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.