The center of Jupiter is 758,000,000,000 meters from the center of the sun. The mass of the sun is 2.00 x 10^30 kg. The mass of Jupiter is 1.90 x 10^27 kg. The gravitational constant, G, is 6.67 x 10^-11 N m^2/kg^2. (a) Solve for F gravity. (b) Using your answer to (a) [and knowing that F grav and F cent are the same thing] solve for the tangential velocity of Jupiter. (c) Using your answer to (b) calculate the period ("T") of Jupiter in seconds. (d) Convert your last answer to earth-years. (e) Does it take longer or shorter for Jupiter to go once around the sun, and does that imply that it is further or closer to the sun than Earth?
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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

What are two different ways you could find the value of a? explain these methods.

Aboy with a mass 25 kg climbs into a small tree. he sits on a branch that is 2.o m above to the ground.what is his gravitational potential energy above the ground?