momentum - 2025 ACF Fall

Tossup

A form of this quantity is the associated Noether (“NURR-turr”) current when the Lagrangian (-5[1])does not depend on a given coordinate. This quantity’s “conjugate” (10[1])form equals the derivative of the Lagrangian (10[1])with respect (-5[1])to generalized velocity (10[2])and is related (10[2])to q and q-dot (10[1])in Hamilton’s equations. (10[1])Position (10[1])and the generalized (10[2])form of this (10[2])quantity (10[3])are the (10[1]-5[1])usual coordinates (10[1])of (10[1])phase (10[1])space. (10[6]-5[1])The (-5[1])square (10[1])of this quantity’s (10[2]-5[1])“linear” form divided by two times (10[2])mass (10[3]-5[2])equals (-5[1])kinetic (10[2]-5[3])energy. (10[10]-5[7])In the general (10[1])statement (10[1]-5[3])of (-5[2])Newton’s (10[1]-5[3])third (-5[3])law, (10[2]-5[3])force (-5[1])equals (-5[2])the time (10[2])derivative (0[1]-5[4])of this quantity, (10[2]-5[5])which is (-5[1])conserved (-5[2])in all (10[1])collisions. (10[3]0[1]-5[2])For 10 (10[1])points, (10[2])name (10[1])this (10[1])quantity equal to mass times (10[1]-5[1])velocity. (10[5])■END■ (10[31]0[15])

ANSWER: momentum [or momenta; accept generalized momentum or conjugate momenta; accept linear momentum; prompt on p; reject “angular momentum”]

<Editors, Physics>

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Buzzes

Player	Team	Opponent	Position	Value
Tal Bowen	Durham A	Sheffield B	12	-5
Henry Ding	Princeton	Rutgers B	22	10
Lily Katz	Stony Brook	Johns Hopkins	29	10
Aaryan Sumesh	Berkeley Archer Queen	Stanford B	31	-5
Nate Brown	CWRU C	Kentucky	34	10
Jeremy Scurlock	Chipola College	Georgia Tech A	34	10
Taran Knutson	Michigan A	Michigan State A	37	10
Skand Parvatikar	Arizona State B	Washington State	37	10
Ethan Ma	Illinois Blue	Purdue A	41	10
Eames Weeks	Brown A	Tufts A	44	10
Will Barton	Imperial C	Oxford	45	10
Nikhil Nair	Boston University B	Tufts C	48	10
Wesley Stine	Clemson A	Vanderbilt A	48	10
Danny Han	Stanford B	Berkeley Archer Queen	51	10
Will Huang	Wisconsin A	Iowa State	51	10
Annika Larson	Claremont A	UCSD B	52	10
Denali Tran-Le	McGill B	Ottawa D	52	10
Dustin Sanders	Chicago B	Illinois Canada	52	10
Rohan Soni	UCLA F	UCLA E	54	-5
Andrew Wu	Columbia A	NYU B	54	10
Ethen Sun	Toronto C	Toronto D	56	10
Surya Dinesh	MIT A	Williams B	57	10
Pace Klein	CWRU B	Michigan B	58	10
Rishi Mathur	Claremont B	UCLA C	59	10
Dawson Teu	Waterloo A	McMaster A	59	10
Platon Gorokhov	Toronto E	Toronto G	59	10
Liam Rojas	Virginia A	UNC A	59	10
Jesse Mindel	NCSU A	Virginia Tech A	59	10
Rory Moloney	Cambridge E	Warwick	59	10
Alex Forman	Cornell D	RIT A	59	-5
Andrew Nucci	UCLA B	UC Santa Barbara	60	-5
Aarnav Vyas	Illinois Orange	Illinois Champaign	61	10
Taman Truong	USC B	UC Irvine	64	10
Beckett Pursey	Purdue B	WashU Grizzlers	64	-5
Moses Dong	Georgia Tech F	Georgia A	64	10
Liam Henderson	McMaster B	Waterloo B	70	10
Matthew Kohn	Williams A	Dartmouth A	70	10
Nathan Woolery	Louisville C	WVU B	71	10
Elias Lowrey	Lehigh B	Lehigh A	71	-5
Saswat Sasha Tripathi	Chicago A	WashU Grolars	71	-5
Rafael Gómez	Amherst B	Boston College B	71	10
Daniel Lu	Washington Pink	Texas	71	10
Austin Tran	Rose-Hulman A	Iowa A	72	-5
Trenton Burgess	Indiana A	Purdue C	73	-5
Daniel Chen	Emory A	Auburn A	73	10
Daniel Slater	Tennessee Tech	Georgia Tech B	73	10
Antara Bhattacharya	Cambridge A	Cardiff	73	-5
Mata Cooper	Southampton	Cambridge B	73	-5
Kevin Hendargo	UCSD A	UCLA D	74	10
Cranmer McGinn	McMaster C	Brock A	74	10
James Xiao	Toronto A	Toronto B	74	10
Sicheng Jiang	Toronto H	Queen's A	74	10
Nico Pascual	Michigan State B	Michigan C	74	10
Pranet Sirikonda	Ohio State B	Ohio State A	74	-5
Ba Loc Dinh	Illinois Urbana	William Woods University A	74	-5
Misty Chen	Purdue C	Indiana A	74	10
Indigo Khanna	Vermont B	Amherst A	74	-5
Vikram Rajmohan	Amherst A	Vermont B	74	10
Nathan Whittington	Tennessee A	Alabama A	74	10
Caleb Slusher	South Carolina A	Georgia Tech C	74	10
John Shelley	Clemson B	Georgia Tech D	74	-5
Ada Bendel	Bristol	Imperial D	74	-5
Michael Shipman	Cambridge D	Imperial B	74	10
Claire Chambers	Binghamton A	Cornell A	74	-5
Isaiah Schmid	Binghamton B	ESF	74	-5
Abbie Isabel	Edinburgh A	Edinburgh B	77	10
Saju Ramraj	Toronto I	Toronto F	78	-5
Matthew Stall	CWRU D	Louisville B	78	10
Brayden Zhang	Vanderbilt B	Auburn C	78	-5
Andrew Heller	Georgia Tech E	Auburn B	78	-5
Xavier Bornhorst	Maryland A	Maryland C	79	-5
William Berger	Dartmouth C	Brandeis Beethoven	79	-5
Sarah Silverman	Claremont C	UCLA A	80	-5
Zaid Asif	NYU A	Maryland B	80	-5
Andrew Wilson	Montevallo	Sewanne	80	-5
Ben Gardberg	Cornell B	Rochester	80	10
Ryan Liu	Ohio State D	WVU A	81	-5
James O'Reilly	Arizona State A	Washington Steelhead	81	-5
David Latimer	Imperial A	Birmingham	81	-5
Charlie Weaver	Virginia Tech B	William & Mary A	82	-5
Jason Lee	Rutgers A	George Mason A	82	-5
Anne Fjeld	Alberta A	Washington Chum	82	10
Luke Simon	Alberta B	Washington Coho	82	10
Musa Ahmed	Edinburgh C	Sheffield A	82	-5
James Zhao	Vanderbilt C	Mississippi State A	83	-5
Elena Thai	Waterloo C	Guelph A	84	-5
Bonham Buchannon	Louisville D	Pittsburgh	84	-5
Sam Kung	UNC C	VCU A	86	10
Abhinav Dinesh	LSE	Cambridge C	86	10
Abhay Ariyapappillil	Ottawa B	McGill C	87	-5
William Cowperthwait	NCSU B	JMU B	87	-5
Cooper Morris	Columbia B	Rutgers C	87	-5
Aryan Malhotra	Rutgers C	Columbia B	87	0
Jack Meyers	Brown B	Boston College A	87	-5
Maya Hunt	Michigan State C	Michigan State D	90	-5
David Ropp	Duke A	William & Mary C	90	-5
Jun Chen	George Mason C	Vassar B	90	-5
Eugene Kim	Purdue D	Indiana B	90	-5
Jacky Li	MIT B	Harvard	90	10
Yoyo Liu	British Columbia C	British Columbia A	90	10
Benjamin Turner	York	Durham D	90	-5
Nathan Redford	Liberty A	JMU A	92	-5
Jake Markus	Dartmouth B	Brandeis Mozart	93	-5
Alex Hestermann	Washington Sockeye	British Columbia B	93	-5
Charlie Ruff	McGill A	Ottawa A	95	10
Peyton Legg	UCF A	Florida A	96	10
Sai Subramanian	CWRU A	Louisville A	96	-5
Sewanth Paudel	Ohio State C	Michigan D	96	10
Mahathi Veluri	UConn A	Brandeis Bach	96	-5
Ollie Glin-Conway	Imperial D	Bristol	96	10
Christine Prince	Cornell A	Binghamton A	96	0
Sam Hewitt	WashU Grizzlers	Purdue B	98	10
Braydon Morefield	George Mason B	Penn	99	10
Isy Simpkins	Durham B	Edinburgh D	99	10
Alex Mayernick	Lehigh A	Lehigh B	100	10
Daniel Huang	Georgia Tech D	Clemson B	101	10
Jaden Rupolo	Liberty B	Tusculum A	106	-5
Noah Fine	UNC D	UNC B	106	10
Valentina Chamandy	McGill E	Carleton B	107	10
Malcolm Meyn	McGill C	Ottawa B	107	10
Jeremy Kim	Toronto F	Toronto I	107	10
Oliver West	Cambridge B	Southampton	107	10
Emilie Moore	RIT A	Cornell D	107	10
Winston Zuo	UC Santa Barbara	UCLA B	108	10
Nick Machin	UCLA A	Claremont C	108	10
Joseph Wang	UCLA E	UCLA F	108	10
Drake Smith	Carleton A	Ottawa C	108	10
Dylan Steptoe	Guelph A	Waterloo C	108	10
Snehan Saroch	Louisville A	CWRU A	108	10
Elena Yarrington	Michigan State D	Michigan State C	108	10
Peter Zeng	Ohio State A	Ohio State B	108	10
Julia Marder	Pittsburgh	Louisville D	108	0
Josue Lopez	WVU A	Ohio State D	108	10
Cara Leonard	William & Mary C	Duke A	108	10
Erin Williams	JMU A	Liberty A	108	0
Levan Tsiskarisvili	JMU B	NCSU B	108	0
Caleigh Greene	Tusculum A	Liberty B	108	0
Samuel Li	William & Mary A	Virginia Tech B	108	10
Nicholas Decker	George Mason A	Rutgers A	108	0
Aaron Henry	Maryland C	Maryland A	108	0
Rohit Chintala	Maryland B	NYU A	108	10
John Shelly	Rowan	NYU C	108	0
Renita Tang	NYU C	Rowan	108	0
Alex Wong	Rutgers D	Vassar A	108	10
Miranda Chen	Vassar B	George Mason C	108	10
Roy Yang	WashU Grolars	Chicago A	108	0
Alex Dzurick	William Woods University A	Illinois Urbana	108	10
Grace Early	Iowa A	Rose-Hulman A	108	10
Luke Bromley	Indiana B	Purdue D	108	10
Steven Huang	Boston College A	Brown B	108	10
Jack Granahan	Brandeis Mozart	Dartmouth B	108	0
Jack Feinberg	Brandeis Bach	UConn A	108	0
Cy Stavros	Vermont A	Boston University A	108	10
Annabelle Koopmans	Washington Atlantic	Boise State	108	0
Joyann Hua	British Columbia B	Washington Sockeye	108	10
Sruti Banerjee	Washington Chinook	Washington Masu	108	0
Hamza Ali	Washington Masu	Washington Chinook	108	0
Alan Fan	Washington Steelhead	Arizona State A	108	10
Abby Tipton	Auburn C	Vanderbilt B	108	10
Coy Mier	Auburn B	Georgia Tech E	108	10
Veer Vanmali	Mississippi State A	Vanderbilt C	108	10
Canaan Martin	Tennessee B	Clemson C	108	10
Alex Irvine	Sheffield A	Edinburgh C	108	10
Stephen Donoghue	Sheffield B	Durham A	108	10
Rob Morris	Durham D	York	108	10
Aeron Wheel	Cardiff	Cambridge A	108	10
James Mogg	Birmingham	Imperial A	108	10
Anna Inman	ESF	Binghamton B	108	0
Eli O'Sick Johnson	Binghamton C	Cornell C	108	10

Summary

Tournament	Edition	TUH	Conv. %	Neg %	Average Buzz
UK (North)	UK	5	100%	60%	100.00
UK (South)	UK	8	100%	50%	85.38
Northern California	US	1	100%	100%	51.00
Southern California	US	7	100%	43%	81.86
Eastern Canada (1)	US	5	100%	20%	93.80
Eastern Canada (2)	US	9	100%	22%	75.67
Florida	US	1	100%	0%	96.00
Great Lakes	US	12	92%	42%	80.00
Lower Mid-Atlantic	US	9	67%	56%	87.67
Upper Mid-Atlantic	US	12	67%	50%	78.50
Midwest	US	9	89%	67%	81.25
North	US	1	100%	0%	51.00
Northeast	US	12	75%	42%	74.44
Pacific	US	9	78%	22%	82.57
Southeast	US	13	92%	38%	81.08
Upstate NY	US	5	60%	60%	98.33