When a parachute opens, the air exerts a large drag force on it. This upward force is initially greater than the weight of the sky diver and, thus, slows him down. Suppose the weight of the sky diver is 900 N and the drag force has a magnitude of 1110 N. The mass of the sky diver is 91.8 kg. What are the magnitude and direction of his acceleration?

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Sixta KovacekLv2

5 Jul 2019

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1)In an experiment on stopping distance, a truck drives 60mph,then the brakes are put on hard, so that the truck's wheelslock,and the truck skids to a stop. When the truck is empty, ithas amass of 3000 kg, and it skids to a stop in 30 m. Whatdistance (inm) does the truck skid when it is loaded with a2,027-kg mass?(Ans: 3.00x10^1)

2) The terminal velocity of a 0.00008-kg drop is 1.5m/s.Assuming a drag force F_D = -bv, what is the value of theconstantb (in kg/s)? (Ans: 5.23x10^ -4)

3) The drag force on large objects moving through air ismorenearly F_D = -bv^2. For this quadratic dependence on v, what isthevalue of the constant b (in Ns^2/m^2) if a 79-kg sky diver hasaterminal velocity of 51 m/s? (Ans: 2.98*10^-1)

A parachutist relies on air resistance (mainly on her parachute) to decrease her downward velocity. She and her parachute have a mass of 52 kg and air resistance exerts a total upward force of 640 N on her and her parachute.

1)What is the combined weight of the parachutist and parachute?

2)Draw a free-body diagram for the parachutist.

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A skydiver of mass 80.0 kg (including parachute) jumps off a plane and begins her descent. Throughout this problem use 9.80 m/s² for the magnitude of the acceleration due to gravity.

(A) At some point during her free fall, the skydiver reaches her terminal speed. What is the magnitude of the drag force Fdrag due to air resistance that acts on the skydiver when she has reached terminal speed?

(B) For an object falling through air at a high speed v, the drag force acting on it due to air resistance can be expressed as

F=Kv²

where the coefficient K depends on the shape and size of the falling object and on the density of air. For a human body, the numerical value for K is about 0.250 kg/m .

Using this value for K, what is the terminal speed v_terminal of the skydiver?

(C) When the skydiver descends to a certain height above the ground, she deploys her parachute to ensure a safe landing. Usually, the parachute is deployed when the skydiver reaches an altitude of about 900 m (3000 ft). Immediately after deploying the parachute, does the skydiver have a nonzero acceleration?

(D) When the parachute is fully open, the effective drag coefficient of the skydiver plus the parachute increases to 60.0 kg/m. What is the drag force F_drag acting on the skydiver immediately after she has opened the parachute?

(E) What is the terminal speed v_terminal of the skydiver when the parachute is opened?

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