To find the net acceleration of the 10 kg mass, we can apply Newton's second law of motion:

$F_{\text{net}} = m \cdot a$

where:

• $F_{\text{net}}$ is the net force acting on the object,
• $m$ is the mass of the object,
• $a$ is the acceleration.

From the image, the forces acting on the 10 kg mass are 20 N to the right and 5 N to the left.

First, calculate the net force $F_{\text{net}}$:

$F_{\text{net}} = 20 \, \text{N} - 5 \, \text{N} = 15 \, \text{N}$

Now, use Newton's second law to find the acceleration:

$a = \frac{F_{\text{net}}}{m} = \frac{15 \, \text{N}}{10 \, \text{kg}} = 1.5 \, \text{m/s}^2$

Given that the acceleration is $1.5 \, \text{m/s}^2$, we can express this as $1.5 \times 10^{-1} \, \text{m/s}^2$.

So, $x = 1.5$.

If you have any more questions or need further explanation, feel free to ask!

Here are some related questions you might find interesting:

1. What is the significance of Newton's second law in real-world applications?
2. How would the problem change if there were friction involved?
3. How do you determine the direction of the net acceleration?
4. What are the possible effects if the mass was doubled?
5. How do you calculate the net force when multiple forces act at angles?

Tip: Always pay attention to the direction of the forces when applying Newton's laws, as direction significantly influences the net result.