We will see that Newton’s laws

We will see that Newton’s laws of classical physics apply only in certain “inertial” frames of reference.  As an example, consider being in an airplane on a long trans-Pacific flight.  It is dark, the shades are drawn, and all of your fellow passengers are quietly asleep, watching movies, or reading.  You however, being a newly trained physicist, want to do an experiment to see how fast the plane is flying. With the tools you have (no GPS!) which one of the following is true.

   

If you toss something to a friend down the aisle, and they toss it back to you, there will be a difference in the speeds in the two directions because of the speed of the airplane.

   

Look at the tip of the coffee’s liquid surface in your cup. It tips more the faster you go.

   

There is no experiment we can do. 

   

Drop something.  It will not fall straight down because the plane is moving

On a plane flat surface with “up” given as  +y and  “right” given as +x, we add two vectors.  One of them has  components (2, 4) and the other is (-1,-5).  What is the length of the resulting vector, and what direction is it pointing in?

   

The vector has length of  and is pointing up and to the right at 45°.

   

The vector has length of  and is pointing down  and to the right at 45°.

   

The vector has length of 1 and is pointing down and to the left at 45°.

   

The vector has length of 1 and is pointing up and to the left at 45°.

The meter is the standard unit of length for physics.  Which of these is the current way we define that standard?

   

Based on a metal bar serving as a length “standard ” that is kept by the National Institute of Standards and Technology (NIST) in the U.S.

   

Based on the average distance from the Earth to the Sun.

   

Based on the diameter of the Earth.

   

Precisely how far light travels in 1/299792458 second.

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