In case A, when an 80 kg skydiver falls with arms and legs
fully extended to maximize his surface area, his terminal
velocity is 60 m/s. In Case B, when the same skydiver falls
with arms and legs pulled in and body angled downward to
minimize his surface area, his terminal velocity increases to
80 m/s. In going from Case A to Case B, which of the
following statements most accurately describes what the
skydiver experiences?
(a) Fₐᵢᵣ ᵣₑₛᵢₛₜₐₙ꜀ₑ increases and pressure P increases
(b) Fₐᵢᵣ ᵣₑₛᵢₛₜₐₙ꜀ₑ increases and pressure P decreases
(c) Fₐᵢᵣ ᵣₑₛᵢₛₜₐₙ꜀ₑ decreases and pressure P increases
(d) Fₐᵢᵣ ᵣₑₛᵢₛₜₐₙ꜀ₑ remains the same and pressure P increases
Answers
Answered by
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Your answer is fair resistance increases and pressure P increases
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Answered by
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Explanation:
For the first part of the question, remember that terminal velocity means the acceleration experienced becomes zero.
Since a=0 m/s
2
, then ∑F
y
=F
air resistance
−F
w
=0
F
air resistance
=F
w
For the second part of the question, while the velocity is higher, the acceleration is still zero. Therefore, the F
airresistance
is still equal to the skydiver's weight.
F
air resistance CaseA
=F
air resistance Case B
What has changed is the surface area of the skydiver.
Since pressure is
P=F/A, as A decreases, the pressure experienced increases.
P
A
A
A
=P
B
A
B
=mg
Since A
A
>A
B
, then P
A
<P
B
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