Example: A paratrooper with a fully loaded pack has a mass of 120 kg. The force due to air resistance has a magnitude of Fd = bv^2 where b = 0.14 N s^2/m^2. (a) If the paratrooper falls with a speed of 64 m/s, what is the force of air resistance on the paratrooper?

Example: A paratrooper with a fully loaded pack has a mass of 120 kg. The force due to air resistance has a magnitude of Fd = bv^2 where b = 0.14 N s^2/m^2. (a) If the paratrooper falls with a speed of 64 m/s, what is the force of air resistance on the paratrooper?

Answer

To find the force of air resistance, we use the provided formula: Fd = b * v^2. Given values: b = 0.14 N s^2/m^2 and v = 64 m/s. Plugging these into the formula: Fd = 0.14 * (64)^2 = 0.14 * 4096. Calculating the product: Fd = 573.44 N. Therefore, the force of air resistance acting on the paratrooper at a speed of 64 m/s is approximately 573.44 Newtons.