Questions #1–7: As shown here, a person pushes exactly horizontally with 300. N of force on Box A (mass 30.0 kg), which is in direct contact with Box B (60.0 kg). Assume that the ground is level, and there is no friction between the boxes and the ground. Ignore air resistance.
1. (1 pt.) What is the magnitude of the acceleration of Box A? Hint: You can solve this quickly by considering the pair of boxes to be a single object.
2. (1 pt.) How many force vectors should appear in a complete, full free-body diagram of Box A in this situation? Identify them all with their names and directions. (Denote the force of the person pushing on the box as only one force, even though she is using two hands.)
3. (1 pt.) How many force vectors should appear in a complete, full free-body diagram of Box B in this situation? Identify them all with their names and directions.
4–5. (1.5 pts.) What is the magnitude and direction of the force of Box A on Box B?
6–7. (1.5 pts.) What is the magnitude and direction of the force of Box B on Box A? Hint: This requires no additional calculation!