the object in this diagram has a mass of 2 kg. according to this diagram, what is the acceleration of this…

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

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

Answer

Explanation:

Step1: Calculate the net force in the horizontal direction

The normal force (F_{nom}) and gravitational force (F_{grav}) cancel each other out ((F_{nom}=F_{grav} = 20N)). For the horizontal forces, the applied force (F_{app}=22N) and frictional force (F_{frict}=14N). The net force (F_{net}) is (F_{app}-F_{frict}). [F_{net}=22 - 14=8N]

Step2: Use Newton's second law (F = ma) to find acceleration (a)

Given (m = 2kg) and (F_{net}=8N), we solve for (a) using the formula (a=\frac{F_{net}}{m}). [a=\frac{8}{2}=4m/s^{2}]

Answer:

(4m/s^{2})