When you push the wall with a force of 40 N, the wall pushes back on you with an equal and opposite force due to Newton's third law of motion. Thus, the wall pushes back on you with a force of 40 N.
To find your acceleration, we can use Newton's second law of motion, which states that \( F = ma \), where \( F \) is the force applied, \( m \) is the mass, and \( a \) is the acceleration.
Given:
- Force (\( F \)) = 40 N
- Mass (\( m \)) = 80 kg
We can rearrange the equation to solve for acceleration (\( a \)):
\[ a = \frac{F}{m} \]
Substituting the given values:
\[ a = \frac{40 \, \text{N}}{80 \, \text{kg}} \]
\[ a = 0.5 \, \text{m/s}^2 \]
So, your acceleration would be \( 0.5 \, \text{m/s}^2 \).