Question

the object in this diagram has a mass of 2 kg. according to this diagram, what is the acceleration of this object? 0 m/s² 4 m/s² 7 m/s² 11 m/s²

Explanation:

Step1: Calculate the net force

The forces in the vertical direction ($F_{norm}$ and $F_{grav}$) cancel each other out ($20N - 20N=0N$). In the horizontal direction, the net force $F_{net}$ is $F_{app}-F_{frict}$. So, $F_{net}=22N - 14N = 8N$.

Step2: Use Newton's second law

Newton's second law is $F = ma$, where $F$ is the net force, $m$ is the mass, and $a$ is the acceleration. We know $m = 2kg$ and $F_{net}=8N$. Rearranging for $a$ gives $a=\frac{F_{net}}{m}$. Substituting the values: $a=\frac{8N}{2kg}$.

Answer:

$4m/s^{2}$ (the second option)