Final answer:
The magnitude of the acceleration of the block is 6.0 m/s².
Step-by-step explanation:
The magnitude of the acceleration of the block can be determined using the equation F=ma, where F is the net force acting on the block, m is the mass of the block, and a is the acceleration.
In this case, the net force is the sum of the two forces acting on the block, which have magnitudes of 30.0 N each. The mass of the block is given as 10.0 kg.
Using the equation F=ma, we can calculate the acceleration as follows:
a = F/m = (30.0 N + 30.0 N) / 10.0 kg = 6.0 m/s²
Therefore, the magnitude of the acceleration of the block is 6.0 m/s².