Calculating Work and Distance on an Inclined Plane

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Homework Help Overview

The problem involves calculating the distance a box travels on a 30-degree inclined plane when pushed with a certain amount of work against friction. The box has a mass of 4.0 kg, and the friction coefficient is given as 0.30.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • The original poster attempts to calculate the normal force, frictional force, and net force acting on the box. Some participants question the direction of the frictional force and its impact on the net retarding force.

Discussion Status

Participants are exploring different interpretations of the forces acting on the box. There is a suggestion that the net retarding force should include both the gravitational component and the frictional force. One participant provides a different displacement value, indicating that multiple interpretations are being discussed.

Contextual Notes

There is an urgency expressed by the original poster for assistance, indicating a time constraint in resolving the problem. The discussion includes varying calculations and interpretations of the forces involved.

kanta
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Homework Statement


There is a plane inclined 30degree. A box with 4.0kg mass is pushed up the plane with 128J. The kinetic friction between the plane and the box is 0.30. What is the distance will the box traveled until it stops?


Homework Equations





The Attempt at a Solution


Fn=MG Cos theta
= 4.0 x 9.8 x cos30
= 33.98N

Friction force = 33.98N x 0.30
= 10.194N

F = mg sin theta
= 4 x 9.8 x sin30
= 19.6N

19.6N - 10.194N = 9.406N

E = Fd

128J = 9.406N x d
d = 13.61M


i need help urgently :(
 
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Mass is pushed up the plane. Therefore the frictional force acts in the direction of mg sin theta. Hence net retarding force is = 19.6N + 10.194N
 
rl.bhat said:
Mass is pushed up the plane. Therefore the frictional force acts in the direction of mg sin theta. Hence net retarding force is = 19.6N + 10.194N

yeah, i got that , the displacement is 4.29meter

thx a lot
 

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