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edison's Avatar
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Joined: 19 Oct 2006
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4 May 2008 16:57:26 IST
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 A 2000 kg car whose brakes have failed coasts at 30 mph toward a 1000 kg car whose brakes are locked in "park" mode. If the coefficient of sliding friction between the 1000 kg car and the road is 0.7, determine how long after the first collision the second collision occurs. (Assume elastic collisions.) Find the distance between collisions. Will there be a third collision? Prove or disprove.





 


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Aatish Pandit's Avatar

Blazing goIITian

Joined: 3 Feb 2007
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4 May 2008 17:17:27 IST
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I might look foolish while saying this........


Time after first collision to second collision according to my calcs...is........


0.198 seconds.........is it correct sir????.....even i myself cannt believe.......someone else also pls try.......

akshay A NEW BEGINNING...'s Avatar

Blazing goIITian

Joined: 25 Dec 2007
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4 May 2008 17:24:31 IST
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I cannot understand why the second collision will take place
since the collision is elastic....
Aatish Pandit's Avatar

Blazing goIITian

Joined: 3 Feb 2007
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4 May 2008 17:40:02 IST
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See buddy.....when firstly the car (break failed) hits the other car (at rest) then due to elastic collision....


the other car.......goes away with some velocity.....but as there is friction between car and surface.......


it starts retarding after sometime.......BUT THE CAR (break failed) HAS NOT STOPPED>>>.........


it comes again and again hits the same car.,......


 


WORK IN PROGRESS.........for remaining question.......


Blazing goIITian

Joined: 1 Jul 2007
Posts: 301
4 May 2008 17:40:20 IST
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is the answer to the first part 60/7 seconds

Aatish Pandit's Avatar

Blazing goIITian

Joined: 3 Feb 2007
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4 May 2008 17:41:58 IST
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how u proceeded rohit.....can u pls telll.........

have converted the velocity from milesperhour to meterpersec////

Blazing goIITian

Joined: 1 Jul 2007
Posts: 301
4 May 2008 17:52:31 IST
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sir,i need the exact value of 1 mile in km/hr in the last step.

Aatish Pandit's Avatar

Blazing goIITian

Joined: 3 Feb 2007
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4 May 2008 18:02:54 IST
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1 mile = 1609.344 m

Blazing goIITian

Joined: 1 Jul 2007
Posts: 301
4 May 2008 18:10:43 IST
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is the answer 3.83 sec

Aatish Pandit's Avatar

Blazing goIITian

Joined: 3 Feb 2007
Posts: 1200
4 May 2008 18:35:23 IST
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Now I m getting........1.98 seconds.......



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