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Arbeid door een constante kracht

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1

Arbeid door een constante kracht

𝑊 = |𝐹|. |Δ𝑥|. 𝑐𝑜𝑠𝛼

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2

IFxI

= IFI • cos 𝛼

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3

negatieve arbeid

kracht werkt verplaatsing tegen

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4

positieve arbeid

kracht bevordert verplaatsing

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5

arbeid 0J

kracht heeft geen invloed op verplaatsing (loodrecht)

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6

voorwaarden arbeid

-kracht

-verplaatsing

-kracht en verplaatsing niet loodrecht

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7

W grafisch

Fx • ∆x (opp onder F(x)-grafiek)

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8

Arbeid door een niet-constante kracht:

W = ∫(xeind, xbegin) Fx dx

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9

k

veerconstante

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10

arbeid door kracht op een veer

W = 1/2 k (xe^2 -xb^2)

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11

arbeid veerkracht

W = -1/2 k (xe^2 - xb^2)

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12

arbeid door zwaartekracht

W = ± Fz • ∆y

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13

Kinetische energie:

Ekin= (m•v^2)/2

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14

potentiële gravitatie energie

Epot = mgx

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15

Potentiële elastische energie

Epot = (kx^2)/2

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16

Mechanische energie

Emech = Ekin + Epot

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17

Arbeid-energie-theorema

Wtot = Ekin,e - Ekin,b

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18

Verband arbeid-potentiële energie

Wtot = Epot,b - Epot,e

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19

Wet van behoud van mechanische energie (enkel bij conservatieve)

Emech,b = Emech,e = Ekin,b + Epot,b = Ekin,e + Epot,e

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20

conservatieve krachten

geleverde arbeid niet afhankelijk van gevolgde weg

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21

wet van behoud van energie (niet conservatief)

Etot,b = Etot,e

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22

gemiddeld vermogen

Pgem = I∆WI/∆t

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23

ogenblikkelijk vermogen

lim(∆t→ 0) I∆WI/∆t = dIWI/dt

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24

rendement

èta = Enuttig/Etot

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