Physics experiment formal report

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Sheet1

Table 1 Glider masses -with attachment
w/0.100kg ±s
Projectile, mp (kg) 0.1998 0.2998 0.0010
Target, mt (kg) 0.2006 0.3006 0.0010
Flag Length proj. (m) 0.1 0.0010
Flag Length Targ. (m) 0.1 0.0010
Time meas. (s) 0.0010
Table 2 collision 1: Equal masses - near elastic
Projectile Projectile Target Target Total Total
Trial 1 ±s 2 ±s 1 ±s 2 ±s 1 ±s 2 ±s Run #14 Run #14 Run #14 Run #14
ΔtB (s) 0.1221 0.0010 0.1388 0.0010 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
ΔtA (s) 0.1298 0.0010 0.1525 0.0010 0.1221 0.8193 0.1298 0.7703
vB (m/s) 0.8193 0.0106 0.7203 0.0089
vA (m/s) 0.7703 0.0097 0.6556 0.0078 Run #15 Run #15 Run #15 Run #15
pB (kg-m/s) 0.1637 0.0023 0.1439 0.0019 0.1637 0.0023 0.1439 0.0019 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
pA (kg-m/s) 0.1545 0.0021 0.1315 0.0017 0.1545 0.0021 0.1315 0.0017 0.1388 0.7203 0.1525 0.6556
KB (J) 0.0671 0.0019 0.0518 0.0014 0.0671 0.0019 0.0518 0.0014
KA (J) 0.0595 0.0015 0.0431 0.0011 0.0595 0.0015 0.0431 0.0011
Table 3 Collision 2: Smaller mass at rest - near elastic
Projectile + .1000kg Projectile Target Target Total Total
Trial 1 ±s 2 ±s 1 ±s 2 ±s 1 ±s 2 ±s Run #26 Run #26 Run #26 Run #26
ΔtB (s) 0.1160 0.0010 0.1227 0.0010 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
ΔtA (s) 0.7777 0.0010 1.1694 0.0010 0.1243 0.0010 0.1165 0.0010 0.116 0.8619 0.1243 0.8045
vB (m/s) 0.8619 0.0114 0.8147 0.0105 0.7777 0.1286
vA (m/s) 0.1286 0.0013 0.0855 0.0009 0.8045 0.0103 0.8585 0.0113 Run #29 Run #29 Run #29 Run #29
pB (kg-m/s) 0.2584 0.0036 0.2442 0.0034 0.2584 0.0036 0.2442 0.0034 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
pA (kg-m/s) 0.0386 0.0004 0.0256 0.0003 0.1614 0.0022 0.1722 0.0024 0.1999 0.1659 0.1978 0.1741 0.1227 0.8147 0.1165 0.8585
KB (J) 0.1114 0.0030 0.0663 0.0017 0.1114 0.0030 0.0663 0.0017 1.1694 0.0855
KA (J) 0.0025 0.0001 0.0007 0.0000 0.0649 0.0017 0.0739 0.0020 0.0674 0.0650 0.0747 0.0739
Table 4 Collisions 3: Larger mass at rest - near elastic
Projectile Projectile Target + .1000kg Target Total Total
Trial 1 ±s 2 ±s 1 ±s 2 ±s 1 ±s 2 ±s Run #19 Run #19 Run #19 Run #19
ΔtB (s) 0.1273 0.0010 0.1223 0.0010 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
ΔtA (s) 0.5639 0.0010 0.4915 0.0010 0.1918 0.0010 0.1776 0.0010 0.1273 0.7854 0.1918 0.5213
vB (m/s) 0.7854 0.0100 0.8176 0.0106 0.5639 0.1773
vA (m/s) -0.1773 -0.0018 -0.2035 -0.0021 0.5213 0.0059 0.5630 0.0065 Run #20 Run #20 Run #20 Run #20
pB (kg-m/s) 0.1569 0.0021 0.1634 0.0023 0.1569 0.0021 0.1634 0.0023 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
pA (kg-m/s) -0.0354 -0.0004 -0.0407 -0.0005 0.1567 0.0019 0.1692 0.0021 0.1213 0.1607 0.1286 0.1741 0.1223 0.8176 0.1776 0.563
KB (J) 0.0616 0.0016 0.0668 0.0018 0.0616 0.0016 0.0668 0.0018 0.4915 0.2035
KA (J) 0.0031 0.0001 0.0041 0.0001 0.0408 0.0009 0.0318 0.0007 0.0440 0.0410 0.0359 0.0321
Table 5 Collision 4 : Larger mass at rest - inelastic
Projectile Projectile Target + .1000kg Target Total Total
Trial 1 ±s 2 ±s 1 ±s 2 ±s 1 ±s 2 ±s Run #22 Run #22 Run #22 Run #22
ΔtB (s) 0.1398 0.0010 0.1246 0.0010 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
ΔtA (s) 0.4190 0.0010 0.3784 0.0010 0.4288 0.0010 0.3854 0.0010 0.1398 0.7154 0.4288 0.2332
vB (m/s) 0.7154 0.0088 0.8027 0.0103 0.419 0.2387
vA (m/s) 0.2387 0.0025 0.2643 0.0027 0.2332 0.0024 0.2594 0.0027 Run #24 Run #24 Run #24 Run #24
pB (kg-m/s) 0.1429 0.0019 0.1604 0.0022 0.1429 0.0019 0.1604 0.0022 Time in Gate 1 (s) Speed in Gate 1 (m/s) Time in Gate 2 (s) Speed in Gate 2 (m/s)
pA (kg-m/s) 0.0477 0.0005 0.0528 0.0006 0.0701 0.0008 0.0780 0.0009 0.1178 0.0848 0.1308 0.0942 0.1246 0.8027 0.3854 0.2594
KB (J) 0.0511 0.0013 0.0644 0.0017 0.0511 0.0013 0.0644 0.0017 0.3784 0.2643
KA (J) 0.0143 0.0003 0.0175 0.0004 0.0082 0.0002 0.0101 0.0002 0.0224 0.0164 0.0276 0.0202
Table 6 Summary of conservation measurements
Collision Trial Total pB sPB Total pA sPA %σ(PA - PB) P Total KB sKB Total KA sKA %s(KA-KB) KE
No. (kg-m/s) (kg-m/s) (kg-m/s) (kg-m/s) % Diff (J) (J) (J) (J) % Diff
1 1 0.1637 0.0023 0.1545 0.0021 1.8880 -5.6043 0.0671 0.0019 0.0595 0.0015 3.6268 -11.2498 7.2535603764
1 2 0.1439 0.0019 0.1315 0.0017 1.7813 -8.6179 0.0518 0.0014 0.0431 0.0011 3.3851 -16.8262 6.7702463298
2 1 0.2584 0.0036 0.1999 0.1659 64.2282 -22.6243 0.1114 0.0030 0.0674 0.0650 58.4002 -39.4779 116.8004329387
2 2 0.2442 0.0034 0.1978 0.1741 71.2987 -18.9968 0.0663 0.0017 0.0747 0.0739 111.5225 12.5875 223.0449684435
3 1 0.1569 0.0021 0.1213 0.1607 102.3887 -22.7148 0.0616 0.0016 0.0440 0.0410 66.5268 -28.6232 133.0536920243
3 2 0.1634 0.0023 0.1286 0.1741 106.5573 -21.2896 0.0668 0.0018 0.0359 0.0321 48.0804 -46.1980 96.1608373855
4 1 0.1429 0.0019 0.1178 0.0848 59.3315 -17.5915 0.0511 0.0013 0.0224 0.0164 32.2380 -56.1312 64.4759759681
4 2 0.1604 0.0022 0.1308 0.0942 58.7358 -18.4542 0.0644 0.0017 0.0276 0.0202 31.4793 -57.1357 62.9585985726
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Table 7 Summary Table for tests of hypotheses
Collision Trial P Con- Hyp 3 Con- K Con- Hyp 1 Con- Hyp 2 Con-
No. served firmed served firmed firmed
Y/N Y/N Y/N Y/N Y/N
1 1 Y N Y N Y
1 2 Y N Y N Y
2 1 N Y N Y N
2 2 N Y N Y N
3 1 N Y N Y N
3 2 N Y N Y N
4 1 N Y N Y N
4 2 N Y N Y N

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