In the statements below, TE is the total mechanical energy, KE is the kinetic en
ID: 1463028 • Letter: I
Question
In the statements below, TE is the total mechanical energy, KE is the kinetic energy, and PE is the potential energy.
greater than /less than /equal to The TE of Y is .... the TE of X
greater than /less than /equal to The PE of Y at i is .... that at r
greater than /less than /equal to The PE of X at c is .... the PE of Z at i
greater than /less than /equal to The TE of X is .... the TE of Z
greater than /less than /equal to The PE of Y at u is .... the PE of X at c
greater than /less than /equal to The PE of Y at i is .... the PE of Z at i
greater than /less than /equal to The speed of Y at a is .... that at r
greater than /less than /equal to The KE of Z at i is .... that at m
Explanation / Answer
You can think of X and Y as projectiles launched from the orbit of Z. The source gives another way of seeing the problem : the specific orbital energy is inversely proportional to the major axis of the orbit.
1. The The TE of Y is GREATER than the TE of X (TE is constant; Y reaches a greater "height")
2. The PE of Y at i is LESS that at r (see i)
3. The PE of X at c is LESS the PE of Z at i
4. The TE of X is GREATER than the TE of Z (X reaches a greater height from the planet)
5. The PE of Y at u is GREATER THAN the PE of X at c (PE increases with distance [=height] from attractive body.)
6. The PE of Y at i is LESS the PE of Z at i
7. The speed of Y at a is THE SAME that at r (same mass, same distance from planet
8. The KE of Z at i is THE SAME that at m (constant TE, same PE, therefore same KE)