Can anyone answer all of these for me? 1. Two spherical objects have masses of 300 kg and 1000 kg. A distance of 5 m separates
their centers. Find the gravitational attraction between them.

2. Two spherical objects have masses of 7.5 x 105 kg and 2.3 x 104 kg. A distance of 1200 m
separates their centers. Find the gravitational attraction between them.

3. Two spherical objects have masses of 8.1 x 105 kg and 9.5 x 104 kg. The gravitational
attraction between them is 1.8 x 10-6 N. How far apart are their centers?

4. A 5 kg object is located at a distance of 6.4 x106 m from the center of a larger object whose
mass is 6.0 x 1024 kg.
a. What is the size of the force acting on the smaller object?

b. What is the size of the force acting on the larger object?

c. What is the acceleration of the smaller object when it is released?

d. What is the acceleration of the larger object when it is released?

How much work would a child do while puling a 12-kg wagon a distance of 3m with a 22 n force directed 30 degrees with respect to the horizontal? (a) 82j (b) 52j (c) 109j (d) 95j

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

Steam enters an adiabatic diffuser at 150 kpa and 1208c with a velocity of 550 m/s. determine the minimum velocity that the steam can have at the outlet when the outlet pressure is 300 kpa.