Question 1 Let a perfect spherical shape planet for which 'one day' is 22 hours. If the radius of a planet suddenly expanded to double and density changed to half so that keeping the same mass, what will be the duration of one day? Compare the kinetic energies of rotation of the planet before and after. а. Figure 1: Question 1(b) Schematic figures of earth
Question 1 Let a perfect spherical shape planet for which 'one day' is 22 hours. If the radius of a planet suddenly expanded to double and density changed to half so that keeping the same mass, what will be the duration of one day? Compare the kinetic energies of rotation of the planet before and after. а. Figure 1: Question 1(b) Schematic figures of earth
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answer 1(a)
Transcribed Image Text:Question 1
Let a perfect spherical shape planet for which 'one day' is 22 hours. If the radius of a planet
suddenly expanded to double and density changed to half so that keeping the same mass, what will
be the duration of one day? Compare the kinetic energies of rotation of the planet before and after.
а.
Figure 1: Question 1(b) Schematic figures of earth
b. A wheel on an extremely low friction slanted surface will slide without rotating. However, if the
same surface is rough and having some friction the wheel will roll down (with rotation). Explain
why and how, using free body diagram.
Transcribed Image Text:Known values
Mass of Sun: 1.99×100 kg: Mass of Earth: 5.98×10ª kg: Mass of Moon: 7.36×10 kg:
Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'" m; Earth-Moon distance = 3.82 ×10* m; Radius
of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I =MR²; Damped harmonic motion
b.
function: x(t) = x,e-t/2" cos(w't + q); t =;w' = wo1
2; wo =
%3D
2mao
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