Dinamica de la particula (trabajo y energia)

8/17/2019 Dinamica de la particula (trabajo y energia)

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Asignatura: Dinámica de la

partículaUNIDAD IV TRABAJO Y ENERIA

UNIDAD IV TRABAJO Y ENERIA


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!"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

-ERRARI .A-ERRRIV/A0 1234m56 3#!33 1s

a=27.78m /s

3=9.26m /s a=9.26m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(9.26)(402.336)

V 22

=√7451.26

V789"17 m5s

V 2 X a

=∆t 86.32

9.26=9.32 s

w1=

1

2(m)(v 2)2 w

1=1

2(1225)(86.32)2

w1

=4563824.72 J

Po= w∆ t

Po=489,680.7639 [w ]

Hp= Po1 Hp

Hp=489,680.7639 [w ]

746

Po=656.40 [ Hp ]



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;OR!! TURBO

V/A0 1!94m56 3#!33 1"!s

a=27.78m /s

3.1=8.96m /s a=8.96m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 2

2

=2(8.96)(402.336)

V 22=√7209.86

V789?">! m5s

V 2 X a

=∆t 84.91

8.96=9.47 s

w2=

1

2(m)(v 2)2 w2=

1

2(1680)(84.91)2

w1=6056,154.804J

Po= w∆ t

Po=639,064.0951[w ]

Hp= Po1 Hp

Hp=639,064.095 [w ]

746

Po=856.65 [ Hp ]



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$ANA E. $ORREDOR ! $ON E. -ERRARI .A-ERRARI ;OR 3"!2s AUN*UE E.;OR


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7"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

$ADI..A$ $T<

V/A0 7?>4m56 3#!33 "1s

a=27.78m /s6.3 =4.37m/ s a=4.37m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(4.37)(402.336)

V 22=√3516.4664

V782>"7> m5s

V 2 X a

=∆t 59.29

4.37=13.57 s

w1=

1

2(m)(v 2)2 w

1=1

2(1788 Kg)(59.29)2

w1=3142681.865J

Po= w

∆ t

Po=231590.410[w ]

Hp= Po1 Hp



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Hp=231590.410 [w]

746

Po=310.44 [ Hp]

/ER$EDE< BEN $733

V/A0 714m56 3#!33 "2s

a=27.78m /s

7.5=3.704m/s a=3.704m/s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(3.704)(402.336)

V 22=√2980.505

V782?"2> m5s

V 2 X a

=∆t 54.59

3.704=14.73 s

w2=

1

2(m)(v 2)2 w2=

1

2(1445kg)(54.59m /s)2

w1=2153099.202

J

Po= w∆ t

Po=146469.3335[w ]



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Hp= Po1 Hp

Hp=146469.3335[w ]

746

Po=196.339[ Hp]

$ANA E. $ORREDOR ! $ON E. $ADI..A$ $T< ;OR !"!1s

?37"11m



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AUDI A? T-! m5s

V 2 X a

=∆t 56.91

4.02=14.15 s

w1=

1

2(m)(v 2)2 w1=

1

2(1560 Kg)(56.91)2



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w1=2,526,223.518J

Po= w∆ t

Po=178,531.6974 [w ]

Hp= Po1 Hp

Hp=178,531.6974 [w ]

746

Po=239.31[ Hp ]

B/C !9

V/A0 7234m56 3#!33 ?"?s

a=27.78m /s

4.4=6.31m /s a=6.31m/ s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(6.31)(402.336)

V 22=√5080.4064

V78!"7 m5s

V 2 X a

=∆t 71.27

6.31=11.29s



10/33

w2=

1

2(m)(v 2)2 w2=

1

2(1560kg)(71.27m /s )2

w1=3,961,942.062J

Po= w∆ t

Po=350,924.89[w ]

Hp= Po1 Hp

Hp=350,924.89[w]

746

Po=470.40[ Hp]

$ANA E. $ORREDOR 7 $ON E. B/C !9 ;OR 7"9s



11/33

?37"11m

?"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

/IT


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V 22=2(4.02)(402.336)

V 22=√3239.67

V782">! m5s

V 2 X a

=∆t 59.91

4.02=14.15 s

w1=

1

2(m)(v 2)2 w

1=1

2(1600 Kg)(56.91)2

w1=2590998.48 J

Po= w

∆ t

Po=183,109.4332[w]

Hp= Po1 Hp

Hp=183,109.4332[w ]

746

Po=245.45[ Hp]

DODE $=ARER !>3

V/A0 7124m56 3#!33 1"2s

a=27.78m /s

3.5=7.93m /s a=7.93m/ s



13/33

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(7.93)(402.336)

V 22=√6381.04

V78>"99m5s

V 2 X a

=∆t 79.88

3.5=22.82 s

w2=

1

2(m)(v 2)2 w2=

1

2(1700kg)(79.88m /s )2

w1=5423692.24 J

Po= w∆ t

Po=237672.7537 [w]

Hp= Po1 Hp

Hp=237672.7537[w ]

746

Po=318.59[ Hp ]

$ANA E. $ORREDOR ! $ON E. E$.I;9 ;OR "92s



14/33

?37"11m




15/33


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$ADI..A$ $T<

V/A0 7?>4m56 3#!33 "1s

a=27.78m /s

6.3 =4.37m/ s a=4.37m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(4.37)(402.336)

V 22=√3516.4664

V782>"7> m5s

V 2 X a

=∆t 59.294.37

=13.57 s

w1=

1

2(m)(v 2)2 w

1=1

2(1788 Kg)(59.29)2

w1=3142681.865J

Po= w∆ t

Po=231590.410[w ]

Hp= Po1 Hp

Hp=231590.410 [w]

746

Po=310.44 [ Hp ]



17/33

$ANA E. $ORREDOR ! $ON E. -ERRARI.A-ERRARI ;OR 1"91s

?37"11m



18/33

"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( de

milla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

/IT! m5s

V 2 X a

=∆t 59.91

4.02=14.15 s

w1=

1

2 (m)(v 2)2

w1=

1

2 (1600 Kg)(56.91)2

w1=2590998.48 J

Po= w∆ t

Po=183,109.4332 [w ]

Hp= Po1 Hp

Hp=183,109.4332[w ]

746

Po=245.45[ Hp ]



19/33

B/C !9

V/A0 7234m56 3#!33 ?"?s

a=27.78m /s

4.4=6.31m /s a=6.31m/ s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(6.31)(402.336)

V 22=√5080.4064

V78!"7 m5s

V 2 X

a

=∆t 71.27

6.31

=11.29s

w2=

1

2(m)(v 2)2 w2=

1

2(1560kg)(71.27m /s )2

w1=3,961,942.062J

Po= w∆ t

Po=350,924.89[w ]

Hp= Po1 Hp

Hp=350,924.89 [w]

746



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Po=470.40[ Hp ]

$ANA E. B/C ;OR 7"9s

?37"11m



21/33

"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tencia

desarr%lla cada un%,AUDI A? T-! m5s

V 2 X a

=∆t 56.91

4.02=14.15 s

w1=

1

2(m)(v 2)2 w

1=1

2(1560 Kg)(56.91)2

w1=2,526,223.518J

Po= w∆ t

Po=178,531.6974 [w ]



22/33

Hp= Po1 Hp

Hp=178,531.6974[w ]

746

Po=239.31[ Hp]

;OR!! TURBO

V/A0 1!94m56 3#!33 1"!s

a=27.78m /s

3.1=8.96m /s a=8.96m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(8.96)(402.336)

V 22=√7209.86

V789?">! m5s

V 2 X a

=∆t 84.91

8.96=9.47 s

w2=12 (m)(v2)2 w2=12 (

1680)(84.91)2

w1=6056,154.804J

Po= w∆ t



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Po=639,064.0951[w ]

Hp= Po1 Hp

Hp=639,064.095 [w ]746

Po=856.65 [ Hp ]

$ANA E. ;OR


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VO.424m56 3#!33 2"?s

a=27.78m /s

5.4=5.12m /s a=5.12m/ s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(5.12)(402.336)

V 22=√3127.66

V78?"7? m5s

V 2 X a

=∆t 64.24

5.12=12.54 s

w1=

1

2(m)(v 2)2 w1=

1

2(1590 Kg)(64.24 )2



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w1=3,280,788.192J

Po= w∆ t

Po=261,625.85 [w ]

Hp= Po1 Hp

Hp=261,625.85 [w]

746

Po=350.70[ Hp ]

;OR!! TURBO

V/A0 1!94m56 3#!33 1"!s

a=27.78m /s

3.1=8.96m /s a=8.96m /s

V 22=V 1 X 2+2ax ( x2− x1)

V 22=2(8.96)(402.336)

V 22=√7209.86

V789?">! m5s

V 2 X a

=∆t 84.91

8.96=9.47 s



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w2=

1

2(m)(v 2)2 w2=

1

2(1680)(84.91)2

w1=6056,154.804J

Po= w∆ t

Po=639,064.0951[w ]

Hp= Po1 Hp

Hp=639,064.095[w ]

746

Po=856.65 [ Hp]

$ANA E. ;OR


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?37"11m

>"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

NI


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V 22=√3184.20

V782"?7 m5s

V 2 X

a

=∆t 56.42

3.95=14.28 s

w1=

1

2(m)(v 2)2 w

1=1

2(1500 Kg)(56.42)2

w1=2,387,412.3 J

Po= w∆ t

Po=167,185.73[w ]

Hp= Po1 Hp

Hp=167,185.73 [w]

746

Po=22410 [ Hp ]

TOYOTA "?24m56 3#!33 2"!s

a=27.78m /s

5.1=5.44m /s a=5.44m /s

V 22=V 1 X 2+2ax ( x2− x1)



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V 22=2(5.44)(402.336)

V 22=√ 4,383.095

V78"73m5s

V 2 X a

=∆t 66.20

5.1=12.98 s

w2=1

2(m)(v 2)2 w

2=1

2(1690)(66.20)2

w1=3,703,161.8J

Po= w

∆ t

Po=285,297.51[w ]

Hp= Po1 Hp

Hp=285,2970.5193[w]

746

Po=382.43[ Hp]

$ANA E. TOYOTA


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?37"11m

!3"#$alcular la c%mpetencia &irtual entre d%s aut%m'&iles en una pista de ( demilla )*ui+n gana, $uánt% gasta de energía cada un% )*u+ p%tenciadesarr%lla cada un%,

AUDI A? T-


31/33

V/A0 7734m56 3#!33 ">s

a=27.78m /s

6.9=4.02m /s a=4.02m /s

V 2

2

=V 1 X

2

+2ax ( x

2− x

1)

V 22=2(4.02)(402.336)

V 22=√3239.67

V782">! m5s

V 2 X a

=∆t 56.91

4.02=14.15 s

w1=

1

2(m)(v 2)2 w1=

1

2(1560 Kg)(56.91)2

w1=2,526,223.518J

Po= w∆ t

Po=178,531.6974 [w ]

Hp= Po1 Hp

Hp=178,531.6974 [w ]

746

Po=239.31[ Hp ]



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NI


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ANA E. AUDI A? ;OR 3"!1s

?37"11m

Dinamica de la particula (trabajo y energia)

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