inelasticity - 2025 ACF Fall

Question

In collisions with the “perfect” form of this property, two objects stick together and the coefficient of restitution is zero. For 10 points each:

[10e] Name this property of all real-world collisions. In collisions with this property, energy is lost to the environment.

ANSWER: inelasticity [accept inelastic collisions; accept partial inelasticity or perfect inelasticity]

[10m] Perfectly elastic conditions maximize this quantity, denoted J, which equals the time integral of force.

ANSWER: impulse

[10h] This function is sometimes called the unit impulse since if force equals this function of time, impulse equals the Heaviside step function. The position of a point mass is represented by this function.

ANSWER: Dirac delta function [prompt on Dirac function]

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Summary


Northern California	Main	Y	4	22.50	50%	100%	75%
Southern California	Main	Y	7	20.00	86%	57%	57%
Eastern Canada (1)	Main	Y	5	14.00	60%	40%	40%
Florida	Main	Y	4	12.50	50%	75%	0%
Great Lakes	Main	Y	10	13.00	50%	60%	20%
Lower Mid-Atlantic	Main	Y	9	15.56	78%	56%	22%
Upper Mid-Atlantic	Main	Y	9	20.00	67%	89%	44%
North	Main	Y	4	12.50	50%	50%	25%
Northeast	Main	Y	12	15.83	67%	75%	17%
Pacific	Main	Y	8	8.75	38%	25%	25%
South Central	Main	Y	6	11.67	33%	50%	33%
Southeast	Main	Y	12	16.67	83%	42%	42%
UK (North)	UK	Y	5	16.00	80%	60%	20%
Upstate NY	Main	Y	5	18.00	60%	100%	20%

Data


Berkeley Boss Bandit	Berkeley Little Prince	10	10	10	30
Berkeley Mighty Miner	Berkeley Skeleton King	0	10	0	10
Stanford B	Stanford A	10	10	10	30
Claremont B	UCSD B	10	10	10	30
UC Irvine	UCSD A	10	0	10	20
Claremont C	UC Santa Barbara	10	10	0	20
UCLA A	UCLA C	0	10	0	10
Claremont A	UCLA E	10	0	10	20
USC B	UCLA F	10	10	10	30
UCLA D	USC A	10	0	0	10
Carleton B	Carleton A	0	0	0	0
McGill A	Ottawa D	10	0	10	20
McGill C	Ottawa A	10	10	0	20
McGill B	Ottawa B	10	10	10	30
Ottawa C	McGill E	0	0	0	0
UCF A	Florida A	0	10	0	10
Florida B	South Florida A	10	10	0	20
Florida State A	Florida Tech A	0	10	0	10
Florida Tech B	ERAU Daytona A	10	0	0	10
Michigan State C	CWRU B	0	10	0	10
Ohio State B	CWRU C	10	10	0	20
Louisville A	Kentucky	0	10	0	10
Ohio State A	Louisville D	0	10	0	10
Louisville C	Michigan A	0	0	0	0
Michigan State B	Michigan B	0	0	10	10
Michigan C	Pittsburgh	10	0	0	10
CWRU D	Michigan D	10	0	0	10
Michigan State A	CWRU A	10	10	10	30
Ohio State C	WVU A	10	10	0	20
Berkeley Archer Queen	UCSC	0	10	10	20
UNC A	JMU A	0	10	0	10
William & Mary C	Liberty A	0	10	0	10
UNC D	Liberty B	10	10	0	20
NCSU A	Liberty C	10	0	10	20
William & Mary A	UNC B	10	0	0	10
Virginia Tech B	UNC C	10	10	0	20
VCU A	NCSU B	10	0	0	10
Virginia Tech C	William & Mary B	10	0	0	10
Wisconsin A	Iowa State	10	10	10	30
Wisconsin C	Macalester	0	0	0	0
St. Thomas	Minnesota	0	10	0	10
Michigan Tech	Wisconsin B	10	0	0	10
NYU B	George Mason C	10	10	10	30
Johns Hopkins	Lehigh A	0	10	0	10
Maryland B	Vassar A	10	10	10	30
Princeton	NYU A	10	10	10	30
Lehigh B	Penn	0	10	0	10
Columbia A	Rowan	10	10	0	20
Rutgers D	Columbia B	10	10	0	20
Stony Brook	Rutgers C	0	10	10	20
NYU C	Vassar B	10	0	0	10
Amherst B	Brandeis Mozart	0	10	0	10
Boston University A	Brandeis Bach	10	0	0	10
Brandeis Beethoven	Tufts A	0	10	0	10
Dartmouth B	Brown A	10	10	0	20
Vermont A	Dartmouth C	0	10	0	10
Harvard	Southern Connecticut State University A	10	10	10	30
Amherst A	MIT B	10	10	0	20
Tufts C	Williams C	10	10	0	20
Williams A	Tufts B	10	0	0	10
MIT A	UConn A	10	10	10	30
Vermont B	Brown B	10	10	0	20
Boston College B	Williams B	0	0	0	0
Arizona State A	Alberta B	0	10	0	10
British Columbia A	Arizona State B	0	0	0	0
Washington Chinook	British Columbia B	0	0	0	0
Washington Sockeye	Washington Chum	0	0	0	0
Washington Atlantic	Washington Coho	0	0	0	0
Washington State	Washington Masu	10	0	10	20
Washington Pink	Boise State	10	10	10	30
Washington Steelhead	Texas	10	0	0	10
Central Oklahoma B	Kansas State B	0	0	0	0
Kansas State A	Tulsa B	10	10	10	30
Murray State College B	Oklahoma	0	0	0	0
Nebraska A	Nebraska C	0	10	10	20
Nebraska B	Harding	0	10	0	10
Murray State College A	Rose State	10	0	0	10
Auburn A	Alabama A	10	0	0	10
Chipola College	Auburn B	0	0	0	0
Auburn C	Tennessee B	10	0	0	10
Emory A	Clemson B	0	0	0	0
Georgia A	Georgia Tech A	10	0	10	20
Georgia Tech C	Vanderbilt B	10	10	10	30
Georgia Tech D	Vanderbilt C	10	10	0	20
Georgia Tech E	Clemson C	10	10	10	30
Georgia Tech F	Montevallo	10	10	10	30
Clemson A	South Carolina A	10	10	10	30
Tennessee A	Sewanne	10	0	0	10
Vanderbilt A	Tennessee Tech	10	0	0	10
Edinburgh C	Durham B	10	10	0	20
Durham C	York	10	10	0	20
Durham D	Sheffield B	0	0	0	0
Durham A	Edinburgh D	10	10	10	30
Edinburgh B	Sheffield A	10	0	0	10
Rochester	Binghamton A	0	10	0	10
RIT A	Binghamton B	10	10	10	30
Cornell A	Binghamton C	10	10	0	20
RIT B	Cornell B	10	10	0	20
Cornell C	Cornell D	0	10	0	10
Virginia Tech A	JMU B	10	10	10	30