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Announcements

Announcements. Test 1 next Thursday, 5–7 PM Covers material in Chapters 2–5 Review session Monday 5:30–7 PM, CR 103 Bring your questions. A. 100 N. 100 N. D. 0 m. 10 m. B. 100 N. 100 N. 100 m. 100 m. E. 10 N. C. 100 m. Group Work.

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Announcements

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  1. Announcements • Test 1 next Thursday, 5–7 PM • Covers material in Chapters 2–5 • Review session • Monday 5:30–7 PM, CR 103 • Bring your questions

  2. A. 100 N 100 N D. 0 m 10 m B. 100 N 100 N 100 m 100 m E. 10 N C. 100 m Group Work • Rank the following scenarios from least work done to most work done.

  3. Work force is not all that matters § 6.1–6.2

  4. What’s the point? Energy is critically important to Nature.

  5. Objectives • Relate work to force and distance. • Calculate the kinetic energy of a moving object.

  6. CPS Question Work is Force  time. Force  distance Force / distance. Force / time. Mass  velocity

  7. W= work = F·s F=forceapplieds=displacement Work Formula

  8. kg m kg m2 J = Nm = m = s2 s2 Units of Work joule (J) = 1 newton along 1 meter

  9. Group Work • Estimate the work done by the strong man in the video. Show your work! Justify your estimates of force and distance.

  10. component of force in direction of motion Work is a Scalar Source: Griffith, The Physics of Everyday Phenomena

  11. Dot Product of Vectors a·b = ab cos f a a f Commutative b b

  12. b cosf a f b a cosf Dot Product Geometrically • Product of the projection of one vector onto the other • “Overlap” ab cos f

  13. A = Axi + Ayj + Azk B = Bxi + Byj + Bzk A·B = AxBx + AyBy + AzBz Dot Product by Components If then

  14. + – Dot Product Properties • Positive if |f| < p/2 • Negative if |f| > p/2 • Zero if vectors perpendicular (|f| = p/2) • Maximum magnitude if parallel or anti-parallel

  15. CPS Question The piglet has a choice of three frictionless slides to descend. Along which slide is the greatest net force exerted on the piglet? A B C The net force is the same for all.

  16. CPS Question The piglet has a choice of three frictionless slides to descend. Along which slide would the piglet slide the longest distance? A B C The distance is the same for all.

  17. CPS Question The piglet has a choice of three frictionless slides to descend. Along which slide would the piglet finish soonest? A B C The time is the same for all.

  18. Group CPS Question The piglet has a choice of three frictionless slides to descend. Along which slide would gravity do the most work on the piglet? A B C D. Same work for all. E. Need more information.

  19. Group Work • Problem 4 on the worksheet • use sum of products of components

  20. s F4 F1 F2 F3 • W = (SF)·s • W = S(F·s) Total (Net) Work If several forces act on a moving object: or

  21. Example Problem 6.57 A luggage handler at the Laramie Airport pulls a 20-kg suitcase up a ramp inclined at 25° above the horizontal with a force of 140 N parallel to the ramp. The coefficient of kinetic friction between the ramp and the box is mk = 0.30. the suitcase travels 3.80 m along the ramp. Find the work done on the suitcase by the handler the work done on the suitcase by gravity the work done on the suitcase by the normal force the work done on the suitcase by friction the total work done on the suitcase the final speed of the suitcase, if its initial speed was zero

  22. CPS Question To accelerate an object from 10 to 20 m/s requires • more work than to accelerate from 0 to 10 m/s. • the same amount of work as to accelerate from 0 to 10 m/s. • less work than to accelerate from 0 to 10 m/s.

  23. v = F area = Dd slope = a = speed v m t t time • Work = F·Dd F = m (slope) = mv mv 1 1 Dd = vt t t 1 2 2 mv2 • Work = vt = 2 Work of Acceleration • To accelerate to speed v with constant force F

  24. Another Perspective • So, for the 0–10 vs. 10–20 m/s case: • If same force, thensame time • a’s and Dv’s are equal, so Dt’s are equal • Average speeds are 5 vs. 15 m/s • The 10–20 m/s case travels 3 as far

  25. A Moving Object Can Do Work Source: Griffith, The Physics of Everyday Phenomena

  26. mv2 1 2 KE = Kinetic Energy the work to bring a motionless object to speed equivalent to the work a moving object does in stopping

  27. 10 m/s 5 kg 10 m/s 5 kg 40 m/s 10 kg 10 kg 20 m/s CPS Question Which has more kinetic energy? A. B. C. D.

  28. CPS Question The piglet has a choice of three frictionless slides to descend. Along which slide would the piglet finish with the highest speed? A B C The final speed is the same for all.

  29. Work-Energy Theorem • If an amount of work w is done on an otherwise isolated system, the system’s energy changes by an amount DE = w.

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