1. Two electrons are a significant distance away from each other and move with nonzero initial speeds heading straight towards each other. When they get very close, they momentarily stop and then start moving away from each other. 2. A proton and an electron are moving away from each other with high initial speeds. When they are infinitely far away from each other, they are still moving. 3. A comet swings by close to the Sun and then moves away. The comet's speed is zero when it is very, very far away from the Sun.
The following image shows six graphs of Energy versus distance (rr). In each graph, the orange curve labeled K represents kinetic energy, the blue curve labeled U represents the potential energy, and the green line labeled K+U represents the total energy. Indicate which graph (by number) best represents each of the scenarios described below.
1. Two electrons are a significant distance away from each other and move with nonzero initial speeds heading straight towards each other. When they get very close, they momentarily stop and then start moving away from each other.
2. A proton and an electron are moving away from each other with high initial speeds. When they are infinitely far away from each other, they are still moving.
3. A comet swings by close to the Sun and then moves away. The comet's speed is zero when it is very, very far away from the Sun.
4. A rock is ejected from a volcano on Io (one of Jupiter's moons) with a speed that is exactly equal to Io's escape speed.
5. Voyager II taking off from Earth with an initial speed that is just a little bit higher than Earth's escape speed.
6. An electron and a proton are held at rest at some distance away from each other and then are let go.
7. Pluto and Charon, its biggest moon, in bound orbits around each other.
8. Two protons are held near each other at rest and then are let go.
9. A planet in an elliptical orbit around a star.
10. An impossible set of energy graphs.
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