Dr. Knotts's kids are chasing each other through the yard. Arlo is in the lead and Greyson is chasing him from behind. Arlo has a mass of 14.0 kg and is running at 1.09 m/s. Greyson has a mass of 17.6 kg and is running at 1.39 m/s. After they run into each other, Greyson has a velocity of 1.12 m/s in the same direction he was already moving.**Questions:**1. How fast is Arlo moving just after they collide? \( V_{\text{Arlo}} = \_\_\_ \, \text{m/s} \)2. What is the total kinetic energy of the system before the collision? \( KE_{\text{initial}} = \_\_\_ \, \text{J} \)3. What is the total kinetic energy of the system after the collision? \( KE_{\text{final}} = \_\_\_ \, \text{J} \)4. Is this collision considered elastic, inelastic, or both? - [ ] Both - [ ] Inelastic - [ ] Elastic

Name: Dr. Knotts's kids are chasing each other through the yard. Arlo is in
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Description: Dr. Knotts's kids are chasing each other through the yard. Arlo is in the lead and Greyson is chasing him from behind. Arlo has a mass of 14.0 kg and is running at 1.09 m/s. Greyson has a mass of 17.6 kg and is running at 1.39 m/s. After they run in

The total momentum of the system must be conserved. The momentum conservation gives, mAvi,A+mGvi,G=mAvf,A+mGvf,G Here, mA is the mass of Arlo, vi,A is the velocity of Arlo before the collision, mG is the mass of Greyson, vi,G is the velocity of Greyson before the collision, vf,A is the velocity of Arlo after the collision and vf,G is the velocity of Greyson after the collision. Rearranging the equation, mAvi,A+mGvi,G-mGvf,G=mAvf,Avf,A=vi,A+mGmAvi,G-vf,G=1.09 m/s+17.6 kg14.0 kg1.39 m/s-1.12 m/s=1.43 m/sThe total kinetic energy of the system before the collision is given by, KEinitial=12mAvi,A2+12mGvi,G2=1214.0 kg1.09 m/s2+1217.6 kg1.39 m/s2=25.3 J The total kinetic energy of the system after the collision is given by, KEifinal=12mAvf,A2+12mGvf,G2=1214.0 kg1.43 m/s2+1217.6 kg1.12 m/s2=25.3 J Since the total kinetic energy of the system before collision is equal to the total kinetic energy of the system after the collision, the kinetic energy is conserved. Therefore, the collision is elastic.

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Dr. Knotts's kids are chasing each other through the yard. Arlo is in the lead and Greyson is chasing him from behind. Arlo has a mass of 14.0 kg and is running at 1.09 m Greyson has a mass of 17.6 kg and is running at 1.39 m After they run into each other, Greyson has a velocity of 1.12 m , in the same direction he was already moving. How fast is Arlo moving just after they collide? VArlo = Enter a number. What is the total kinetic energy of the system before the collision? KEinitial = What is the total kinetic energy of the system after the collision? KEfinal = Is this collision considered eleastic, inelastic, or both? Both Inelastic Elastic

Dr. Knotts's kids are chasing each other through the yard. Arlo is in the lead and Greyson is chasing him from behind. Arlo has a mass of 14.0 kg and is running at 1.09 m Greyson has a mass of 17.6 kg and is running at 1.39 m After they run into each other, Greyson has a velocity of 1.12 m , in the same direction he was already moving. How fast is Arlo moving just after they collide? VArlo = Enter a number. What is the total kinetic energy of the system before the collision? KEinitial = What is the total kinetic energy of the system after the collision? KEfinal = Is this collision considered eleastic, inelastic, or both? Both Inelastic Elastic

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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