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Escape speed. What goes up must come down? Not if the object is traveling at the escape speed the speed at which an object must be traveling to get away from an objects gravitational pull. The formula for escape speed is
Where G is 6.673 10-11 Nm2/kg2 and M and R are the mass and radius (respectively) of the object from which one wishes to escape.
Use Excel to calculate the escape speed for the following bodies.
Excels version of Scientific Notation is different. Instead of 1.17 1021 it wants 1.17E21
BodyMass (kg)Radius (m)Escape speed (m/s)Escape speed (km/s)Escape speed (mph)Ceres1.17 10213.8 105Earths moon7.36 10221.74 106Earth5.98 10246.37 1061.12104 11.22.50104Jupiter1.90 10277.15 107Sun1.99 10306.96 108Sirius B2 10301 107Neutron Star2 10301 104
Also convert the speeds to km/s (there are 1000 m in a km) and to miles per hour (10 km is approximately 6.2 miles).
RMS speed of air molecules. The (ideal) root-mean-square speed of gas molecules is determined by the following formula
where R is the Universal Gas Constant 8.314 J/mol/K, T is the temperature in Kelvin and M is the molar mass. Calculate the rms speed for the following molecules. Use 300 for T.
GasMolar Mass (10-3 kg/mol)Vrms (m/s)Hydrogen (H2)2.02Helium (He)4.0Water vapor (H2O)18.0Nitrogen (N2)28.0Oxygen (O2)32.0Carbon dioxide (CO2)44.0Sulfur dioxide (SO2)64.1342
(Note you have to convert the Molar Masses from 10-3 kg/mol to just kg/mol)
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