Interference of rectangular pulse

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Two rectangular wave pulses are traveling towards each other on a string, each with a speed of 1.00 mm/s, starting 8.00 mm apart. At t = 4.00 s, the pulses meet, and due to differing amplitudes, the resulting shape will show a net upward displacement of 1.00 mm. By t = 6.00 s, the pulses are 4 mm apart, with one pulse moving left and the other moving right, maintaining their respective amplitudes and widths. At t = 10.0 s, the discussion suggests that the pulses reflect off a wall, although the exact position of the wall is unclear. The principle of superposition is emphasized for determining the resultant shape of the string at each time interval.
sapiental
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The figure shows two rectangular wave pulses
traveling toward each other on a stretched string.
Each pulse is traveling with a speed of 1.00 mm/s,
and has the height and width shown in the figure.
If the leading edges of the pulses are 8.00 mm
apart at t = 0, sketch the shape of the string at
t = 4.00 s, t = 6.00 s, and t = 10.0

you guys don't have to sketch the result for me but please be as descriptive as possible.

Im thinking that at t = 4s the 2 pulses will meet. If the pulses were of equal amplitude the string would be at equilibrium. But the right one is 4.00mm so I think it will look something like a upward pulse with 1.00mm amplitude and 4.00mm width?

At t = 6s the pulses will be 4mm apart. One pulse traveling in the negative x direction with an amplitude of 4mm and width 4mm and velocity 1mm/s. The second pulse traveling in the positive x direction with amplitude 3mm, width 4mm, and velocity 1mm.

not sure about t = 10s, but i think the problem wants us to presume that the pulses reflect off the wall..

Any help is much appreciated. And could you guys also explain how you got your answers.. i.e. by what rules etc. tho one I can think of is the principle of superposition (y(x,t) = y1(x,t) + y2(x,t). thanks

Please see the attached pic for the diagram.
 

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You have the right idea -- just add them with superposition. Where is the wall you are referring to?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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