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Physics Puzzles

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Physics Puzzles

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Physics Puzzles All physics puzzles (14): Video

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There are two cylindrical rods of iron, identical in size and shape. One is a permanent magnet. The other is just non-magnetised iron — attractable by magnets, but not permanently magnetic itself.

Without any instrument, how can you determine which is Magnetic? A six feet man and his six year old son are swinging together at a park swing. They are on a separate, identical swing.

The man has four times the mass of the child. Every minute, Gear B makes 15 complete turns. 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. Force Types Puzzle - Sort the properties of different forces.

A Mobius strip club. Why is a physics book always unhappy? Because it always has lots of problems. 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. Usually when we pull on something it moves toward us in the direction of the applied force unless it is nailed down.

Can you think of, or devise, a simple system that moves away from you when you try to pull it toward you? Foucault's pendulum.

It was feet long with a 62 pound bob. When set swinging it slowly precessed because it maintained its initial plane of swing while the earth rotated underneath it.

This was easily observed over the course of a day as its plane of swing changed with respect to the floor underneath it.

Science museums around the world have such pendulums, and some university physics buildings do also. But why does the pendulum maintain its motion in the original plane?

After all, its suspension wire is attached at the top, and surely the rotation of the building will exert a twisting torque on the wire.

Wouldn't this cause the pendulum's motion to follow that of the building it is in? Some explanation is needed. Then there's the question of initial conditions.

When the pendulum bob is pulled back in the morning and released, this process is done in an already rotating reference frame—the building itself.

Shouldn't this initial motion bias the pendulum to retain that motion for the rest of the day, so its plane of motion wouldn't change at all with respect to the building?

Therefore no apparent precession would be observed. As a university student I was once given some good advice about physics. Textbooks and professors avoid this by seldom raising such questions.

Going around in circles. Mankind, sometimes called "a crawling disease on the face of the earth", affects the earth in many ways. But one effect of human activity is seldom mentioned.

In most countries automobiles travel on the right side of the road. Traffic circles are traversed counterclockwise.

Most automobiles and trucks return home after they take a trip, so their motion is net counterclockwise. In the USA carnival carousels merry go-rounds also turn counterclockwise, and races, human, horse, dog and auto, are run counterclockwise.

One exception is Great Britain and a few other countries , where all these go clockwise, including auto traffic and roundabouts. Does this rotational motion on earth's surface alter the rotation speed of the earth, if only just a smidgen?

Might this speed up or slow down the earth's rotation? Should we be concerned? And what is the effect of all those earth satellites we have put into orbit, most of them launched toward the east?

Illustrating centripetal force. A circular argument. A ball is on the end of a string. Holding the other end of the string you swing the ball in a large circle.

But is the tension really equal to the centripetal force? Due to air resistance the ball will slow down. To keep it going something else must supply energy in the form of work.

But if the string is radial, and the ball's motion is tangential to its circular path, the force and displacement are perpendiclar to each other.

So how can the string do any work on the ball to sustain its motion? Pendulum perplexity. Every physics textbook tells us that the period of a simple pendulum does not depend on the mass of the bob.

But these books rarely address the question "Why is the period independent of mass? But there's an easy and insightful way to prove this without even doing mathematics.

Can you? Leaning ball. A uniform sphere of mass m and radius r hangs from a string against a smooth, vertical wall, the line of the string passing through the ball's center.

What is the tension T in the string, and the force F exerted by the ball on the wall? Action and reaction. Textbooks often tell us that Newton's law is somthing like "For every action there is an equal and opposite reaction.

How can any two things be equal and opposite? One should say: "For every action there is an equal size and oppositely directed reaction.

One might argue that "reaction" is a negative "action". If so, the original statement might be correct, but it is still confusing. Putting the cart before the horse.

A horse is hitched to a cart. The horse exerts a forward force F on the cart and the cart exerts the same size force backward on the horse by Newton's third law.

So the horse and cart will not go anywheree. What is the flaw in this argument? Lunar attraction. Standing on the earth, are you closer to the sun at high noon at the time of new moon, or at high noon a half month later at the time of full moon?

The Ptolemaic model of the solar system was geocentric earth centered and based entirely on circles which were considered the perfect figure. To agree with observations of planetary positions, it became extremely geometrically complex, with circles cycles and smaller circles epicyles , deferents and equants and other gimmicks to make it agree with observation.

The Ptolemaic system, simplified. Not to scale. Adapted from Van Allen, James A. Copernicus attempted to simplify this, using a heliocentric sun centered model.

But he still insisted on a geometry based on circles. His system still needed epicyles, but, he claimed, fewer of them.

Less important than the number of epicycles is a property of the particular epicycles that his system eliminated.

Six of the abandoned cycles and epicycles had, in Ptolemy's system, one important thing in common. What was it? The persistent bug.

An infinitely stretchable elastic band connects a tree with the rear bumper of an automobile. As the auto moves away with constant speed the band stretches.

A bug on the band crawls slowly toward the auto. Can the bug ever reach the auto, given enough time? The holey sphere. From mathworld. Browsing Martin Gardner's books I stumbled on this diabolical puzzle.

Gardner calls it "an incredible problem". He traces it back too Samuel I. Jones' Mathematical Nuts , , p. It is seen on the web in various forms, often ambiguous in wording, along with endless discussions often leading nowhere.

I have tried to restate it to remove ambiguity which isn't easy. A hole is drilled completely through a sphere, directly through, and centered on, the sphere's center.

The hole in the sphere is a cylinder of length 6 inches. What is the volume of the remainder of the sphere not including the material drilled out.

You'd think there's not enough information given. But there is. The solution does not require calculus. Gardner gives an insightful solution that requires only two sentences, including just one equation.

Oblate earth. Due to its rotation, the earth isn't spherical. It is an oblate spheroid, bulging at the equator. Is its radius of curvature greater at the equator or at the poles?

The resistor chain. Each resistor in this chain has resistance of 1 ohm. A power source is connected to the terminals A and B.

The current in the rightmost two resistors is 1 ampere. What is the potential difference across the input terminals A and B of this chain?

What is the resistance of the entire chain as measured at points A and B? What current does the power source supply to this circuit? This problem is straightforward, though tedious, for the chain has only four "links".

It isn't worthy of the label "puzzle". But what if the chain had links? Extending the chain further is of no practical use, but it makes a nice puzzle to solve it for an infinite number of links, for a surprising pattern develops as you work it out.

Hint 1: Sometimes it helps to solve a puzzle if you approach it from the other end. Hint 2: Sometimes it doesn't.

Hint 3. How might this relate to Fibonacci? Skinning a catenary. A power cable is strung between two utility poles. Of course, it sags, in the shape of a curve called a catenary.

The weight of this section of cable is W. What is the tension in the cable at its lowest point? What is its tension at each of the poles?

Finding a center. Find the center of mass. Can you find its center of mass, using only an unmarked straightedge? Falling Slinky. If you release that end, how will the spring fall?

The entire spring falls, retaining its stretched length until the lower end hits the floor, then the rest of the spring falls, compressing as it goes.

The entire spring falls, compressing as it goes. The lower end rises to meet the upper end, then the spring falls in compressed state.

The lower end maintains its position until the rest of the spring compresses, then the spring falls in compressed state.

Follow-up question: What is the initial acceleration of the upper end of the spring as it falls? The acceleration due to gravity, g An acceleration greater than g.

An acceleration less than g. And another question: If a weight were attached to the bottom of the suspended slinky, how would that affect our previous answers?

Oh, just one more thing: If the spring constant or speed of compression pulse in the spring were different, could the lower end rise briefly just after the upper end of the spring is released?

As always, explain your answers. We all know how to "snap" our fingers, which is easier to do than describe in words. Press the thumb and middle finger together forcefully, letting the finger slide suddenly off the thumb, and you will hear a snapping sound.

Without doing it, explain exactly where the sound comes from. Tug of war. Tug of War. Two equal weights, W, are arranged as shown, An old-fashioned spring balance is connected in the middle of the horizontal cord, and is supported so that it does not cause the cords to sag.

Perhaps, use a weightless spring balance. What is the approximate reading of the spring balance? Wooden 15 puzzle. The classic "15 puzzle" is still found in toy stores.

When filled there's one empty space, allowing tiles to be shuffled into different orders. Typically one tries to get the tiles in numeric order left-right by sliding them, never lifting them from the box.

Puzzle master Sam Loyd claimed he invented this toy in , but he wasn't the first with the idea. Noyes Chapman applied for a patent on it in March Loyd did describe a prank one can play with it: just interchange two tiles so that it cannot be solved into numeric order left-right.

He called it the puzzle because he interchanged those two tiles, but interchange of any two tiles would have the same result.

The puzzle could still be solved by devious methods. Can you shuffle the tiles of the standard 15 puzzle to make a "magic square" in which the tiles in each row, column and diagonal sum to 30?

Speedy eclipse. Seen from above the earth's north pole, the earth revolves around the sun counter-clockwise. The moon orbits the earth counter-clockwise.

The earth spins on its axis counterclockwise. Then why does the region of totality of a solar eclipse move across the earth from west to east?

For example, in the U. Check your answer by calculating the time it took the region of totality to cross the U. Slip or slide?

Imagine that a new process can produce perfectly frictionless solid materials. A solid cylinder is placed at the top of an inclined plane, both made of this material.

The cylinder is released, being careful not to give it any push or rotation. Will the cylinder roll down the plane without slipping, or will it slide down the plane without rotating?

Or will it both slip and slide? A seasonal puzzle. In the Northern hemisphere, summer is warmer than winter.

The usual superficial answer is, "Because the earth's axis has a fixed direction in space, and in summer it tilts toward the sun, but in the winter it tilts away from the sun.

Two important processes aren't mentioned. Can you explain why the tilt affects the seasonal temperatures?

Curious attraction. Those business cards with magnetic backs present an interesting puzzle. Their black backs have alternating strips of N and S magnetic poles, spaced 1mm apart.

You can test this with two identical cards. Place them face up, stacked, move them along their length and they move smoothly. Move them perpendicular to their length and the movement "jumps" as you go from N to S magnetized strips.

Turn them so their black sides are in contact, similar results are seen. These magnets are called zip magnets.

The magnetic elements in them are in a Halbach array.

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