To determine the acceleration of the object, we need to analyze the forces acting on it and apply Newton's second law of motion, which states that \( F_{\text{net}} = m \cdot a \).
-
Identify the forces:
- The object has a normal force (\( F_{\text{norm}} \)) acting upwards, which is 20 N.
- The gravitational force (\( F_{\text{grav}} \)) acting downwards, which is also 20 N.
- The applied force (\( F_{\text{app}} \)) to the right, which is 22 N.
- The friction force (\( F_{\text{frict}} \)) to the left, which is 14 N.
-
Determine the net force in the horizontal direction:
- To calculate the net force, we subtract the friction force from the applied force: \[ F_{\text{net}} = F_{\text{app}} - F_{\text{frict}} = 22, \text{N} - 14, \text{N} = 8, \text{N} \]
-
Calculate the acceleration:
- Using Newton's second law (\( F_{\text{net}} = m \cdot a \)): \[ a = \frac{F_{\text{net}}}{m} = \frac{8, \text{N}}{2, \text{kg}} = 4, \text{m/s}^2 \]
So, the acceleration of the object is \( 4 , \text{m/s}^2 \).
Therefore, the correct response is 4 m/s².