What is the work done by friction on a sliding box?

In summary, the box of mass 12 kg slides at a speed of 10 m/s across a smooth level floor and enters a rough portion 3.0 m in length. The box experiences a horizontal friction force of 72N and a net force of 189.6N. To find the work done by the frictional force, we can use the equation Work = Force x Displacement. The velocity of the box when it leaves the rough surface can be determined by calculating the net force divided by the mass, which is 15.8 m/s. To find the length of rough surface that brings the box completely to rest, we can use the equation Work = Force x Distance, where the force is equal to the net
  • #1
tiffanyg
11
0
1. a box of mass 12 kg slides at a speed of 10 m/s acros a smooth level floor, where it enters a rough portion 3.0 m in length. In the rough portion, the box experiences a horizontal friction force of 72N.

a) how much work is done by the frictional force?
b) what is the velocity of the box when it leaves the rough surface?
c) what length of rough surface brings the box coompletely to rest?

Since, I got stuck in the first question...i tried this:

F net= ff+fn
fnet = 72 n+ mg

fnet= 189.6 n

fnet/m = a

a= 15.8 ---> i don't know if a is right...
 
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  • #2
Ok the first part asks how much work is being done. Work is normally measured in Joules. Try the equation Work = Force x Displacement .
 

What is the definition of "Forces on a sliding box"?

Forces on a sliding box refer to the physical interactions that affect the motion of a box as it slides across a surface. These forces can include friction, gravity, and applied forces.

How do forces affect the motion of a sliding box?

Forces can either cause the box to accelerate or decelerate, depending on the direction and magnitude of the force. In the absence of any external forces, the box will continue to slide at a constant velocity due to the principle of inertia.

What is the role of friction in the forces on a sliding box?

Friction is the force that opposes the motion of the box and is caused by the interaction between the surfaces of the box and the surface it is sliding on. Friction can either slow down or stop the box from sliding, depending on its direction and magnitude.

How does the weight of the box affect the forces on a sliding box?

The weight of the box, which is a product of its mass and the acceleration due to gravity, exerts a downward force on the box. This force, also known as the weight force, can affect the motion of the box by either increasing or decreasing the normal force between the box and the surface it is sliding on.

What are some common applications of studying forces on a sliding box?

Understanding forces on a sliding box is crucial in various fields such as physics, engineering, and sports. It can help in designing efficient transportation systems, improving the performance of sports equipment, and predicting the motion of objects in different scenarios.

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