A force F that is at an angle 60° above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work W as the box moves a distance d. Part A At what angle 0 above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box? Express your answer in degrees. ANSWER: = Part B If the angle is kept at 60° and the box is initially at rest, by what factor n would F have to be increased to double the final speed of the box after moving distance d? Assume that factored force is still small enough so that the box will not leave the surface. Express your answer as exact number. ANSWER: n =
A force F that is at an angle 60° above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work W as the box moves a distance d. Part A At what angle 0 above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box? Express your answer in degrees. ANSWER: = Part B If the angle is kept at 60° and the box is initially at rest, by what factor n would F have to be increased to double the final speed of the box after moving distance d? Assume that factored force is still small enough so that the box will not leave the surface. Express your answer as exact number. ANSWER: n =
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)...
Related questions
Question
Please answer.
![### Force Applied to a Box on a Frictionless Surface
A force \( \vec{F} \) that is at an angle \( 60^\circ \) above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work \( W \) as the box moves a distance \( d \).
---
#### Part A
**Question:**
At what angle \( \theta \) above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box?
**Express your answer in degrees.**
**ANSWER:**
\[ \theta = \quad \text{\Large\underline{\hspace{100px}}}^\circ \]
---
#### Part B
**Question:**
If the angle is kept at \( 60^\circ \) and the box is initially at rest, by what factor \( n \) would \( F \) have to be increased to double the final speed of the box after moving distance \( d \)? Assume that the factored force is still small enough so that the box will not leave the surface.
**Express your answer as an exact number.**
**ANSWER:**
\[ n = \quad \text{\Large\underline{\hspace{100px}}} \]
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F74279ea1-eff5-4403-94c6-eaa833f0d034%2F6fce292f-2813-4500-b119-993db3fecf13%2F4gu7b5b.png&w=3840&q=75)
Transcribed Image Text:### Force Applied to a Box on a Frictionless Surface
A force \( \vec{F} \) that is at an angle \( 60^\circ \) above the horizontal is applied to a box that moves on a horizontal frictionless surface, and the force does work \( W \) as the box moves a distance \( d \).
---
#### Part A
**Question:**
At what angle \( \theta \) above the horizontal would the force have to be directed in order for twice the work to be done for the same displacement of the box?
**Express your answer in degrees.**
**ANSWER:**
\[ \theta = \quad \text{\Large\underline{\hspace{100px}}}^\circ \]
---
#### Part B
**Question:**
If the angle is kept at \( 60^\circ \) and the box is initially at rest, by what factor \( n \) would \( F \) have to be increased to double the final speed of the box after moving distance \( d \)? Assume that the factored force is still small enough so that the box will not leave the surface.
**Express your answer as an exact number.**
**ANSWER:**
\[ n = \quad \text{\Large\underline{\hspace{100px}}} \]
---
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON