Question

6.A 4kg box sits on 3o degree incline. Calculate the normal force, the frictional force, andthe coefficient of friction needed to keep the box from slidding.

Answer 1

Normal force: 33.95 N

Frictional Force: 19.6 N

Coefficient of Friction: 0.57732

Step-by-step explanation:

Fn : Normal Force

Data:

Mass : m = 4 kg = 4 000 g

Angle : 30

Normal force:

`F_N\text{ = m}\cdot g\cdot\cos \theta`
`\begin{gathered} F_N\text{ = 4,000 }\cdot10^(-3)\cdot9.8\cdot\text{ }\cos 30 \\ F_N\text{ }\approx33.95\text{ N} \end{gathered}`

Frictional force & Coefficient of Friction:

Since the box is