41.6k views
0 votes
A 2.4 kg block slides freely across a rough horizontal surface such that the block slows down with an acceleration of -0.8 m/s^2. What is the coefficient of kinetic friction between the block and the surface? (Use g= 10 m/s^2) *

User Deathbob
by
2.7k points

1 Answer

3 votes

Given:

Mass of block = 2.4 kg

Acceleration = -0.8 m/s^2

Let's ifnd the coefficient of kinetic friction,

To find the coefficient of kinteic friction, apply the formula:


\mu=(F)/(N)

Where:

F is frictional force

N is the normal force.

Hence, we have:


\begin{gathered} \mu=(ma)/(mg) \\ \\ \mu=(2.4*(0.8))/(2.4*10) \\ \\ \mu=(1.92)/(24) \\ \\ \mu=0.08 \end{gathered}

Therefore, the coefficient of friction between the block and the surface is 0.08

ANSWER:

0.08

User Gmatht
by
3.6k points