Final answer:
To calculate the downward force exerted by a skydiver on the air at terminal speed, we can equate the force of gravity to the air resistance force.
Step-by-step explanation:
To show that a 70-kg skydiver exerts a 700-N downward force on the air as she falls at her terminal speed, we can use the equation:
Force = mass × acceleration
Terminal speed occurs when the force of air resistance equals the force of gravity. Air resistance is given by the formula:
Air resistance = drag coefficient × 0.5 × air density × velocity2 × frontal area
By equating the force of gravity to the air resistance force, we can solve for the downward force exerted by the skydiver on the air.