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Why is the following situation impossible? A 1.30-kg toaster is not plugged in. The coefficient of static friction between the toaster and a horizontal tabletop is 0.350. To make the toaster start moving, you carelessly pull on its electric cord. Unfortunately, the cord has become frayed from your previous similar actions and will break if the tension in the cord exceeds 4.00 N. By pulling on the cord at a particular angle, you successfully start the toaster moving without breaking the cord.
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The vector position of a particle varies in time according tothe expression r = 7.20 i - 8.80t^2 j where r is in meters and t isin seconds.(a) Find an expression for the velocity of the particle as afunction of time. (Use any variable or symbol stated above asnecessary.)v =________ m/s(b) Determine the acceleration of the particle as a function oftime. (Use any variable or symbol stated above as necessary.)a =________ m/s^2(c) Calculate the particle's position and velocity at t = 5.00s.r = ________ mv =_________ m/s
Your friend, an artist, has been thinking about an interestingway to display a new wind sculpture she has just created. In orderto create an aural as well as visual effect, she would like to usethe wires needed to hang the sculpture as a sort of a stringinstrument.She decides that with two wires and some luck, the wires will sounda C-major dyad (C - 262Hz, G - 392 Hz) when the wind blows (note: Adyad is part of a chord.). Her basic design involves attaching apiece of wire from a hook on the ceiling, attaching a second pieceof wire to the first wire, and then hanging the 50 pound sculpturefrom the second wire. Your friend tells you that she has beensuccessful in hanging the sculpture but not in "tuning" the sound.Desperate for success, she knows you are taking physics and asksfor your help. Before you tackle the analysis, you use yourknowledge of waves to gather some more information. You takesamples of the wires back to your lab and measure their linear massdensities and find them to be 5.0 g/m and 8.3 g/m. What is youradvice? Assume that the junction of the two wires can'tvibrate.