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Physics 1A, Section 6

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Albert of Saxony (14th century): v s. A modern look at. historical laws of falling bodies ... Albert of Saxony (14th century): v s. ds/dt = ks. s = Cekt. v = Ckekt ... – PowerPoint PPT presentation

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Title: Physics 1A, Section 6


1
Physics 1A, Section 6
  • October 6, 2008

2
Section Business
  • Section 6 office hour
  • Caltech/Downs 101
  • Tuesdays 400 - 530 PM
  • See other choices on course web site
  • http//www.its.caltech.edu/tmu/ph1a
  • Section web site
  • http//www.submm.caltech.edu/cdd/PHYS1A_2008

3
Week 1 Reading/Lecture Review
  • T.M.U. chapters 1-2 lectures
  • units dimensions
  • dimensional analysis (estimation)
  • law(s) of falling bodies
  • constant acceleration (compare eq. 2.14-2.16)
  • s s0 v0t ½ at2
  • v v0 at
  • distance, velocity, acceleration (general case)
  • v ds/dt
  • a dv/dt

4
A modern look athistorical laws of falling bodies
  • Oresme (14th century)
  • v ? t
  • s ? t2
  • (both correct)

5
A modern look athistorical laws of falling bodies
  • Galileo (17th century)

6
A modern look athistorical laws of falling bodies
  • Galileo (17th century)

7
A modern look athistorical laws of falling bodies
  • Galileo (17th century)
  • s ? t2 (correct)

8
A modern look athistorical laws of falling bodies
  • da Vinci (15th century)

9
A modern look athistorical laws of falling bodies
  • da Vinci (15th century)

10
A modern look athistorical laws of falling bodies
  • da Vinci (15th century)
  • s ? (t)(t 1)/2 t2/2 t/2

11
A modern look athistorical laws of falling bodies
  • da Vinci (15th century)
  • s ? (t)(t 1)/2 t2/2 t/2
  • v ds/dt ? t 1/2 (moving at the start)

12
A modern look athistorical laws of falling bodies
  • Albert of Saxony (14th century)
  • v ? s

13
A modern look athistorical laws of falling bodies
  • Albert of Saxony (14th century)
  • v ? s
  • ds/dt ks

14
A modern look athistorical laws of falling bodies
  • Albert of Saxony (14th century)
  • v ? s
  • ds/dt ks
  • s Cekt

15
A modern look athistorical laws of falling bodies
  • Albert of Saxony (14th century)
  • v ? s
  • ds/dt ks
  • s Cekt
  • v Ckekt

16
A modern look athistorical laws of falling bodies
  • Albert of Saxony (14th century)
  • v ? s
  • ds/dt ks
  • s Cekt
  • v Ckekt
  • Takes an infinite time to start from
    infinitesimal velocity!

17
Quiz Problem 35
18
Quiz Problem 35
  • Answer
  • a) a(t) jt a0
  • v(t) jt2/2 a0t v0
  • x(t) jt3/6 a0t2/2 v0t x0
  • b) (see graph)
  • c) A was ahead at t 0.5 s.
  • d) J will win.

19
Quiz Problem 46
20
Quiz Problem 46
  • Answer
  • a) D VsT
  • sqrtW2 (X-VrT)2
  • b) tan q (X-VrT)/W
  • c) Vs gt Vr
  • d) (Vs2-Vr2)T2 2XVrT (W2X2) 0
  • Use quadratic formula.
  • e) T W/sqrtVs2-Vr2
  • f) T W/Vs
  • X WVr/Vs

21
Thursday, October 9
  • T.M.U., Problem 3-7
  • Quiz Problem 19
  • Optional, but helpful, to look at these in
    advance.
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