As shown in the figure, a 2.10 kg box is held at rest against a spring with a force constant k = 680 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.35 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d d2 (b) Calculate the magnitude of the friction force (in N). N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer. J
As shown in the figure, a 2.10 kg box is held at rest against a spring with a force constant k = 680 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.35 and is 6.0 cm in length. (a) Calculate the spring's potential energy in terms of d d2 (b) Calculate the magnitude of the friction force (in N). N (c) Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer. J
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 14CQ: If three vectors sum up to zero, si1at geometric condition do they satisfy?
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Question
As shown in the figure, a 2.10 kg box is held at rest against a spring with a force constant k = 680 N/m that is compressed a distance d.
When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction μk = 0.35 and is 6.0 cm in length.
(a)
Calculate the spring's potential energy in terms of d
d2
(b)
Calculate the magnitude of the friction force (in N).
N
(c)
Calculate the work done by the frictional force (in J). Be sure to include the correct sign in your answer.
J
(d)
The speed of the box is 1.9 m/s after sliding across the rough patch. Calculate the initial compression d (in cm) of the spring.
cm
![Equilibrium
position
rough patch
6.0 cm](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2781e0-c799-4ea9-98c6-3cce6e6c83a7%2Fdfeaa6f8-c9c2-4440-873c-a43af1922677%2Fy35pzh9_processed.gif&w=3840&q=75)
Transcribed Image Text:Equilibrium
position
rough patch
6.0 cm
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