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
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Author:Katz, Debora M.
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Chapter9: Energy In Nonisolated Systems
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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?
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:
+
Transcribed Image Text: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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