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Physics: Collisions, Momentum


budullewraagh

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hokay so

 

tarzan is trying to save jane from an angry-angry hippo. he quickly climbs a tree and swoops down on a vine to pick her up and deliver her to the safety of a 9 meter high cliff. if tarzan has twice the mass of jane, how fast must he be going before impact to safely deliver her to the cliff?

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Use kinetic and potential energy to solve it. That should give you the answer pretty simply. Remember that the energy remains the same when tarzan grabs jane, so if his mass increases by picking her up, his speed will decrease.

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you know, i would do that except it is midnight and i have to do a physics lab first, then write an english paper, write maybe 5 pages of bio, then do a packet of questions for bio. all in all i'm thinking 5 hours of work in total.

 

sad thing is that ive been working since i've come home but i came home late because i was busy representing my school at a competition for "smart" people. i could not have done anything last night because i had a physics test today and i was away for 5 hours after school due to a concert. ie, life is hell tonight. thank you for your help

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Use kinetic and potential energy to solve it. That should give you the answer pretty simply. Remember that the energy remains the same when tarzan grabs jane, so if his mass increases by picking her up, his speed will decrease.

 

The kinetic energy does not stay the same, because the collision is completely inelastic. You have to use conservation of momentum during the collision.

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Swansont: The Kinetic energy *does* stay the same in an inelastic condition. The object just "gains mass" via the collision. KE = 0.5*m*V^2 KE is the same before and after, but m increases, so v must decrease. If you're doing it right, you'll get the same answer as with conservation of momentum.

 

budullewraagh: While I sympathize with your plight, that does not justify what amounts to copying your homework from a friend.

 

If someone else wants to simply hand you the answer for you to copy down, that's fine, but I prefer to keep my academic integrity.

 

Mokele

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Find the velocity you need to get Jane and Tarzan safely to the cliff, and use the conservation of momentum. Just set (Mass of Tarzan + Mass of Jane)*(velocity needed to get safely to the cliff) = (Mass of Tarzan)*(velocity before impact), and solve for velocity before impact.

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Swansont: The Kinetic energy *does* stay the same in an inelastic condition. The object just "gains mass" via the collision. KE = 0.5*m*V^2 KE is the same before and after' date=' but m increases, so v must decrease. If you're doing it right, you'll get the same answer as with conservation of momentum.

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Absolutely not. In an inelastic collision KE is converted into other forms. KE is conserved in elastic collision, by definition. KE is not conserved in an inelastic collision, by definition.

 

Tarzan's mass is 2m, Jane's is m. Tarzan starts with a speed v1. His initial kinetic energy is mv12

 

2mv1 = 3mv2 from conservation of momentum

 

so v2=2/3 v1

 

KE2 =1/2 * (3m) * (2/3 v1)2 = 2/3 mv12

 

1/3 of the original KE was lost. The collision made a sound, temeratures went up somewhat, there was work of deformation (haven't you ever seen someone break a bone in a collision? Ever wonder where that energy comes from?)

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