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A 60 kg and a 90 kg skydivers jump from an airplane at an altitude of 6000 m. The density of air at this altitude is 0.66 kg/m3. The value CdA is 0.6 m2. What are their terminal velocities? Assume that they achieve terminal velocities in a very short time after falling.

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Amal Jeeva
Amal JeevaLv10
23 Dec 2020
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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

A 60-kg and a 90-kg skydiver jump from an airplane at an altitude of 6000 m, both falling in the pike position.

A. Make some assumptions on their frontal areas and calculate their terminal velocities.

B. How long will it take for each skydiver to reach the ground (assuming the time to reach terminal velocity is small)? Assume all values are accurate to three significant digits.

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 vterminal 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 Fdrag acting on the skydiver immediately after she has opened the parachute?
 
(E) What is the terminal speed vterminal of the skydiver when the parachute is opened?

A relief airplane is delivering a food package to a group of people stranded on a very small island. The island is too small for the plane to land on, and the only way to deliver the package is by dropping it. The airplane flies horizontally with a constant speed of 483 km/hour at an altitude of 975 m. The positive x and y directions are defined in the figure. For all parts, assume that the "island" refers to the point at a distance D from the point at which the package is released, as shown in the figure. Ignore the height of this point above sea level. Assume that the acceleration due to gravity is g = 9.80 m/s2.

 

(a) After a package is dropped from the plane, how long will it take for it to reach sea level from the time it is dropped? Assume that the package, like the plane, has an initial velocity of 483 km/h in the horizontal direction. 

(b) If the package is to land right on the island, at what horizontal distance DD from the plane to the island should the package be released?

(c) What is the speed vf of the package when it hits the ground? 

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