# If an object is moving at #50 m/s# over a surface with a kinetic friction coefficient of #u_k=2 /g#, how far will the object continue to move?

##### 2 Answers

#### Explanation:

Because of kinetic frictional force,the object will undergo constant deceleration.

So,to find upto what length it will go,we can apply the relation between velocity (

i.e

Now, frictional force acting is

So, deceleration i.e

Putting in the equation and also putting

So,we get,

Or,

The distance is

#### Explanation:

The coefficient of kinetic friction is

The mass of the object is

The acceleration due to gravity is

The normal reaction is

Therefore,

According to Newton's Second Law

The acceleration is

The coefficient of kinetic friction is

The initial velocity is

The final velocity is

Apply the equation of motion

The distance is