Answer:
a = 0.23 [m/s²]
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
F = forces applied [N]
m = mass = 30 [kg]
a = acceleration [m/s²]
Now we can use Newton's second law, with forces pointing to the right as positives and negative forces pointing towards the left.
[tex]12 - 5 = 30*a\\7 = 30*a\\a = 0.23 [m/s^{2} ][/tex]