Question

Using thermodynamics and Kinematics together to solve a parachuter problem?

Answer 1

You probably know the equation for the drag, but just for record it's: Fdrag=12ρ CdA v2 and rearranging this gives: 2Fdragρ Cd v2=A 

Answer 2

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✔️✔️NASA has decided to send an experimental probe to Mars.

Its weight on earth is 40kgf.

When the probe is near the planet it will be attracted by the its gravitational field (gMars=3.75 m/s2).

Determine the parachute’s diameter so that the probe will touch Mars’ surface with a velocity of 3m/s (which is equivalent of dropping the probe from 0.5 m height on Earth). (Achute=πD24,CD=1.4, the density of Mars’ atmosphere is 23 of Earth’s).

[CD is the drag coefficient of the parachute CD=1.4 (no dimensions, dimensionless number, or clear number,) and where A is the projected area of the solid on a plane perpendicular to the body’s motion.]




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