Calculating Work and Distance on an Inclined Plane

In summary, a box with a mass of 4.0kg is pushed up a plane inclined at 30 degrees with a force of 128J. The kinetic friction between the box and the plane is 0.30. Using the equations Fn=MG Cos theta, friction force, and F=mg sin theta, the distance traveled by the box until it stops is calculated to be 13.61 meters. The net retarding force is found to be 19.6N + 10.194N.
  • #1
kanta
3
0

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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  • #2
anyone? pls...
 
  • #3
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
 
  • #4
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
 

1. What is work done along an incline plane?

Work done along an incline plane refers to the amount of energy required to move an object from one point to another on an inclined surface.

2. How is the work done along an incline plane calculated?

The work done along an incline plane is calculated by multiplying the force applied to the object by the distance it is moved along the incline, taking into account the angle of the incline.

3. Does the weight of the object affect the work done along an incline plane?

Yes, the weight of an object does affect the work done along an incline plane. The greater the weight of the object, the more work is required to move it along the incline.

4. What is the relationship between the angle of the incline and the work done along it?

The relationship between the angle of the incline and the work done along it is an inverse relationship. As the angle of the incline increases, the work required to move the object along it decreases.

5. Can the work done along an incline plane be negative?

Yes, the work done along an incline plane can be negative. This occurs when the force applied to the object is in the opposite direction of its movement along the incline, resulting in the object losing energy and decreasing its speed.

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