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1001 Physics #226 & #227
chelsea_mcleod
#1 Posted : Tuesday, July 05, 2011 2:54:06 PM
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Hi,
I'm just confused at what to plug into the equations to solve these problems. I get how you do it, but you don't have the mass of the car or an angle. So the equations they give you in the answers aren't making sense to me. Any help would be great!
Thanks
gupta
#2 Posted : Wednesday, July 06, 2011 12:16:09 AM
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For 226, the angles or the mass is not important. The question does not state anything about it being on an angle. Hence, we assume that there is no angle - it is horizontal.
Secondly, I like to do questions like these using change in energy equations. We know that it started off with a kinetic energy dictated by its mass and velocity (20m/s).
We know that friction was working against it till it had ZERO kinetic energy. Therefore, the change in energy is work done by friction = initial kinetic energy of the car.
Work equation due to friction is (Ffriction)(d) - now further elaborated, Ffriction is equal to (m)(g)(mu) because force of friction is normal force times coefficient of kinetic friction (mu). Hence, work equation is (m)(g)(mu)(d)
The kinetic energy equation is 0.5mv^2.
Now, we equate them to each other like so:
(m)(g)(mu)(d) = 0.5mv^2
We see that the masses cancel out! :)
So, we get (10)(0.1)(d) = 0.5(20^2)
d = 200.

Now, for 227, since we have displacement and velocity from the previous question, we can figure out time :)

Hope this helps! :)
And so, we are left with (10)(0.1)
emsharp
#3 Posted : Monday, July 25, 2011 9:28:29 PM
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So the answer for 227 is 20s, but every way I do this question I come up with 10s. Any ideas?
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