Fnet = ma Ff = -0.3375/0.08 = -4.219N

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Homework Help Overview

The problem involves calculating the force of friction acting on a box that is shot across the ground using a slingshot. The box has a mass of 0.08 kg, and the slingshot has a spring constant of 60 N/m, with a stretch of 0.15 m. The box slides a distance of 4.22 m before stopping.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of elastic potential energy and its relation to the work done by friction. There are questions about how to calculate the work done by the friction force over a specified distance, with some participants attempting to derive the force of friction from the work-energy principle.

Discussion Status

The discussion is ongoing, with participants verifying calculations and questioning the methodology used in determining the work done by the slingshot and the frictional force. There is no explicit consensus yet, as participants are exploring different interpretations and calculations.

Contextual Notes

Some participants note potential errors in calculations, specifically regarding the elastic potential energy and its application in the context of work done by friction. There is an emphasis on ensuring accurate calculations before proceeding.

CollegeJunior
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Homework Statement



You shoot a 0.08 kg box across the ground with 60 N/m slingshot, stretched back 0.15m. The box slides 4.22m before coming to a stop. What is the force of friction acting on the box as it slides across the ground?

Homework Equations



EPE = 1/2kx^2

The Attempt at a Solution



E1 = 1/2(60)(0.15)^2
E1 = 0.3375J
W = 0 - 0.3375J = -0.3375J
 
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CollegeJunior said:

The Attempt at a Solution



E1 = 1/2(60)(0.15)^2
E1 = 0.3375J
W = 0 - 0.3375J = -0.3375J

Right so all the work done by the slingshot will be opposided by the work done by the frictional force.

How would you calculate the work done by the friction force F with a distance of 4.22 m ?
 
rock.freak667 said:
Right so all the work done by the slingshot will be opposided by the work done by the frictional force.

How would you calculate the work done by the friction force F with a distance of 4.22 m ?

W = F * D, so F = W / D? I got around -0.08 N for force. Is that the Force of Friction?
 
CollegeJunior said:
E1 = 1/2(60)(0.15)^2
E1 = 0.3375J
You seem to have halved twice over.
 
haruspex said:
You seem to have halved twice over.

?
 
CollegeJunior said:
?

Verify your calculation of E1.
 

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