Practice problems - 1

1. Describe each of Newton's 3 laws.

2. A 0.5 kg toy car is pushed with a 40 newton force. What is the car's acceleration?

3. Without calculating anything, what would be the effect (in problem 2) of increasing the mass of the car?

4. Give an example of Newton's 1st law in action.

5. Give an example of Newton's 3rd law in action.

6. Newton's "big book", what I claim is the most important non-religious book of all time is _____ and was published in _____.

7.  What are epicycles and why are they important in the history of science?

8. Distinguish between weight and mass.

9.   What is the SI unit of force?  What is the English unit of force?

10.  How does weight depend on gravitational acceleration?

11.   Freefall review.  Consider a ball falling from rest.  How fast would it be moving after 4 seconds?  How far would it fall in this time?


Answers:

1.  See notes.

2.  40 / 0.5 = 80 m/s/s

3.  lower acceleration

4.  See notes.  Tablecloth pull, etc.

5.  firearm recoil, etc.

6.  Principia Mathematica, 1687.

7.  They helped explain retrograde motion - the apparent backwards motion of planets.  Really, planets are orbiting the Sun and there are times that some bodies are "behind" -- it's like when you pass someone on the highway and they "appear" to be moving backwards at that time.

8.  mass - the amount of stuff (in kg); weight - the gravitational pull on this stuff (in newtons).  The weight depends on where you are (in terms of how the gravitational acceleration changes).  For example, your weight on the Moon is 1/6 that of Earth.

9.  newton; pound

10.  W = m g.  Weight is depending on the local value of g.

11.  Letting g = 10 m/s/s -->  40 m/s, 80 m

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