Elastic Collision: Can anyone help mefill in the missing values in red , I don\'
ID: 1743486 • Letter: E
Question
Elastic Collision: Can anyone help mefill in the missing values in red , I don't know how to calculatethem. lifesaver points! (The V1i's etc are in m/s)Mass of the left cart: 190.0 g
Mass of the right cart 199.9 g
N of trial V1i V1f V2i V2f Pi (kg*m/s) Pf(kg*m/s) Ei (J) Ef(J) |Pi-Pf| |Ei-Ef|
1 .907 .705 .567 .225
2 1.21 1.55 .705 .425
3 4.85 1.55 1.01 .405
Explanation / Answer
Given : Mass ofthe left cart (m1 ) = 190.0g = 0.19 kg Mass ofthe right cart (m2) = 199.9g = 0.1999 kg N of trial V1i V1f V2i V2f1 .907 .705 .567 .225
2 1.21 1.55 .705 .425
3 4.85 1.55 1.01 .405 For : V1i V1f V2i V2f
1 .907 .705 .567 .225 Initial momentum (Pi ) = m1 V1i + m2 V2i = (0.19kg) (0.907) + (0.1999kg)(0.567) = 0.287 kg - m/s ------------------(1) Final momentum (Pf ) = m1 V1f + m2 V2f
= (0.19kg)(0.705) + (0.1999kg) (0.225) = 0.179 kg-m/s -----------(2) Inital energy (Ei ) = 1/2 m1 V1i2 + 1/2m2 V2i2 ----------------(3) Final energy is (Ef) = 1/2 m1 V1f 2 +1/2 m2V2f 2 ---------------(4) plug the values and solve to get (Ei ) & (Ef) . |Pi-Pf| = 0.179 kg-m/s - 0.287 kg -m/s = 0.108 kg - m /s Equation (3) - (4) gives : |Ei-Ef|
plug the values and solve to get (Ei ) & (Ef) . |Pi-Pf| = 0.179 kg-m/s - 0.287 kg -m/s = 0.108 kg - m /s Equation (3) - (4) gives : |Ei-Ef|
Similarly do it for another two sequences. Hope this helps u!
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