Final answer:
To calculate the force of air resistance on a skydiver, you can use the formula F₂ = 0.5 * p * A * C * v₂. With the given information, the force of air resistance is found to be 0.145 N.
Step-by-step explanation:
The force of air resistance can be calculated using the formula:
F₂ = 0.5 * p * A * C * v₂
Where:
- F₂ is the force of air resistance
- p is the density of air (1.21 kg/m³)
- A is the cross-sectional area of the skydiver (0.18 m²)
- C is the drag coefficient (0.70)
- v₂ is the velocity squared (acceleration * time)
Using the given acceleration of 1.3 m/s/s, we can calculate the velocity after 1 second as:
v = a * t = 1.3 m/s/s * 1 s = 1.3 m/s
Substituting the values into the formula:
F₂ = 0.5 * 1.21 kg/m³ * 0.18 m² * 0.70 * (1.3 m/s)²
Simplifying the equation gives:
F₂ = 0.145 N