130,288 views
28 votes
28 votes
4. A 45.8 kg block is placed on an inclined plane that is 44.2 degrees from the horizontal. What isthe acceleration of the block? Ignore friction.Challenge Question: 5. The same block in problem #4 is placed on the same inclined plane from problem #4. However, now there is friction. If the coefficient of kinetic friction is 0.25, what is the Friction force?(I already answered question 4, i just need help with question 5)

User Wups
by
2.3k points

1 Answer

25 votes
25 votes

Step-by-step explanation

Step 1

free body diagram

Step 2

sum of the forces on x-axis

a)x


\begin{gathered} F=\text{mg}\cos \text{ }\theta=ma \\ \text{replace} \\ F=\text{ 45.8}\cdot9.81\cdot\cos \text{ 44.2=ma} \\ 322.10=45.8a \\ a=(322.10)/(45.8) \\ a=703\text{ }\frac{\text{m}}{s^2} \end{gathered}

4. A 45.8 kg block is placed on an inclined plane that is 44.2 degrees from the horizontal-example-1
User Jamo
by
2.4k points