02_InstSolManual_PDF_Part10

02_InstSolManual_PDF_Part10 - 2-10 Chapter 2 2.41 Set Up A...

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2.41. Set Up: and where r is the radius. Solve: and and 2.42. Set Up: Let L be the length of each side of the cube. The cube has 6 faces of area so Solve: and surface area increases by a factor of 9. and volume increases by a factor of 27. 2.43. Set Up: For a sphere of radius R the volume is and the surface area is Solve: (a) and (b) and surface area changes by a factor of 2.44. Set Up: Let and be the accelerations of the rockets, with They reach the same final speed, so Since they start from rest, Solve: (a) gives and (b) gives and 2.45. Set Up: and Solve: (a) gives and gives and (b) gives and Since and Reflect: is proportional to t and for x is proportional to 2.46. Set Up: and Let Since cars stop, Solve: (a) gives and (b) gives so 2.47. Set Up: Let and Solve: (a) gives and x B 5 1 v B v A 2 2 x A 5 4 1 500 m 2 5 2000 m v A 2 x A 5 v B 2 x B . a x 5 v x 2 2 v 0 x 2 2 1 x 2 x 0 2 v x 2 5 v 0 x 2 1 2 a x 1 x 2 x 0 2 v B 5 2 v A . a A 5 a B x 0 A 5 x 0 B 5 0. v 0 A 5 v 0 B 5 0. t A 5 1 a B a A 2 t B 5 1 3 T a A t A 5 a B t B , v x 5 v 0 x 1 a x t x B 5 1 a A a B 2 x A 5 3 D a A x A 5
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