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F06s(3) - Physics 204A FINAL EXAM Chapters 1 14 Fall 2006...

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Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2006 1 Name:__________________________________ Solve the following problems in the space provided. Use the back of the page if needed. Each problem is worth 10 points. You must show your work in a logical fashion starting with the correctly applied physical principles. The equations you need are on the equation sheet. Your score will be maximized if your work is easy to follow because partial credit will be awarded. 1. A wad of paper is tossed into a wastebasket 2.00m away. It is released with an initial speed of 4.00m/s at an angle of 30.0˚. Assume that it lands in the center of the bottom and that air resistance is negligible. Find (a)the time the wad is in the air and (b)the height from which it was released. x o = 0 y o = h x = 2.00m y = 0 v ox = 4.00 cos 30˚ = 3.46m/s v oy = v o sin 30˚= 2.00m/s v x = 3.46m/s v y = ? a x = 0 a y = -9.80m/s 2 t = ? (a)Using the kinematic equation for the final x-position, x = x o + v ox t + 1 2 a x t 2 " x = v ox t " t = x v ox = 2.00 3.46 " t = 0.577 s . (b)Using the kinematic equation for the final y-position, y = y o + v oy t + 1 2 a y t 2 " 0 = h + v oy t + 1 2 a y t 2 " h = # ( v oy t + 1 2 a y t 2 ) . Putting in the numbers, h = " [(2.00)(0.577) + 1 2 ( " 9.80)(0.577) 2 ] # h = 0.479 m . 2. Below is a table of some data about four moons of Jupiter discovered by Galileo. Rank these moons in order of the magnitude of their acceleration. That is, rank first the one with the highest acceleration and rank last the one with the smallest acceleration. Explain your reasoning. These moon are in circular orbit around Jupiter so the experience centripetal acceleration which is given by, a c = v 2 r . Io: a c = v 2 r = (17.3) 2 422 = 0.709 Callisto: a c = (8.20) 2 1883 = 0.036 Ganymede: a c = v 2 r = (10.9) 2 1070 = 0.111 Europa: a c = v 2 r = (13.7) 2 671 = 0.280 The ranking is: Io >Europa> Ganymede> Callisto Moon Orbital Radius (x10 6 m) Orbital Speed (x10 3 m/s) Io 422 17.3 Callisto 1883 8.20 Ganymede 1070 10.9 Europa 671 13.7 30˚ o v 2.00m x y h = ?

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Physics 204A FINAL EXAM Chapters 1 - 14 Fall 2006 2 3. A 5.00kg beam 2.00m long is hinged at one end and held at a 37˚ angle above the horizontal by a horizontal cable. Find the tension in
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