According to Newton's second law of motion, the acceleration (a) of an object is directly proportional to the applied force (F) and inversely proportional to the mass (m) of the object. The relationship is expressed as:

```

a = F / m

```

In this case, the force applied (F) is 500 N, and the mass of the block (m) is 50 kg. Substituting these values in the formula, we can calculate the acceleration (a) as:

```

a = 500 N / 50 kg

a = 10 m/s²

```

Therefore, the acceleration of the 50 kg block is 10 meters per second squared (10 m/s²).