Red Bull Stratos was a space diving project involving Austrian skydiver Felix Ba

Question

Red Bull Stratos was a space diving project involving Austrian skydiver Felix
Baumgartner. On 14 October 2012, Baumgartner flew approximately 39 kilometres
(24 mi)
into the stratosphere over New Mexico, United States in a helium balloon
before free falling in a pressure suit and then parachuting to Earth. The total jump, from
leaving the capsule to landing on the ground, lasted approximately ten minutes. While
the free fall was initially expected to last between five and six minutes, Baumgartner
deployed his parachute after 4 minutes and 19 seconds.
Reaching 1,342.1 km/h (833.9 mph)—Mach 1.24—Baumgartner broke the sound barrier
on his descent, thus becoming the first human to do so without vehicular power.
Preliminary measurements show Baumgartner also broke two other world records. With a
final altitude of 39,045 m (128,100 ft), Baumgartner broke the unofficial record for the
highest manned balloon flight of 37,462 m (122,907 ft) previously set by Nicholas
Piantanida. He also claims to have broken the record for the highest altitude
jump, set in 1960 by retired USAF Colonel Joseph Kittinger, who was Baumgartner's
mentor and capsule communicator at mission control. These claims are now subject to
verification by the Fédération Aéronautique Internationale (FAI).
a) Predict how long it took Mr. Baumgartner to reach his maximum speed. Note:
Neglect air resistance (the atmosphere is quite thin at his maximum altitude) and use
g=9.7 m/s2
. b) Find Mr. Baumgartner’s altitude when he reached his maximum speed.
c) Given the definition of free fall used in this class, evaluate the claim that Mr. Baumgartner was in free fall for 4 minutes 19 s. d) It has been reported elsewhere that
Mr. Baumgartner opened his parachute at an altitude of 5000 ft. Determine Mr. Baumgartner’s average speed after he opened his parachute. e) When do you think
that Mr. Baumgartner (and his parachute) experienced a greater force of air
resistance; just prior to opening the chute at 5000 ft or just prior to hitting the ground?

Explanation / Answer

After reading this long statement of the problem we solve it; This problem is kinematic

Part a)

V max = 1342.1 Km/ h (1000 m/1 Km) (1 h/ 3600s) = 372.81 m/s

g = 9.7 m/s2

Expression kinematic

V = Vo + g t

Vo = 0 jumps from rest on the globe

t = V/g

t = 372.81/9.7

t = 38.43 s

Part b)

Let's calculate the distance drops to reach the maximum speed

yo=0

vo= 0

Y = Yo + Vo + ½ g t2

Y = ½ g t2

Y = ½ 9.7 38.432

Y = 7.1628 103 m

This is the distance down, so the height is

h = Ystep – Y

h = 10000 – 7162.79

h = 2837.21 m

Part c)

if it was in free fall for a while

t= 4 min +19 s = 4 * 60 +19 = 259 s

Its speed had to be

V= gt

V = 9.7 259

V= 2512.3 m/s

This value is much higher than the actual speed reported (Vtrue = 372 m / s), this value indicates that the statement is false

Another way to test is to find the distance falls

Y = 0 + ½ g t2

Y = ½ 9.7 2592

Y =325342 m

much greater than the distance of the jump (39000m), this also indicates that the man must be a lot less time in freefall

Pat d)

To find the average speed

V= d/t

as he opened the parachutist at a height of y= 5000 m

The freefall time t = 38.43 s

If the flight time was 10 min = 600 s

Flight time at terminal velocity is t2= 600 -38.43 = 561.57 s

V = 5000/ 561.57

V = 8.9 m/s

Part e)

We will analyze the two statement

* When its speed reaches the floor goes from 8.9 m / s to zero in a very short time

* When you open the parachute passes the speed of 372.81 m / s to 8.9 m / s bone a variation of

363.91 m / s as the speed variation in this case is much more time-law even a little longer this variation will be greater, therefore here experience greater acceleration and acceleration is proportional to the force

Result: experience a stronger-law opens the parachutist

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