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Conservation of momentum An extremely important fundamental principle in physics is the law of conservation of momentum. The law states that if there is no external force acting on a system, the total momentum remains a constant, which provides a powerful way to analyze interactions between systems of objects. For example, if a rolling ball on a frictionless surface collides with another ball, the total momentum before and after the collision is the same. An interaction, therefore, can be examined without knowing the forces involved and the length of interaction time, which might be difficult to measure.
Solution: T 1 = T 2 = mg 2 To minimize computation errors, show the components on a separate force diagram as shown in Figure 1-14. Example 2: Now, see if you can make the free-body diagram and set up the force equations for a pail on the end of a rope that is accelerating upward. Find the tension in the rope and the acceleration of the pail. See Figure 1-15(a). Figure 1-15 Force diagram of a bucket being lifted. T a a W (a) (b) The two forces acting on the pail are the tension of the rope (T) and weight (W = mg).
The solid cylinder b. The shell 4. 1757 m 5. None Chapter 2 WAVES AND SOUND Chapter Check-In ❑ Learning about transverse and longitudinal waves ❑ Understanding how waves interfere ❑ Understanding the wave properties of sound he easiest wave to visualize is a water wave. When a pebble is dropped in a calm pool of water, ripples travel out from the point where the T pebble enters the water. The disturbance travels out from the center of the pattern, but the water does not travel with the wave. Mechanical waves— such as water waves, waves on a rope, waves in a spring, and sound waves—have two general characteristics: ■ A disturbance is in some identifiable medium.