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Vectors -- Kinematics -- Newton's legislation -- paintings, strength, and gear -- Linear momentum -- Uniform round movement & Newton's legislations of Gravitation -- Oscillations -- Fluid mechanics -- Thermal physics -- electrical forces and fields -- electrical strength and capacitance -- direct present circuits -- Magnetic forces and fields -- Electromagnetic induction -- Waves -- Optics -- Atomic and nuclear physics
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Sample text
That these two sums are indeed identical is shown in the following figure: Two vectors are equal if they have the same magnitude and the same direction. VECTOR ADDITION (GEOMETRIC) The figure above illustrates how vectors are added to each other geometrically. Place the tail (the initial point) of one vector at the tip of the other vector, then connect the exposed tail to the exposed tip. It is essential that the original magnitude and direction of each vector be preserved. The vector formed is the sum of the first two.
Either of the following two graphs represents an object moving at a constant velocity in the positive direction. Either of the following two graphs represents an object moving at a constant velocity in the negative direction. Either of the following two graphs represents an object speeding up in the positive direction. Either of the following two graphs represents an object slowing down in the positive direction. Either of the following two graphs represents an object slowing down in the negative direction.
For this example, at 10 seconds (the midpoint of 20 seconds time) the object has only traveled 500 m out of the 2000 m total or one-fourth the distance. The instantaneous velocity at any point is twice the average velocity from t = 0 to that point. For example, the average velocity from 0 to 10 seconds is 50 m/s. The instantaneous velocity at 10 seconds was 100 m/s, or twice the average velocity of 50 m/s. Again, these shortcuts are only true for objects that start from rest and have a constant acceleration.