There is a 1.3 kg box moving along a horizontal frictionless floor with a velocity of 5.0 m/s. After traveling 2.0 meters it presses against a spring with spring constant 12.5 N/m. By how much will the spring be compressed when the block is at rest? a) How much energy does the system have initially? b) By how much will the spring be compressed when the block is at rest c) If instead of a frictionless surface, a section of the (0.5 meters) floor was replaced by a rougher surface that resulted in a coefficient of friction of 0.3 between the box and the surface. How much work would be done on the block when it travels over this rough surface?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Box and Spring System Problem**

A 1.3 kg box moves along a horizontal, frictionless floor with a velocity of 5.0 m/s. After traveling 2.0 meters, it presses against a spring with a spring constant of 12.5 N/m. By how much will the spring be compressed when the block is at rest?

**Questions:**

a) How much energy does the system have initially?

b) By how much will the spring be compressed when the block is at rest?

c) If instead of a frictionless surface, a section of the (0.5 meters) floor is replaced by a rougher surface with a coefficient of friction of 0.3 between the box and the surface, how much work would be done on the block when it travels over this rough surface?
Transcribed Image Text:**Box and Spring System Problem** A 1.3 kg box moves along a horizontal, frictionless floor with a velocity of 5.0 m/s. After traveling 2.0 meters, it presses against a spring with a spring constant of 12.5 N/m. By how much will the spring be compressed when the block is at rest? **Questions:** a) How much energy does the system have initially? b) By how much will the spring be compressed when the block is at rest? c) If instead of a frictionless surface, a section of the (0.5 meters) floor is replaced by a rougher surface with a coefficient of friction of 0.3 between the box and the surface, how much work would be done on the block when it travels over this rough surface?
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