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A research team has discovered that a moon is circling a planet of our solar system: The moon orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton’s law of gravitation with G = 6.67 · 10−11 m3 /(kg·s 2 ) to approach the following questions: F = G · mM R2 

(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)

PLEASE SOLVE BOTH PARTS


At two different points in its orbit, a comet has velocities v1 and v2. If: V1and V2 are orthogonal and |V1] = 2|V2|,what is the smallest possible eccentricity of the orbit? 


could any other universes be born with different (gravity constant) other than fine tuning constant ? (just gravity constant)


The star of a distant solar system explodes as a supernova. At the moment of the explosion, an

resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explo-

sion travels with 25000 km/s towards the spaceship. To save the crew, the spacecra makes use

of a special booster that uniformly accelerates at 150 m/s2

in the opposite direction.

Determine if the crew manages to escape from the shock wave. (Neglect relativistic eects.)


Could our universe have been born with a different electromagnetic constant, other than fine tuning constant ?

if we consider several universes other than ours that happend by big bang with our universe age can we expect different gravity constant other than our universe fine tuned gravity ?


 research team has discovered that a moon is circling a planet of our solar system: The moon

orbits the planet once every 7 hours on a nearly circular orbit in a distance R of 48000 km from

the centre of the planet. Unfortunately, the mass m of the moon is not known. Use Newton’s law

of gravitation with G = 6.67 · 10−11 m3

/(kg·s

2

) to approach the following questions:

F = G ·

mM

R2

(1)

(a) Based on the observations, determine the total mass M of the planet.

(b) Which moon and planet of our solar system is the team observing?


The star of a distant solar system explodes as a supernova. At the moment of the explosion, an

resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explo-

sion travels with 25000 km/s towards the spaceship. To save the crew, the spacecra makes use

of a special booster that uniformly accelerates at 150 m/s2

in the opposite direction.

Determine if the crew manages to escape from the shock wave. (Neglect relativistic eects.)


The star of a distant solar system explodes as a supernova. At the moment of the explosion, an resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explosion travels with 25000 km/s towards the spaceship. To save the crew, the spacecraft makes use of a special booster that uniformly accelerates at 150 m/s2 in the opposite direction. Determine if the crew manages to escape from the shock wave. (Neglect relativistic effects.)


Could our universe have been born with a different gravitational constant, other than fine tuning constant ?

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