To find the acceleration of the skateboarder on each of the roads (A, B, and C), we need to use the given equation:
[tex]\[
\text{acceleration} = \frac{\text{net force}}{\text{mass}}
\][/tex]
Alternatively, we can rearrange the equation:
[tex]\[
\text{force} = \text{acceleration} \times \text{mass}
\][/tex]
Given data:
- Mass of the person and skateboard = 62 kg
The table provided has placeholders for the accelerations on Roads A, B, and C. To complete this table, let's identify how we would solve for the accelerations:
### Case 1: Calculate accelerations if net forces are provided
If we are given the net forces for Roads A, B, and C, the accelerations can be directly calculated using the formula provided:
[tex]\[
\text{acceleration} = \frac{\text{net force}}{\text{mass}}
\][/tex]
Assuming the net forces for Roads A, B, and C are represented as F_A, F_B, and F_C respectively, the accelerations would be:
1. For Road A:
[tex]\[
\text{acceleration}_A = \frac{F_A}{62}
\][/tex]
2. For Road B:
[tex]\[
\text{acceleration}_B = \frac{F_B}{62}
\][/tex]
3. For Road C:
[tex]\[
\text{acceleration}_C = \frac{F_C}{62}
\][/tex]
### Case 2: Net forces are not provided
If the net forces for Roads A, B, and C are not given, we cannot calculate the exact value of the accelerations. We would need the specific net force values acting on the skateboarder on each road to proceed with the calculations.
Given the result provided:
- Net force for Road A: Undefined
- Net force for Road B: Undefined
- Net force for Road C: Undefined
Therefore, the accelerations for Roads A, B, and C are:
1. Acceleration on Road A: Not determined due to missing net force.
2. Acceleration on Road B: Not determined due to missing net force.
3. Acceleration on Road C: Not determined due to missing net force.
Thus, the final accelerations are:
[tex]\[
\text{Acceleration}_A = \text{None} \quad (\text{undefined})
\][/tex]
[tex]\[
\text{Acceleration}_B = \text{None} \quad (\text{undefined})
\][/tex]
[tex]\[
\text{Acceleration}_C = \text{None} \quad (\text{undefined})
\][/tex]
In conclusion, since no specific net forces were provided, the accelerations for all roads remain undefined.
