Final answer:
The object with a mass of 0.5 kg being pulled by forces of 2 N and 8 N to the right and 4 N to the left will have an acceleration of 12 m/s² to the right.
Step-by-step explanation:
To calculate the acceleration of an object when multiple forces are acting on it, we need to apply Newton's second law of motion, which states that the force on an object is equal to its mass multiplied by its acceleration (F = ma). First, let's find the net force acting on the object by subtracting the force pulling to the left from the sum of forces pulling to the right:
Net force = (2 N + 8 N) - 4 N = 10 N - 4 N = 6 N
Now, using the formula from Newton's second law, we can solve for acceleration:
a = F / m
a = 6 N / 0.5 kg = 12 m/s²
Therefore, the object with a mass of 0.5 kg would have an acceleration of 12 m/s² to the right.