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Physics 220 Homework #3 Handout Name:______________________ Lab Section # _________ Staple this page to the front of Homework #3. Look at problem 27 in chapter 4. Convert the speed given in the problem into SI units. Converting units is something that must eventually be done, so doing that first ensures progress. The speed you just converted is the velocity along the airplane’s direction of travel. In most problems, the easiest way to make progress is to choose a logical coordinate system. For most free-fall problems, a logical coordinate system has a horizontal x-axis and a vertical y-axis. Can you think of a reason why this choice of axes is beneficial for free-fall problems? y x or x y (circle the coordinate system you will use or draw one you will use) With that coordinate system in mind (x horizontal and y vertical), we need to break the airplane’s actual velocity into its horizontal component and its vertical component. For now, pretend the problem didn’t specify the numerical value for θ. Instead, just write the components in terms of θ (i.e. in terms of sin θ, cos θ, or tan θ). Airplane velocity and its components (vfull is the converted value in [m/s] you calculated above) : vfull = v0x = Think of making a right triangle when breaking a vector into its components. θ vfull θ v0y = (Label the two legs of the triangle) If you chose a y-axis with positive y upwards, did you make sure the vertical component has a ‘–’ sign? Notice by this point in the problem we have done a fair amount of work to just get the problem into a format where the information is useful: i.e. units converted, and vectors broken into components. Many of the problems in this course will require similar beginning steps. What useful piece(s) of information are stated in the problem but haven’t been used yet? One built-in assumption is that the radar decoy when it is released has exactly the same velocity as the airplane. Does that assumption make sense? Write down any thoughts you have about the problem right now: (more on back) Fill out the values in the table below. Make sure to indicate a ‘–’ sign where appropriate. Leave blank any values you don’t know. Make some type of mark (perhaps a *) by the values you are supposed to find. Making a table like this is very helpful for free-fall / projectile motion problems. x-direction y-direction Δx = Δy = v0x = v0y = vfx = vfy = ax = ay = Δt or tf = Δt or tf = Is it possible for time to elapse at a different rate in the x direction and the y direction? Based upon what is given and what is not given, as well as any values that are not asked for, choose the correct equations to solve the problem. You will probably have to use more than one equation in order to solve for every quantity that is asked for. Remember, an identical table exists with Δy in place of Δx. The two directions are independent except they share the same time variable! Variables v f = vi + at Δx = vt = 1 2 (v i + vf Δx = vi t + 12 at 2 v 2f = vi2 + 2aΔx Δx a √ )t √ √ √ √ √ vf vi t √ √ √ √ √ √ √ √ √ √ University of San Francisco, Physics 110, Fall 2003 In the space below or on another page, complete the problem.
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Really useful study material!

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