If it has enough kinetic energy, a molecule at the surface of the Earth can escape...

If it has enough kinetic energy, a molecule at the surface of the Earth can escape the Earth’s gravitation.

The acceleration of gravity is 9.8 m/s2, and the Boltzmanns’ constant is 1.38066 × 10−23 J/K.

minimum kinetic energy needed to escape in terms of the mass of the molecule m, the free-fall acceleration at the surface g, and the radius of the Earth R.

1. Kmin = 1 m g R 3

2. Kmin = 1mgR 2

3. Kmin = 2 m g R 1

4. Kmin = √2 m g R 5. Kmin = m g R

020 (part 2 of 2) 10.0 points

Calculate the temperature for which the min- imum escape energy is 5 times the average kinetic energy of an oxygen molecule.

Answer in units of K.

Using energy conservation, determine the minimum kinetic energy needed to escape in terms of the mass of the molecule m, the free-fall acceleration at the surface g, and the radius of the Earth R.

1. Kmin = 1 m g R 3

2. Kmin = 1mgR 2

3. Kmin = 2 m g R 1

4. Kmin = √2 m g R 5. Kmin = m g R

020 (part 2 of 2) 10.0 points

Calculate the temperature for which the min- imum escape energy is 5 times the average kinetic energy of an oxygen molecule.

Answer in units of K.

Solutions

Expert Solution

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genius_generous answered 2 weeks ago

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