Final answer:
The acceleration of the block is approximately 1.53 m/s². The correct answer is option: A.) 1.53 m/s/s
Step-by-step explanation:
To calculate the acceleration of the block, we can use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:
F_{net} = ma
The net force can be calculated by subtracting the frictional force from the applied force:
F_{net} = F_{applied} - F_{friction}
Plugging in the values, we get:
30 N - 7 N = 15 kg \times a
Simplifying and solving for acceleration, we find:
a = \frac{30 N - 7 N}{15 kg}
= 1.53 m/s²
Therefore, the acceleration of the object is approximately 1.53 m/s².