Review of: Physics Puzzles

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Physics Puzzles

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Brain It On - Physics Puzzles

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Show how clever you are.

I have tried not to include puzzles whose correct answers can easily be found on the internet. Several categories of puzzles.

Define that! Puzzles that require one to use careful and precise defintions, or are stated with ambiguous definitions. Self referential.

Puzzles that have simple or conceptual answers only possible because of the special way in the puzzle was posed.

Trick puzzles. Puzzles that describe special situations that are a unphysical, or b have special conditions that allow simple resolution of an otherwise messy and difficult situation.

Conceptual confusions. Puzzles that exploit common misconceptions about nature, physics or mathematics. Paradoxes apparent. Puzzles posed to descrbe apparently contradictory or paradoxical situations or explanations.

Visual deceptions. Puzzles in which the accompanying diagram misleads or deceives. Pictures can lie.

Isn't that the limit? Puzzles that require great care in taking limits to zero and infinity. Many classic math paradox proofs sometimes called "poofs" depend on this kind of deception, such as hidden division by zero.

Well, it does, for sufficently large values of 2. For those who want answers, my answers can be found here: Puzzle Answers.

They come with no guarantees, however. Going around in centripetal circles. Two identical masses black are connected by cords T 1 and T 2 of equal length, and swung around a "fixed" axis.

If T 1 is given, what is T 2? Explain your answer without using the word "centrifugal". First make a quick guess. Then solve it correctly.

Nit-pickers may note that, due to gravity, this motion won't lie in a single plane, for the balls will orbit lower than the swinger's hand.

Ignore this distraction. The water bridge. In Europe there are a few unusual bridges. Normally the bridges with a street or railroad on top cross a river.

But there are exceptions. Sometimes a canal is guided over the bridge that spans over a highway, or even over a river. These are called water bridges.

The Magdeburg Water Bridge. Photo from Sandra Sandrok Douglas. Bridge designers take into account the maximum weight of traffic a bridge can support.

How does that apply to water bridges? Assume that the level of water on such a bridge remains nearly constant as ships cross it, and so does the mass of water above the bridge—it might be 10, tons.

A ship that travels the canal has a weight of tons. What is the extra load on the bridge when the ship is in the middle of the bridge? At meters, it is the longest navigable aqueduct in the world.

Water bridges are rare in the USA. Stanton de Riel informs me of one. The canal is navigable, if currently only by canoe commercial shipping having halted some time ago; the locks are not maintained any more.

Puzzle submitted by Hans-Peter Gramatke. The Mighty Muscus. A fast train travels at mph. A fly on collision course travels at 5 mph exactly opposing the train.

The fly hits the window pane of the locomotive, gets stuck RIP , and continues to move with the train—of course at mph, the speed of the train.

As the fly reversed its direction of movement, there must have been a point where it had a speed of zero, just for an instant.

If the fly had the speed of zero, then just for that instant the train's speed must have also been zero. Explain how this strong fly could stop even for a short instant a train travelling at mph.

Drag race. Dick and Jane are doing a lab experiment, measuring friction by timing wooden blocks sliding down an inclined plane at constant speeds.

The blocks measure 3 x 4 x 5 inches. Dick suggests a race, and predicts that if a block is sliding on its 3x4 face it will have smaller contact area and smaller friction than if the block is sliding on its 4x5 inch face, so with smaller frictional drag it will win the race when both slide down the plane.

Jane disagrees, arguing that they still weigh the same, so the race will end in a tie. Who is right, and why? Rolling down an incline.

Off to the races. A standard physics problem and demo races cylinders rolling down an inclined plane. The cylinders are constructed to have the same mass and the same outer radius, but one is solid wood and the other is a metal hoop.

The hoop, having the greater moment of inertia, accelerates less under the gravitational force, and loses the race. But what if we handicap this race differently.

Make two solid cylinders of the same length and radius, but of materials of very different density. They will have very unequal masses.

Now which one will win, and why? Now race two spherical balls of the same radius but different masses, say one of steel, one of wood.

Which will win? As usual in these puzzles, you may assume ideal materials, negligible friction and rolling without slipping in spite of the absence of friction!

These puzzles may be resolved without explicit use of mathematics. Galileo could have solved them. Perhaps Archimedes could have. The confounded tackle.

Every so often ingenious tinkerers try to improve on Archimedes. Here's a clever variation on standard pulley systems.

Calculate its mechanical advantage, assuming frictionless, massless pulleys and perfectly flexible rope of negligible mass.

Soap Box Derby. A kid is building an unpowered downhill racing car. He has the brilliant idea of using, instead of four wheels, only three wheels, to reduce the friction on the car.

Will this modification increase the car's performance in a downhill race? A very fair race. Some years ago someone had the bright idea to hold a hovercraft race.

Hovercraft are supported above the ground by a large fan that forces air downward. The craft moves as if it were on a very low friction surface.

These vehicles also have another fan for propulsion. They are rather large vehicles, so the race promoters designed a circular track that was banked so that vehicles at the inside of the track wouldn't have an advantage.

Apparently the racetrack was never built, and no such races were ever run. Pulling a yo-yo. A yo-yo toy rests on its edge on a level table.

If the string comes out above the axle, what will happen when you pull the string parallel to the table? Will it roll left, or right?

If the string comes out below the axle, what will happen when you pull the string parallel to the table? If the string is pulled straight up, which way will it roll?

At what angle can you pull the string to cause it to slide along the table without rolling? The coefficient of sliding friction at the interface with the table is 0.

Support your answers with analysis of fores. Two identical round pucks rest on a frictionless level table. One puck is propelled toward a stationary puck.

They collide, and the collision is perfectly elastic. Niether puck rotates before or after the collision.

Prove that after collision, the velocities of the two pucks are at right angles, no matter how the collision occurred. Why doesn't this happen?

Morning levitation. Burning the candle at both ends. Harpo Marx burns the candle at both ends. Horse Feathers A candle is trimmed at the bottom so that both ends of the wick are exposed.

A nail or long needle is pushed through the middle of the candle, and is supported on the rims of two glasses. The candle is then lit at both ends.

Typically the candle will oscillate around the axle. Is the resulting motion simple harmonic motion or just periodic?

Is its period constant? Pressure Paradox. An old-fashioned bottle of nonhomogenized milk is left undisturbed.

The cream in the milk rises to occupy the narrow neck at the narrower top of the bottle. Is the pressure of the milk on the bottom of the bottle now the same, greater, or less than before?

You know this puzzle is old, for those milk bottles are seldom seen today. Nor is unhomogenized milk common. However, many food products come in similar narrow-necked bottles.

For a modern version imagine such a bottle of oil-and-vinegar salad dressing, shaken up. Then the oil slowly separates and rises to the narrow neck of the bottle.

Note: Many materials, when mixed, occupy a volume different than their total volume when separate.

This is generally a small effect. In this problem, this volume difference will be ignored. It would, in fact, have negligible contribution to the changes of pressure being considered here.

A pendulum has a bucket for the bob. It is half-filled with water. The water freezes. What happens to the period of the pendulum?

Thermal pressure. A solid cube rests on a level surface. The cube is heated by a large amount. Does the pressure the cube exerts on the surface, increase?

Disregard relativistic effects and stick to classial physics. Explain your reasoning. A large ship moored at the dock has a rope ladder hanging over its side all the way into the water.

Its steps are 30 cm apart, and 20 steps are above the water. After 6 hours how many steps are above water? Stubborn Ball. A smooth ball rests at the junction of the floor and a tilted wall.

When bodies are in contact, there's a force at the interface, directed along the normal to the contact surface. We show the force due to the tilted wall green at B and the force due to the floor blue at A.

The blue vector has no horizontal component, so it doesn't cause rolling of the ball. But the green vector does have a horizontal component.

Why doesn't that force cause the ball to roll away from the wall? A simple pendulum has a small mass B attached to a string of negligible mass suspended from a fixed support F.

The tension of the string is not constant during the swing. Rigid bodies. Newton's laws are said to be universal, that is they apply everywhere and at all times, at least for macroscopic large scale phenomena.

Nearly every mechanics textbook has a chapter dealing with rigid bodies. Those are bodies that maintain their physical shape exactly during interactions.

Show that perfectly rigid bodies cannot exist, for they would violate Newton's laws. Weighty matters. Textbooks often define the weight of a body as the force that gravity exerts on a body at the earth's surface.

But later on, they speak of situations where a body is fully or partially immersed in a liquid, and speak of "the loss of weight" of a body immersed in liquid.

Then when discussing orbiting manned earth satellites they speak of "weightless astronauts". It is said that physics is a "precise" science, but it seems the language used in textbooks is far from precise.

Resolve this dilemma. Leonardo's goof 1. Leonardo da Vinci's notebooks have a number of errors. Source: Leonardo da Vinci, Codex Arundel, folio , drawing no.

Two people inside turned the cranks that drove the wheels. The gearing is the common "lantern gear" of the time. Ignoring the trivial observation that it would take two very strong men to power this, why wouldn't this work?

There's no record that it was ever built and used. Lenardo's goof 2. Lenardo da Vinci's notebooks have a number of errors. Here's one showing water streams from holes at various heights in a water tank.

What's wrong with this diagram. How should it look? Leonardo's aerial screw. Codex Atlanticus. What would you call a clown in jail? Silicon Silly Con.

Why couldn't the moebius strip enroll at the school? They required an orientation. What animal is made up of calcium, nickel and neon?

A CaNiNe. What is the simplest way to observe the optical Doppler effect? Go out at and look at cars. The lights of the ones approaching you are white, while the lights of the ones moving away from you are red.

Speed Comparison - Interactive fun diagram for speed of objects. Car Parts Puzzle - Assemble the parts of the automobile.

Interactive car structure. Rocket Parts Puzzle - Assemble the parts of the rocket. Interactive rocket structure.

Train Parts Puzzle - Assemble the parts of the steam locomotive. Interactive train structure. Bicycle Structure Puzzle - Build yourself a bicycle.

Interactive bicycle structure. Energy Types Puzzle - Distribute kinetic and potential energies. Physics Puzzles 4 - Who is fast riddle.

Who swings faster? And why? Physics Puzzles 5 - Physics of gears puzzle. Sign In. Username or Email Password Forgot password. Reset Password.

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Physics Puzzles
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