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Fisika Dasar I Umiatin, M.Si ,[object Object],[object Object]
KERJA DAN ENERGI ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Outline ,[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
1. ENERGY ,[object Object],[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nature of Energy ,[object Object],[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nature of Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nature of Energy ,[object Object],[object Object],[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nature of Energy ,[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nature of Energy ,[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Forms of Energy ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Heat Energy ,[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Chemical Energy ,[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Chemical Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Electromagnetic Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Electromagnetic Energy ,[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nuclear Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nuclear Energy ,[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nuclear Energy The sun’s energy is produced from a nuclear fusion reaction in which hydrogen nuclei fuse to form helium nuclei. 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Nuclear Energy ,[object Object],Most of us live within 10 miles of the Surry Nuclear Power Plant which converts nuclear energy into electromagnetic energy. 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Mechanical Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Mechanical Energy ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Energy Conversion ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Energy conversions ,[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Other energy conversions ,[object Object],[object Object],[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Energy Conversions ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Chemical    Heat   Mechanical 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
2. WORK ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Work and Energy Work-Energy Theorem 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work by a Baseball Pitcher ,[object Object],[object Object],[object Object],Work and Energy v 1  =  0 v 2  =  44 m/s 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work Done by  a Constant Force (I) ,[object Object],[object Object],Work and Energy W   [Joule]  = ( F cos     ) d    Both magnitude ( F ) and directions  (  )  must  be taken into account.  07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work Done by a Constant Force (II) Work and Energy Example:   Work done on the bag by the person..    Special case: W =  0 J a) W P  = F P  d cos (  90 o  ) b) W g  = m g d cos (  90 o  )    Nothing to do with the motion 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Work and Energy 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A (cont’d) ,[object Object],[object Object],[object Object],[object Object],Work and Energy 180 o 90 o d F.B.D. 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A (cont’d) ,[object Object],[object Object],[object Object],[object Object],Work and Energy 180 o 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A (cont’d) ,[object Object],Work and Energy W net   =   W i  =  1195   [J]  (> 0) 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 2 ,[object Object],[object Object],[object Object],[object Object],Work and Energy (a) (b) 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 2 (cont’d)   Work and Energy (1)   W net  =  F d (a)  cos  180 o   =  - F d (a)  =  0 – m  v (a) 2  / 2    -  F   x  (20.0 m) =  -   m  (16.7 m/s) 2  / 2 (2) W net  =  F d (b)  cos  180 o   =  - F d (b)  =  0 – m  v (b) 2  / 2    -  F   x  ( ?   m)  =  -   m  (33.3 m/s) 2  / 2 (3)   F  &  m  are common. Thus,  ?  = 80.0 m 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work-Energy Theorem Work and Energy W net   = F net   d  = ( m a ) d  = m  [  ( v 2  2  –  v 1  2  ) / 2d  ]  d = (1/2) m  v 2  2  – (1/2) m  v 1  2   =  K 2  – K 1 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Spring Force (Hooke’s Law) Work and Energy F S (x)  = - k x F P F S Natural Length x  > 0 x  < 0 Spring Force (Restoring Force): The spring exerts  its  force  in  the direction opposite  the displacement. 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work Done to Stretch a Spring Work and Energy x 2 W   =  F P (x)  dx x 1 F S (x)  = - k x W Natural Length F P F S 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Work Done by a Varying Force Work and Energy l b W   =  F ||   dl l a  l    0 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Work and Energy 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 1A (cont’d) Work and Energy ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],x 2  =  0.030 m W P   =  F P (x)  d x  = 1.1 J   x 1  = 0 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Work and Energy (i)   F.B.D. first ! (ii) x  < 0 F S  = - k x 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
Example 2 (cont’d) Work and Energy (a) The work done by the  spring  is (b)  W f  = -   k  F N  ( x 2  – x 1 ) = -4.41 (0 + 0.200) (c)  W net   =  W S  +  W f  = 5.00 - 4.41  x  0.200 (d) Work-Energy  Theorem :  W net   =   K 2  – K 1    4.12 = (1/2)  m   v 2  – 0     v  = 2.34 m/s x 2  =  0 m W S   =  F S (x)  d x  =  +5.00 J x 1  =  -0.200 m 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
REFERENSI ,[object Object],07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |
TERIMA KASIH 07/03/11 ©  2010 Universitas Negeri Jakarta  |  www.unj.ac.id  |

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Fisika Dasar I Per.09

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  • 18. Nuclear Energy The sun’s energy is produced from a nuclear fusion reaction in which hydrogen nuclei fuse to form helium nuclei. 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 19.
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  • 26. Chemical  Heat  Mechanical 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 27.
  • 28.
  • 29.
  • 30. Work Done by a Constant Force (II) Work and Energy Example: Work done on the bag by the person..  Special case: W = 0 J a) W P = F P d cos ( 90 o ) b) W g = m g d cos ( 90 o )  Nothing to do with the motion 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 31.
  • 32.
  • 33.
  • 34.
  • 35.
  • 36. Example 2 (cont’d) Work and Energy (1) W net = F d (a) cos 180 o = - F d (a) = 0 – m v (a) 2 / 2  - F x (20.0 m) = - m (16.7 m/s) 2 / 2 (2) W net = F d (b) cos 180 o = - F d (b) = 0 – m v (b) 2 / 2  - F x ( ? m) = - m (33.3 m/s) 2 / 2 (3) F & m are common. Thus, ? = 80.0 m 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 37. Work-Energy Theorem Work and Energy W net = F net d = ( m a ) d = m [ ( v 2 2 – v 1 2 ) / 2d ] d = (1/2) m v 2 2 – (1/2) m v 1 2 = K 2 – K 1 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 38. Spring Force (Hooke’s Law) Work and Energy F S (x) = - k x F P F S Natural Length x > 0 x < 0 Spring Force (Restoring Force): The spring exerts its force in the direction opposite the displacement. 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 39. Work Done to Stretch a Spring Work and Energy x 2 W = F P (x) dx x 1 F S (x) = - k x W Natural Length F P F S 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 40. Work Done by a Varying Force Work and Energy l b W = F || dl l a  l  0 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 41.
  • 42.
  • 43.
  • 44. Example 2 (cont’d) Work and Energy (a) The work done by the spring is (b) W f = -  k  F N ( x 2 – x 1 ) = -4.41 (0 + 0.200) (c) W net = W S + W f = 5.00 - 4.41 x 0.200 (d) Work-Energy Theorem : W net = K 2 – K 1  4.12 = (1/2) m v 2 – 0  v = 2.34 m/s x 2 = 0 m W S = F S (x) d x = +5.00 J x 1 = -0.200 m 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |
  • 45.
  • 46. TERIMA KASIH 07/03/11 © 2010 Universitas Negeri Jakarta | www.unj.ac.id |