A skydiver is falling at a constant 6.40 m/s. If the force due to air resistance on her is 580 N,then determine her mass.

Sure, here's how you can solve this problem:

Step 1: Understand the problem and what it's asking. The problem is asking for the mass of the skydiver. We know the force due to air resistance (580 N) and the velocity of the skydiver (6.40 m/s).

Step 2: Recall Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration (F = ma).

Step 3: In this case, the skydiver is falling at a constant speed, which means the acceleration is zero. Therefore, the force due to gravity (weight of the skydiver) is equal to the force due to air resistance.

Step 4: The weight of an object is calculated by multiplying its mass by the acceleration due to gravity (W = mg). In this case, we know the weight (force due to air resistance) and the acceleration due to gravity (approximately 9.8 m/s^2), so we can solve for the mass.

Step 5: Rearrange the equation to solve for mass (m = W/g).

Step 6: Substitute the known values into the equation (m = 580 N / 9.8 m/s^2).

Step 7: Calculate the mass. The mass of the skydiver is approximately 59.18 kg.