C). An asteroid is in a highly eccentric elliptical orbit around the Sun. The pe
ID: 2039406 • Letter: C
Question
C). An asteroid is in a highly eccentric elliptical orbit around the Sun. The period of the asteroid’s orbit is 90 days. Which of the following statements is true about the possibility of a collision between this asteroid and the Earth?
1. There is no possible danger of a collision.
2. There is a possibility of a collision.
3. There is not enough information to determine whether there is danger of a collision.
D). A comet moves in an elliptical orbit around the Sun. The highest value of the speed of the comet occurs at:
1. aphelion.
2. perihelion.
3. all points
. E). A comet moves in an elliptical orbit around the Sun. The highest value of the potential energy of the comet–Sun system occurs at:
1. aphelion.
2. perihelion.
3. all points.
Explanation / Answer
c) There is a possibility of a collision.
Explanation :
orbital period of asteroid p = 90 days
By using kepler's 3rd law ,we find the major axis of asteroid .
p2 = a3
a = semi major axis of asteroid
a = p2/3
a = (90)2/3
a = 19.48 A.U.
the major axis of asteroid is (2*19.48 = 39 A.U. = 58.34*1011 m)
we know that distance between earth and sun is 149.6 million km = 1.49*1011 m .
since the major axis is greater than the earth sun distance , There is a possibility asteroide collide with eath .
D)
speed of comet : perihelion.
The angular momentum of system is conserved so the speed of the comet is highest at the point where it is closest to sun.
E)
Total energy of comet - sun system : all points
Total energy of system is same at all points on the orbit.
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