It's Gravity with a capital G—a course review

This song is meant to be sung in an introductory physics class in classical mechanics. I used to think it slightly sinful to devote valuable class time to the kind of entertainment this song provides, since tradition requires that such time be spent lecturing and discussing matters of serious physics.

However, recent studies have shown that learning to play a musical instrument or learning to sing enhances one's ability to reason, e.g., to solve physics problems. It's true. Students in the class who learned this song and how to sing it invariably achieved higher exam scores.

When I have taught introductory Newtonian Mechanics courses, we have in recent years sung this song at the beginning, in the very first 15 minutes of the course. Then we sing it again at the end of the course, by which time it begins to make some sense. Occasionally we might do a verse or two during the course, if the subject matter were relevant and the mood were appropriate.

1.  It's Gravity with a capital G
Makes the moon go around and around.
And it's Gravity with a capital G
Makes the apples all fall down.
Capital G  times M1 times M2
Divided by R  to the power of two, yes
It's Gravity with a capital G
Makes the moon go around and around.
2.  (Physics on the freeway)
If you go for a ride and you collide—
The momentum is conserved.
You may die in the mess but nevertheless,
The momentum is conserved.
Of course we all know that there may not be
Conservation of kinetic energy.
But if you go for a ride and you collide,
The momentum is conserved.
3.  Now let's have some fun with a pendulum
At the playground, swingin' so free.
You'll oscillate, it'll feel so great,
get rid of anxiety.
Now the time it takes for a cycle is
2 π root L over g ,
So lets have fun with a pendulum
At the playground, swingin' so free.
4.  Now there's monkey in the tree, right up there for all to see,
And here comes a hunter with a gun.
The hunter takes aim (that's the name of the game)
And shoots the gun directly at the monkey's bum.
Now the bullet and the monkey both fall with g
And they meet at the same point in space—
So much to his surprise, the poor little monkey dies,
And the hunter. . .
(spoken) . . .The hunter? Let me tell you about the hunter. Much to the surprise of the hunter, there materialized upon the scene at the time of this dastardly deed. . . a Game Warden, who immediately arrested the hunter, charged him with the wrongful taking of an endangered species and hauled him into court, where he was tried by a jury of his peers, found guilty as charged, and sentenced by the judge to a lifetime of hard labor, dedicated to the restoration of the habitat for the wildlife of our planet.
. . . So the next time that you see a little monkey in a tree, Be sure to tell the hunter not to shoot his gun.
5.  The next thing that we saw was Newton's Second Law—
It forms the central feature of the course.
With a mathematical flavor it describes the behavior
Of a particle that is subject to a force.
We say: “The change in the momentum of the particle will be
An amount precisely equal to F dt ”—
And we'll promise not to say “F equals ma ”
When we describe the central feature of the course.
6.  When a beautiful woman smiles at me,
Now there is potential energy.
And I'll not be surprised that when she closes her eyes
There's even more potential energy.
And when we differentiate, d by dx.
There'll be a force of attraction for the opposite sex.
So when a beautiful woman smiles at me,
There is potential energy.
7.  Now we're in the lecture hall with the super balls:
What makes the little one fly so high?
If we drop them on the ground, they rebound,
And the little one flies up to the sky.
Well just conserve the momentum
And also the energy,
So when we're in the lecture hall with the super balls,
We'll know what makes the little one fly so high.
8.  Now it's time to get the feel of a bicycle wheel,
And spin yourself right up to speed.
Apply a torque—it will take some work—
But you'll get some angular velocity.
If you integrate the torque with respect to t,
You'll have the angular momentum.
So go get the feel of a bicycle wheel,
And spin yourself right up to speed.
9.  Now at the playground, on the merry-go-round,
In the rotating reference frame.
Feel the pseudo forces (there are two, of course):
“Coriolis ” and “centrifugal ” by name.
Toss a bean bag to your friend,
Why does it go in a curve?
At the playground, on the merry-go-round,
In the rotating reference frame.
10.  Now alas we had no time to deal with Einstein's
Theory of Special Relativity.
Where your clock will run slow if you decide to go
On a trip, at high velocity.
If at age twenty-one, you should have a son,
And step aboard a spaceship for a star,
Well when you return, you will learn
That your son could be older than you are.