4. Imagine a physical reality in which Newton's second law had the following form:
\(\vec{F}_{net} = \frac{\vec{a}}{m}\)
Qualitatively describe how the nature of motion in that reality would differ from the nature of motion in our reality.
5. Suppose you chose the three fundamental S.I. units to be [force], [length], and [time]. What would be the unit of [mass] in terms of those fundamental quantities?
6. A neutronium brick has a weight-magnitude of 13.52 N on the surface of Saturn's moon, Titan and a weight-magnitude of 100 N on the earth. What percentage of the Earth's acceleration due to gravity is the acceleration due to gravity on Titan?
7. An apple sits at rest on a horizontal table. Assuming only knowledge of the Weight force, use Newton's 1st & 2nd Laws to deduce the existence of the Normal Force.
8. In the previous question, is the Normal Force the third-law-pair to the Weight Force? If not, briefly explain why not and identify the proper third-law-pair to the Normal Force.
9. What is the key difference that sets Newton's 3rd Law apart from the first two?
10. Two asteroids are observed to be within close proximity of one another. Asteroid A has one-million-times the mass of Asteroid B. Newton's 3rd Law (correctly) insists that they each exert equal gravitational forces on each other, yet Asteroid B is observed to speed up and crash into the surface of Asteroid A, whilst Asteroid A appears not to have moved at all. How this can be, despite both asteroids feeling equal forces.