Kepler\'s Laws 1.in a distnat galax, a planet orbits its sun at a distance of 1.
ID: 1300788 • Letter: K
Question
Kepler's Laws
1.in a distnat galax, a planet orbits its sun at a distance of 1.8*10^12 m with a period of 10^8s. a second planet orbits the same sun at distance of 9*10^11m. what is the period of the second planet?
a)5*10^7s
b)2*10^8s
c)0.35*10^8s
d)2.8*10^8
e)5*10^8s
2.the prbits of two planets orbiting a star are shown.the semimajor axis of planet A is twice that of planet B.
a. 2Tb
b. 2 square rote of 2 Tb
c. 3Tb
d. square rote of 3 Tb
e. 4Tb
Newton's Law of gravity
3. you are in spaceship that has a mass of 13*10^4 kg and is 2.2*10^12m from a black hole near the center of the galaxy. the grvitational focre exerted by the black hole on the spaceship is 46N. the force on the ship when it has moved to on third of its original distance from the black hole is
a.410N
b.140N
C.150N
D.5.0N
E) 730N
4. a planet is made of two distinct materials in two layers. from the core to R/2, the density of the material is 4000 kg/m^3, and from R/2 to R the density is 3000 KG/m^3. what is the mass of the planet if R=km?
a. 2.62*10^23 KG
b.1.37*10^24 KG
c. 1.64*10^24 KG
d. 1.57*10^24 KG
e. 1.87*10^24 KG
Gravitational portential energy
5. a satellite of 1000 KG is in a circular orbit at a height of Re above the surface of earth. calculate the minimum energy required to put such a satellite into this orbit. ( Re=6.38*10^6m, Me=5.98*10^24KG, G=6.67*10^-11 N*m^2/Kg^2 )
a. 3.13 * 10^10 J
b. 8.34*10^10 J
c. 4.69 * 10^10 J
d. 6.25*10^10 J
e. 1.56 * 10^10 J
6.a space rocket is launched such that very far from earth it has a speed of 20 km/s. what was its initial launch speed from the surface of earth? (Re=6.38 * 10^6 m, Me= 5.98 * 10^24 KG, G= 6.67 * 10^-11 N*m^2/ kg^2 )
a. 22.9 km/s
b.20.0 km/s
c. 45.8 km/s
d. 21.5 km/s
e. 25.5 km/s
Explanation / Answer
1.d)2.8*10^8
2.b. 2 square rote of 2 Tb
3.a.410N
4.b.1.37*10^24 KG
5.b. 8.34*10^10 J
6.b.20.0 km/s
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