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a Make a graph of the force applied to the spring versus the spring length Plot the force on the y-axis b Determine the spring constant from the graph c Using the graph, find the elastic potential energy stored in the spring when it is stretched to 050 m

1 Given:



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regularly spaced ridges that are perpendicular to the road, as shown in Figure 14-25 This effect, called washboarding, occurs because most cars travel at about the same speed and the springs that connect the wheels to the cars oscillate at about the same frequency If the ridges on a road are 15 m apart and cars travel on it at about 5 m/s, what is the frequency of the springs oscillation





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Dipoles are resonant antennas, so they naturally tend to prefer one frequency over the others The VSWR will be quite low at the resonant point (assuming no feedline mismatch problems), and will rise at frequencies above and below resonance If the antenna is a high-Q model, then the effect is quite profound, and it might render the antenna nearly useless at frequencies on the other end of the same band (especially where modern transmitters equipped with VSWR shutdown circuitry are used) Figure 6-15 shows a method for overcoming this problem Here is how it works An antenna that is too long for the desired resonant frequency will act inductively (ie, it will show a feedpoint impedance of the form Z = R + jXL ) To counteract the inductive reactance component +jXL it is necessary to add a bit of capacitive reactance jXc This approach is taken in tuning certain antenna forms and it can be used with dipoles to make the antenna tunable over a range of about 15 percent of the frequency The tunable dipole of Fig 5-15 is longer than other dipoles and it has an overall length of 505 L' = [622] FMHz Note that the velocity constant is 505, rather than the 468 that is used with ordinary dipoles The required capacitive reactance, which is used to electrically shorten the antenna, is provided by C1 In one effective design that I ve tested, the capacitor was a 500-pF transmitting variable type When the Heath Company was making kits, they offered an antenna tuner based on this idea It was a motor-driven 500-pF variable capacitor inside of a weather-resistant metal-shielded case The Heath tuner can be used on inverted vees and dipoles (if a center support is provided) A low-voltage (which is necessary for safety reasons) dc motor drives the shaft of the capacitor to tune the antenna to resonance.

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trunk of a new small car, the two rear springs compress an additional 10 cm a What is the spring constant for each of the springs b How much additional potential energy is stored in each of the car springs after loading the trunk

tightly the string is stretched, and on the mass per unit length of the string If FT is the tension in the string, and is the mass/unit length, then the velocity, v, can be determined by the following equation v

A piece of string 530-m long has a mass of 150 g What must the tension in the string be to make the wavelength of a 125-Hz wave 1200 cm

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 class Bonds { Bonds force() { return new Bonds(); } } public class Covalent extends Bonds { Covalent force() { return new Covalent(); } public static void main(String[] args) { new Covalent()go(new Covalent()); } void go(Covalent c) { go2(new Bonds()force(), cforce()); } void go2(Bonds b, Covalent c) { Covalent c2 = (Covalent)b; Bonds b2 = (Bonds)c; } }

to stretch a spring by 05 m a What is the spring constant b How much energy is stored in the spring c Why isn t the work done to stretch the spring equal to the force times the distance, or 10 J

Figure 14-25

the controversy between him and Newton over the nature of light Compare and contrast their explanations of such phenomena as reflection and refraction Whose model would you choose as the best explanation Explain why

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