Babynini
  • Babynini
Work and Force.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Babynini
  • Babynini
A car drives 800ft on a road that is inclined 9 degrees to the horizontal. The car weighs 2700lb. Thus gravity acts straight down on the car with a constant force. F=-2700j. Find the work done by the car in overcoming gravity. You are expected to use vectors and the appropriate formula to find work.
rational
  • rational
|dw:1433491777790:dw|
rational
  • rational
Force : F = <0, -2700> Displacement : s = <800cos(9), 800sin(9)> yes ?

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Babynini
  • Babynini
yep yep.
Babynini
  • Babynini
what's that j thing? that would be just the other angle there? 81?
rational
  • rational
i : unit vector along horizontal direction (x axis) j : unit vector along vertical direction (y axis)
rational
  • rational
F=-2700j is same as F= 0i - 2700j
Babynini
  • Babynini
right right.
Babynini
  • Babynini
so now?
Babynini
  • Babynini
w = f *d ?
rational
  • rational
simply take the dot product for work done \[W = F\bullet s \]
rational
  • rational
W = F.s = <0, -2700> . <800cos(9), 800sin(9)> = ?
Babynini
  • Babynini
337898.445
rational
  • rational
what happened to the negative sign
Babynini
  • Babynini
..it didn't want to be there xD *-337898.445
Babynini
  • Babynini
the work is negative?
rational
  • rational
Yes the work done by gravity is negative so, the work done by the car will be positive : +337898.445
Babynini
  • Babynini
Fabulous. That makes sense :) thank you soo much!
rational
  • rational
yw:)

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