The particle, confined to move along the x-axis, is moved by an external uniform electric field a small distance x along the axis (where x ≪ a), where it remains in equilibrium. the external field is then turned off and the particle oscillates along the x-axis on either side of the center of the ring. your supervisor observes your prototype and decides that the oscillation frequency of the charge needs to be increased by a factor of 27. (a) which parameter—m, q, q, or a—can be changed by the smallest percentage to achieve the desired frequency? m q q a correct: your answer is correct. you are correct. you should find that the frequency depends on a to the −3/2 power. (b) determine the percentage change. (enter the magnitude.)

An ambulance emits a frequency of 450 hz from its siren. what frequency is heard by a man as the ambulance moves toward him? less than 450 hz more than 450 hz 450 hz 0 hz

Fft review: linspace, fs, fftshift, nfft 1. generate one second of a cosine of w,-10hz sampled at f, = 100hz and assign it to x. define a tt as your time axis 2. take 64 points fft. 3. as you remember, the dft (which the fft implements) computes n samples of s2t where k-0,1,2, n -1. plot the magnitude of this 64-points fft at range 0 to 63, what do you think of this graph? 4â·to get the x-axis into a hz-frequency form, plot this 64-points fft between-50 to 50 (the 100hz sampling rate) and have n-points between them. 5. according to your figure, what frequency is this cosine wave at? 6. remember that the fft is evaluating from 0 to 2ď€. we are used to viewing graphs from-ď€ to ď€. therefore, you need to shift your graph. 7. now according to your shifted graph. what frequency is this at? 8. note that the spikes have long drop-offs? try a 1024-point dft. note that the peak is closer to 10 and the drop-off is quicker. although, now sidelobes are an issue

Which branches of natural science include the study of an organism that lived 10 million years ago