A mass m = 14 kg rests on a frictionless table and accelerated by a springwith spring constant k = 5021 N/m. The floor is frictionless except for arough patch. For this rough path, the coefficient of friction is HK = 0.41.The mass leaves the spring at a speed v = 3.1 m/s.1) How much work is done by the spring as it accelerates the mass?2) How far was the spring stretched from its unstreched length?m Submit3) The mass is measured to leave the rough spot with a final speed v₁ = 1.5m/s.How much work is done by friction as the mass crosses the rough spot?Submit4) What is the length of the rough spot?m Submit7)Submit5) In a new scenario, the block only makes it (exactly) half-way through therough spot. How far was the spring compressed from its unstretchedlength?Othe sameOthree times greaterOthree times less6) In this new scenario, what would the coefficient of friction of the roughpatch need to be changed to in order for the block to just barely make itthrough the rough patch?Onine times greaterOnine times lessSubmitm Submit+SubmitReturn to a scenario where the blcok makes it throgh the entire roughpatch. If the rough patch is lengthened to a distance of three times longer,as the block slides through the entire distance of the rough patch, themagnitude of the work done by the force of friction is:+

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A mass m = 14 kg rests on a frictionless table and accelerated by a spring with spring constant k = 5021 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is Hk = 0.41. The mass leaves the spring at a speed v = 3.1 m/s. 1) How much work is done by the spring as it accelerates the mass? J Submit 2) How far was the spring stretched from its unstreched length? m Submit 3) The mass is measured to leave the rough spot with a final speed v₁ = 1.5 m/s. How much work is done by friction as the mass crosses the rough spot? J Submit

A mass m = 14 kg rests on a frictionless table and accelerated by a spring with spring constant k = 5021 N/m. The floor is frictionless except for a rough patch. For this rough path, the coefficient of friction is Hk = 0.41. The mass leaves the spring at a speed v = 3.1 m/s. 1) How much work is done by the spring as it accelerates the mass? J Submit 2) How far was the spring stretched from its unstreched length? m Submit 3) The mass is measured to leave the rough spot with a final speed v₁ = 1.5 m/s. How much work is done by friction as the mass crosses the rough spot? J Submit

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter9: Energy In Nonisolated Systems

Section: Chapter Questions

Problem 28PQ

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Question

A mass m = 14 kg rests on a frictionless table and accelerated by a spring
with spring constant k = 5021 N/m. The floor is frictionless except for a
rough patch. For this rough path, the coefficient of friction is HK = 0.41.
The mass leaves the spring at a speed v = 3.1 m/s.
1) How much work is done by the spring as it accelerates the mass?
2) How far was the spring stretched from its unstreched length?
m Submit
3) The mass is measured to leave the rough spot with a final speed v₁ = 1.5
m/s.
How much work is done by friction as the mass crosses the rough spot?
Submit
4) What is the length of the rough spot?
m Submit
7)
Submit
5) In a new scenario, the block only makes it (exactly) half-way through the
rough spot. How far was the spring compressed from its unstretched
length?
Othe same
Othree times greater
Othree times less
6) In this new scenario, what would the coefficient of friction of the rough
patch need to be changed to in order for the block to just barely make it
through the rough patch?
Onine times greater
Onine times less
Submit
m Submit
+
Submit
Return to a scenario where the blcok makes it throgh the entire rough
patch. If the rough patch is lengthened to a distance of three times longer,
as the block slides through the entire distance of the rough patch, the
magnitude of the work done by the force of friction is:
+

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