anonymous
  • anonymous
A car traveling at 60 km/h will skid 30 m when its brakes are locked. If the same car is traveling at 180 km/h, what will be its skidding distance? Show your work.
Chemistry
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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aaronq
  • aaronq
i guess, if you assume that it's proportional, then you can build a ratio: \(\dfrac{60\;km/h}{30\;m}=\dfrac{180\;km/h}{x\;m}\)
anonymous
  • anonymous
When I solve that am I supposed to see how many times 30 goes into 60 and 180?
anonymous
  • anonymous
\[\frac{ 2km/h }{ m } = \frac{ 6km/h }{ x m }\] ?

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anonymous
  • anonymous
Yes, that works, but I would convert meters to kilometers, or vice versa just to make the calculation easier.
anonymous
  • anonymous
Are 500 km equivalent to 1 m?
anonymous
  • anonymous
1km = 1000m
anonymous
  • anonymous
\[\frac{ 2km/h }{ 1000km } = \frac{ 6km/h }{ 1000km \times x }\] ?
anonymous
  • anonymous
No, you converted made 1 m = 1000m; let us start from the beginning. Write your original first equation down.
anonymous
  • anonymous
\[\frac{ 60km/h }{ 30m } = \frac{ 180km/h }{ x m }\]
anonymous
  • anonymous
For simplicity's sake, we shall convert km to m. 1 km is 1000m. So 60 and 180 become 60,000 and 180,000 respectively.
anonymous
  • anonymous
\[\frac{ 60,000m/h }{ 30m } = \frac{ 180,000m/h }{ x m }\]
anonymous
  • anonymous
is that correct?
anonymous
  • anonymous
\[\frac{ 20,000m/h }{ m } = \frac{ 60,000m/h }{ xm }\]
anonymous
  • anonymous
Keep the 180,000
anonymous
  • anonymous
\[\frac{ 20,000m/h }{ m } = \frac{ 180,000m/h }{ xm }\]
anonymous
  • anonymous
good, now cross multiply, keep the units, u should see the unit "m^2/h"
anonymous
  • anonymous
\[\frac{ 20,000m ^{2}/hx }{ 60,000m^2/h }\] I'm not confident with the placement of the x value
anonymous
  • anonymous
Let's go back to your previous step. 20,000 xm^2/h = 60,000 m^2/h is what you get after cross multiplying.
anonymous
  • anonymous
Oooooh my fault... I see
anonymous
  • anonymous
\[\frac{ 20,000m ^{2}/hx }{ 60,000m^2/h }\] I'm not confident with the placement of the x value
anonymous
  • anonymous
Oooooh my fault... I see
anonymous
  • anonymous
now divide each side by 20,000 m^2/h (from my equation)
anonymous
  • anonymous
Would that be 30,000m/hx
anonymous
  • anonymous
AH, I know where you went wrong. 60,000/30 is not equal to 20,000/1
anonymous
  • anonymous
So, 2,000 xm^2/h = 60,000 m^2/h is what you actually get after cross multiplying.
anonymous
  • anonymous
make that 60,000 a 180,000 actually
anonymous
  • anonymous
90m, is your final answer.
anonymous
  • anonymous
Thank you so much for going step by step with me ♥
anonymous
  • anonymous
Glad to well :).
anonymous
  • anonymous
help*
anonymous
  • anonymous
If you could I'd appreciate some help on a few more questions but I understand if you can't, thank you again. [:
anonymous
  • anonymous
ask away, I'll see what I can do
anonymous
  • anonymous
thank you

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