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CHAPTER 2 Mechanical Forces
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faster and the faster atoms move slower. Some of the energy is transferred so that both objects come closer to having the same amount of energy. It is as if the heat ows from the hot object to the cold one. When you push a block across the table, the atoms in the block are banging against the atoms in the table. This takes some of the kinetic energy, which is an energy of motion on a large scale, and transfers it into the motion of the individual atoms in the table. These microscopic interactions also make the atoms in the block vibrate faster in their springy cages, so some of the block s kinetic energy is transferred to its own atoms as heat. Both the desk and the block heat up and kinetic energy is lost. The total energy is the same, it has just changed from one form (motion) to another (heat). Even when you squeeze or stretch a spring there is friction, only this friction is inside the spring. Some of the force you apply to the spring turns into heat as the spring moves. You can feel this internal friction yourself with a coat hanger. Get a wire coat hanger that nobody will mind you breaking. Now, grab it rmly in both hands and make a sharp bend in it. Now bend it back the other way. Do this a few times quickly, and the bend will become very hot. Do it enough, and the hanger breaks. We normally want to preserve the kinetic energy of an object and keep it from being converted to heat. Motion is useful and, unless you are cooking something, heat is not. There are di erent ways of doing this, such as lubrication or ball-bearings. We ll look at these friction-reducing ideas later.
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In this chapter, we introduced a bunch of mechanical forces, their meaning, and symbols to represent them. We learned how to describe something s position in space and its distance from another object. We learned about the energy in moving objects as well as the force and energy needed to change an object s motion, not to mention the di erence between force and energy. Finally, we took a look at storing energy in springs and how energy is lost through friction.
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Quiz
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1. If a ball dropped on planet Earth takes a half second to hit the ground, how high was it dropped from
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CHAPTER 2 Mechanical Forces
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Bonus: If you drop a ball from 3 meters (about 9 feet) above ground, how long does it take to hit What does it look like if you graph the results of these tests One graph would show how far the ball falls for a range of times. Another graph would show how long the ball takes to fall a given distance. 2. Take a half-kilogram ball (about a pound) and throw it at 10 meters per second at a wall (NOT someone s head). Assume the wall takes 1/10 of a second to stop the ball. What is the force applied to the ball over that tenth of a second What if the wall was really soft and took 1/4 second to stop the ball 3. What is the kinetic energy of this half-kilogram ball moving at 10 meters per second What if it were moving at 20 meters per second Try graphing the kinetic energy of the ball at di erent velocities. 4. If you carry this poor, abused half-kilo ball to the roof of your building, which is 4 meters high, how much potential energy does it now have What does all this have to do with robots Lots! Say you had a 10 kg robot that was trying to climb a 10 degree hill. How much push (acceleration) does it have to have to make it to the top If the hill is 100 meters high, how much energy was expended to get it there (think potential energy) You don t have enough information to answer these robot questions yet, but you will soon.
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