Let's break down the problem step by step.
Step 1: Labeling the Forces
To have a Net Force of 300 N to the right, we can assume that one wrestler is exerting a force to the right, and the other wrestler is exerting a force to the left.
Let's denote the forces as follows:
- Force exerted by the wrestler on the right (F_right): +300 N (to the right)
- Force exerted by the wrestler on the left (F_left): -0 N (since 300 N to the right indicates that the left wrestler isn't exerting enough force to counteract it effectively).
So, when you fill in the boxes for the forces acting in the horizontal direction, it would look like this:
- F_right = 300 N (to the right)
- F_left = 0 N (no opposition mentioned)
Step 2: Calculating the Acceleration
Now we need to find the acceleration of the wrestler on the right. We can use Newton's second law, which states:
\[ F_{net} = m \cdot a \]
Where:
- \( F_{net} = 300 , N \) (the net force acting on the 150 kg wrestler)
- \( m = 150 , kg \) (the mass of the wrestler)
- \( a \) is the acceleration we need to find.
Rearranging the equation for acceleration:
\[ a = \frac{F_{net}}{m} \]
Substituting the values:
\[ a = \frac{300 , N}{150 , kg} \] \[ a = 2 , m/s^2 \]
Conclusion
The final answers for the labels would be:
-
Forces acting in the horizontal direction:
- F_right = 300 N (to the right)
- F_left = 0 N (no opposing force)
-
The acceleration of the flying Sumo wrestler:
- Acceleration = 2 m/s² (to the right)
This correctly represents the scenario as specified in your question.