1) A planet travels in its orbit close to apogee, and in 2 years, its radius vector sweeps out an area of 3 A. How long will it take the planets radius vector to sweep an area of 3 A when it’s close to perigee?

Question

A) a smaller time because the planets orbital speed will increase

B) a smaller time because the planets orbital speed will decrease

C) the same amount of time

D) a larger time because the planets orbital speed will increase

2) calculate the eccentricity for the planet if the distance between foci is 5,000,000 km and the distance of the major axis is 299,000,000 km

A) 0.0167
B) 0.598
C) 59.8
D) 0.167

3) a geosynchronous satellite has an orbital period of 24 hours so that it stays fixed at a point above earths surface. How far away does a geosynchronous satellite need to be from the surface of the earth in kilometers?

A) 35,900 km
B) can be at any distance 
C) 29,500 km
D) 42,300 km

4) object A and object B are equal distances on opposite sides of object C. Object B has three times the mass of object C. Objects A and B have equal mass. What is the ratio of the gravitational force between Objects A and B to the gravitational force between objects B and C?

A) 3/4
B) 3
C) 3/2
D) 2

5) a wedge is a simple machine that is essentially two inclined planes. It is used to separate objects, such as in the head of an axe. The mechanical advantage of a wedge is given by 
M A = L/t, where L is the length of the wedge and t is the thickness. Which of these designs produces the highest mechanical advantage?

A) a length of 12 in. and a thickness of 2 in.

B) a length of 6 in. and a thickness of 2 in.

C) a length of 5 in. and a thickness of 5 in.

D) a length of 16 in. and a thickness of 4 in.

If someone can help me I would really appreciate it. Even if it’s only with one question. I don’t know how to do any of these at all

oobleck · Answer

#1 Review Kepler's Laws of Planetary Motion
#2. e = c/a
#3. google geosynchronous orbit
#4. (G*3m*3m/(2r)^2)/(G*m*3m)/r^2) = ____
#5. They gave you the formula. So plug in the various numbers and compare values.