8a - Momentum conservation gives: (1) m 1 v 1i + m 2 v 2i =...

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PHY2053 – Section 7392 Quiz #8 Friday, March 5, 2004 Name_______________________________ UFID___________________ Please read the problem carefully and be sure to show all of your work. Partial credit will be given. A 6.00 g object moving to the right at 25.0 cm/s makes an elastic head on collision with a 12.0 g object moving in the opposite direction at 20.0 cm/s. Find the velocity (magnitude and direction) of each object after the collision. Solution: For elastic collisions, two equations hold:
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Unformatted text preview: Momentum conservation gives: (1) m 1 v 1i + m 2 v 2i = m 1 v 1f + m 2 v 2f Energy conservation leads to: (2) v 1i + v 1f = v 2i + v 2f (sum of initial and final velocities is conserved) In our case, equ. (1) gives: (6)(25) + (12)(-20) = 6 v 1f + 12 v 2f or 6 v 1f + 12 v 2f = -90 Equ. (2) gives: 25 + v 1f = -20 + v 2f or v 1f- v 2f = -45 Multiplying the second equation by 12 and adding gives: 18 v 1f = -630 or v 1f = -35 cm/s From this, we find v 2f = 10 cm/s...
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8a - Momentum conservation gives: (1) m 1 v 1i + m 2 v 2i =...

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