M2 logsheet - Lab log sheet to check your calculations PDF

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Lab log sheet to check your calculations...

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Nanyang Technological University School of Mechanical and Aerospace Engineering

FE1073: Introduction to Engineering & Practices

M2: CONSERVATION OF MOMENTUM

Formal report for Experiment M2

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Contents 1 Introduction.............................................................................................................................................. 3 2 Objective.................................................................................................................................................. 4 3 Outline of Experiment.............................................................................................................................. 4 4 Apparatus and Set-up...............................................................................................................................4 5 Experiment Procedure..............................................................................................................................5 6 Log Sheet..................................................................................................................................................6 7 Discussion.................................................................................................................................................8 Answers of exercise 1-5.............................................................................................................................11 8

Conclusion......................................................................................................................................... 16

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6 Log Sheet (a)Elastic collisions of sliders having the same mass 

Mass of slider 1 = 0.300 kg



Length of slider 1 = 0.180 m



Mass of slider 2 = 0.300 kg



Length of slider 2 = 0.180 m

Ta (s) 0.2895 0.2313 0.1846

Tb (s) U1 (m/s) V2 (m/s) 0.2955 0.6218 0.6091 0.2430 0.7782 0.7407 0.1912 0.9751 0.9414 Table 2.1 Results for elastic collisions of sliders having the same mass.

By observing the experiment, we can tell that after collisions, the slider 1 stops suddenly and afterward nearly motionless

Note. The data and results for a particular collision are to be entered into a specific row of the table, e.g. first row for the first collision.

(b) Elastic collisions of sliders having different masses.     TA (s) 0.2108 0.2076 0.1833

P (Ns)

Mass of slider 1 Mass of slider 2 Length of slider 1 Length of slider 2

= 0.300 kg = 0.450 kg = 0.180 m = 0.288 m

TA (s) (after) TB (s) U1 (m/s) V1 (m/s) V2 (m/s) 2.2445 0.4295 0.8539 -0.0802 0.6705 1.4663 0.4313 0.8671 -0.1228 0.6677 1.1966 0.3773 0.9820 -0.1504 0.7633 Table 2. Results for elastic collisions of sliders having different masses.

P’ (Ns)

p− p' p

×100%

E (Ns)

E’ (Ns)

E−E ' E

×

100% Page | 3

0.256 0.260 0.295

0.278 -8.59% 0.1094 0.1021 6.67% 0.264 -1.54% 0.1128 0.1026 9.04% 0.298 -1.02% 0.1446 0.1345 6.99% Table 3. Total momentum and kinetic energy before and after collision.

Notes: (1) The data and results for a particular collision are to be entered into a specific row of the tables above, e.g. first row for the first collision. (2) In calculating the velocities in Table 2.2, remember to take into consideration the directions of the sliders before and after the collisions. Velocities in opposite directions should have opposite signs. (3) In Table 2.3, p and ^p denote respectively the total momentum before and after collision, while E and ^ E respectively the total kinetic energy before and after the collision.

(c) Inelastic collisions of sliders having different masses     TA (s) 0.7904 0.6720 0.7032

P (Ns)

0.068 0.080 0.078

Mass of slider 1 = Mass of slider 2 = Length of slider 1 = Length of slider 2 =

0.300 kg 0.450 kg 0.180 m 0.288m

TB (s) U1 (m/s) V1 = v2 (m/s) 2.8306 0.228 0.102 2.3765 0.268 0.121 2.4832 0.256 0.116 Table 4. Inelastic collisions of sliders having different mass.

P’ (Ns)

p− p' p

×

E (Ns)

E’ (Ns)

E−E ' E

×

100% 100% 0.0765 -12.50% 0.0078 0.0039 50.0% 0.0908 -13.50% 0.0108 0.0055 49.07% 0.0870 -11.54% 0.0098 0.0050 48.98% Table 5. Total momentum and kinetic energy before and after collision

Notes. (1) The data and results for a particular collision are to be entered into a specific row of the tables above, e.g. first row for the first collision. (2) In this experiment, sliders 1 and 2 have the same velocity after the collision. Page | 4

(3) In Table 2.5, p and ^p denote respectively the total momentum before and after collision, while E and ^ E respectively the total kinetic energy before and after the collision.

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