, determine an expression for the object's speed at the bottom of the hill. This should be in terms of some of all of given known variables m, h, L, g, 0 and µk. e. Suppose a snowboarder slides down a ski slope of height h = 12.0 m, length L= 100 m and the coefficient of kinetic friction between their board and the snow is Hk= 0.07. What is the snowboarder's speed at the bottom of the hill? Suppose this snowboarder has a little sister who is half the mass of her older sibling. What is the little sister's speed at the bottom of the hill? Does your result make sense? Explain.
Expert Solution
Step 1

d. Let's make diagram according to the situation.

Physics homework question answer, step 1, image 1

Let 

m= mass of an object

h= intial height

L = distance travelled along slope

@= anlgle of inclination

uk= coefficient of kinetic friction

To find ,

An expression of speed of an object at the bottom of the hill.

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Third law of motion
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON