Coefficient kinetic friction and kinetic friction

• IssacChook

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

Answers and Replies

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

Sorry, missed out something

the mass of the block is 3.okg

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.