PH 125 Midterm: ph125_F17_exam3_SOLN (1)
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Exam iii solution: a child throws a ball with an initial speed of 8. 00 m/s at an angle of 40. 0 above the horizontal. 0 = gx2 2v2 i cos2 tan x + 2v2 i sin cos x 2v2 i yo cos2 i yo cos2 . Solving the quadratic and simplifying, i sin2 cos2 + 8v2 i yog cos2 (cid:19) x = 1 v2 i i sin cos q4v2. 2g(cid:18)2v2 g (cid:18)sin cos cos ssin2 + g (cid:18)sin ssin2 + v2 i cos . 2yog v2 i (cid:19) 7. 46, 1. 03 m (1) (2) (3) (4) (5) (6) A uniform solid cylinder of mass m , radius r, and length 2r rotates through an axis running through the central axis of the cylinder. Solution: first: we don"t need the length of the cylinder at all. All we need to do is equate the rotational kinetic energy of the two, with the sphere rotating with s and the cylinder at c.
