As shown in Figure 1, a block with mass m = 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax. 1 K = =mv² Ug = mgy 1 Delta x (cm) = 49.25 U, = żK(Ax)? F = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Wext = Fext Cos 0 Ax Wext = (K – Ko) + (U – U.) Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic friction µg and length d = 5.5 m. d Figure 1. Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m above the surface. There is no friction between C and D. a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use conservation of energy between positions A and B to calculate the value of the spring constant k (in N/m). b) The block's velocity when it reaches position C is vc- v. (m/s) = 6.45 Use conservation of energy between positions B and C to calculate the coefficient of kinetic friction Hk- c) Use conservation of energy between positions C and D to calculate the block's velocity (in m/s) when it reaches position D.
As shown in Figure 1, a block with mass m = 3.5 kg is placed on a horizontal surface at position A, where it compresses a spring with spring constant k by a displacement Ax. 1 K = =mv² Ug = mgy 1 Delta x (cm) = 49.25 U, = żK(Ax)? F = HkN The mass is released from rest at position A, and the spring expands until the block leaves the spring at position B. There is no friction between A and B. Wext = Fext Cos 0 Ax Wext = (K – Ko) + (U – U.) Between positions B and C, the block travels over a flat, rough surface having a coefficient of kinetic friction µg and length d = 5.5 m. d Figure 1. Between positions C and D, the block climbs a curved ramp until it reaches position D, a height h = 2.0 m above the surface. There is no friction between C and D. a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use conservation of energy between positions A and B to calculate the value of the spring constant k (in N/m). b) The block's velocity when it reaches position C is vc- v. (m/s) = 6.45 Use conservation of energy between positions B and C to calculate the coefficient of kinetic friction Hk- c) Use conservation of energy between positions C and D to calculate the block's velocity (in m/s) when it reaches position D.
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
Can you help me solve these equations?
![As shown in Figure 1, a block with mass
m = 3.5 kg is placed on a horizontal surface at
position A, where it compresses a spring with
spring constant k by a displacement Ax.
K = :
= mgy
Us
Delta x (cm) = 49.25
U, = -k(ax)?
Fr = HkN
The mass is released from rest at position A, and
the spring expands until the block leaves the
spring at position B. There is no friction between
A and B.
Wext = Fext Cos 0 Ax
Wext = (K – Ko) + (U – U.)
Between positions B and C, the block travels over a flat, rough surface having a
coefficient of kinetic friction µg and length d = 5.5 m.
k
h
m
d
Figure 1.
Between positions C and D, the block climbs a curved ramp until it reaches position
D, a height h = 2.0 m above the surface. There is no friction between C and D.
a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use
conservation of energy between positions A and B to calculate the value of the
spring constant k (in N/m).
b) The block's velocity when it reaches position C is vc.
ve (m/s)
: 6.45
Use conservation of energy between positions B and C to calculate the coefficient
of kinetic friction µx-
c) Use conservation of energy between positions C and D to calculate the block's
velocity (in m/s) when it reaches position D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65e9754d-e7bf-4951-a913-18b478a6d2d4%2F69ff1382-609e-4add-aabf-91599c50d8f7%2Fklns414_processed.png&w=3840&q=75)
Transcribed Image Text:As shown in Figure 1, a block with mass
m = 3.5 kg is placed on a horizontal surface at
position A, where it compresses a spring with
spring constant k by a displacement Ax.
K = :
= mgy
Us
Delta x (cm) = 49.25
U, = -k(ax)?
Fr = HkN
The mass is released from rest at position A, and
the spring expands until the block leaves the
spring at position B. There is no friction between
A and B.
Wext = Fext Cos 0 Ax
Wext = (K – Ko) + (U – U.)
Between positions B and C, the block travels over a flat, rough surface having a
coefficient of kinetic friction µg and length d = 5.5 m.
k
h
m
d
Figure 1.
Between positions C and D, the block climbs a curved ramp until it reaches position
D, a height h = 2.0 m above the surface. There is no friction between C and D.
a) The block's velocity when it reaches position B is vg = 9.65 m/s. Use
conservation of energy between positions A and B to calculate the value of the
spring constant k (in N/m).
b) The block's velocity when it reaches position C is vc.
ve (m/s)
: 6.45
Use conservation of energy between positions B and C to calculate the coefficient
of kinetic friction µx-
c) Use conservation of energy between positions C and D to calculate the block's
velocity (in m/s) when it reaches position D.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON