Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one's birth. The only known force that a planet could exert on us is gravitational, so if there is anything to astrology we should expect this force to be significant.

(a) Calculate the gravitational force, in Newtons, exerted on a 4.1kg baby by a 120kg
father who is a distance of 0.18 m away at the time of its birth.
(b) Calculate the force on the baby, in Newtons, due to Jupiter (the largest planet, which has a mass of
1.90 ×10^27 kg if it is at its closest distance to Earth, 6.29×10^11m away.
(c) What is the ratio of the force of the father on the baby to the force of Jupiter on the baby?

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

Drag each tile to the correct box. tiles bra i sequence

Suppose while hauling rocks, you accidentally drop one. it breaks apart in flat, planar sections. what type of rock did you just drop? 20 points