A 75 kg skydiver and his 20g pet mouse jump from a plane. Estimate their terminal speeds, assuming that they both fall in a prone position with limbs extended.

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Answer

given,

mass of the skydiver = 75 Kg

mass of pet = 20 g

to find the terminal speed of both the sky diver and the mouse

Using terminal speed formula

               [tex]v = \sqrt{\dfrac{4mg}{\rho\ A}}[/tex]

ρ is the density of the air

A is the area of mouse and skydiver

               [tex]v = \sqrt{\dfrac{4\times 75 \9.8}{1.23\times A}}[/tex]

Assuming area of Skydiver = 0.72 m²

and Area of mouse will be equal to = 0.0021 m²

now,

               [tex]v_{skydiver} = \sqrt{\dfrac{4\times 75\times 9.8}{1.2\times 0.72}}[/tex]

               [tex]v_{skydiver} =\sqrt{3402.777}[/tex]

               [tex]v_{skydiver} =58.33\ m/s[/tex]

               [tex]v_{mouse} = \sqrt{\dfrac{4\times 0.02\times 9.8}{1.2\times 0.0021}}[/tex]

               [tex]v_{mouse} =\sqrt{311.11}[/tex]

              [tex]v_{mouse} =17.63\ m/s[/tex]