Students in a science class make three balls from various materials to use in an experiment. Assuming all three balls are traveling at the same speed, which statement is true about the inertia of the balls?

All three balls will have the exact same inertia because they all are the same size.

All three balls will have the exact same inertia because they all are the same size.

Ball 1 will have the lowest inertia because it is the smoothest.

Ball 1 will have the lowest inertia because it is the smoothest.

Ball 2 will have the greatest inertia because it has the most mass.

Ball 2 will have the greatest inertia because it has the most mass.

Ball 3 will have the same inertia as ball 1 because they are both hard.

Ball 3 will have the same inertia as ball 1 because they are both hard.

The membrane surrounding a living cell consists of an inner and an outer wall that are separated by a small space. assume that the membrane acts like a parallel plate capacitor in which the effective charge density on the inner and outer walls has a magnitude of 7.0 × 10-6 c/m2. (a) what is the magnitude of the electric field within the cell membrane? (b) find the magnitude of the electric force that would be exerted on a potassium ion (k+; charge = +e) placed inside the membrane.

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

If steel is more dense that lake water, why can a boat float