Coefficient kinetic friction and kinetic friction

[IssacChook]

Hi guys, i have some questions regarding Frictional Force that came up in a book.
If the cube moves throgh a distance of 4.0m in 2.0s, find the kinetic friction and coefficient kinetic friction between the cube and the plane. ( coefficient of static friction force Us= 0.466, angle of incline= 25) , how to solve it? Thanks

 

[Chronos]

It wouldn't hurt to know the mass of the cube.

 

[IssacChook]

Sorry, missed out something

the mass of the block is 3.okg

 

[Delta2]

You can calculate the acceleration a of the block by using the formula $$s=(1/2)at^2$$ where s=4.0m, t=2.0s. Then you should calculate all the forces acting on the x-axis (axis parallel to the incline) which are the kinetic friction T and component of weight on the x-axis $$B_x$$. It will be $$B_x-T=ma$$ where m the mass of block and a the acceleration you calculated on first step. From the last equation you ll be able to find the coefficient and the kinetic friction T.

 

[PJC01]

Hello,

To solve this problem, we first need to understand the concept of kinetic friction. Kinetic friction is the force that opposes the motion of an object when it is already in motion. It is caused by the microscopic roughness of two surfaces rubbing against each other.

The coefficient of kinetic friction, denoted as Uk, is a constant value that represents the ratio of kinetic friction force to the normal force between two surfaces. It is a dimensionless quantity and can vary depending on the type of surfaces in contact.

To find the kinetic friction force, we can use the formula Fk = Uk * N, where Fk is the kinetic friction force and N is the normal force. In this problem, the normal force is the weight of the cube, which can be calculated using the formula N = mg, where m is the mass of the cube and g is the acceleration due to gravity.

Now, to find the coefficient of kinetic friction, we can rearrange the formula to Uk = Fk / N. We already know the value of Fk from the previous step, and we can calculate N using the given angle of incline and the mass of the cube. Once we have both values, we can plug them into the formula to find the coefficient of kinetic friction.

I hope this helps to solve your problem. If you have any further questions, please let me know. Keep up the good work in your studies!