1. An object is placed 45 cm to the left of a converging lens of focal length with a magnitude of 25 cm. Then a diverging lens of focal length of magnitude 15 cm is placed 35 cm to the right of this lens. Where does the final image form for this combination? Please give answer in cm with respect to the diverging lens, using the appropriate sign conventions.

2. An object moves by an observer at 0.85c. What is the ratio of the total energy to the rest energy of the object?

3. When you run from one room to another, you're moving through:

Space

Time

Both

Cannot tell with the information given.

4. According to relativity theory, if a space trip finds a child biologically older than their parents, then the space trip is taken by the:

Child

Parents

Cannot answer with the information given.

5. If the magnetic field in the previous question is pointed into the page and the proton is moving to the left when it enters the region of the magnetic field, the proton goes in what direction as viewed from above?

Clockwise

Counterclockwise

Down the page

Up the page

6. According to special relativity, what is the speed of light measured in a space ship traveling at 0.7c?

0.3c

c

1.7c

None of the above

7. Justify your answer to the previous question.

Length contraction

Relativistic addition of velocities

Relativistic Dopper effect

Time dilation