# Investigation: Density of Play-Doh

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Physics IA

Jessica Ji

 Investigation: Density of Play-doh Jessica Ji AimTo investigate the density of play-doh by measuring mass and volume of play-doh then dividing the mass by the volume. Chemical and equipment list Play-doh Vernier caliper Lid of the play-doh box Electrical balance Ruler Method 1. Take out the play-doh from the box. 2.  Use hand or/and ruler or/and the lid to make the play-doh into wanted shapes: ball, cuboid, cylinder, and the shape of lid. 3.  Measure the lengths of the sides/perimeters/depths of the play-doh. 4. Use electrical balance to measure the mass of the play-doh in different shapes. 5.  Record the data acquired above. 6.  Calculate the volume of the play-doh and the density of play-doh. 7. Repeat step 1-6 by making different shapes with different masses of play-doh.

Results and discussion

Quantitative Data

 Equipment Uncertainty electrical balance ±0.001g vernier caliper ±0.002cm

Raw data table:

 Mass(g±0.001g) of play-doh vs. Lengths/Perimeters(cm±0.002cm) of the shape of play-doh Shape of Play-doh Mass(g±0.001g) Length(cm±0.002cm) Perimeter(cm±0.002cm) Ball 7.751 / 2.170 18.721 / 3.060 26.936 / 3.350 17.755 / 2.810 Cuboid 0.333 0.650 0.700 0.650 / Cylinder 6.830 6.11 1.555 Lid 27.451 0.700 5.900 26.900 0.700 5.900 27.063 0.700 5.900 26.418 0.700 5.900

 Calculation(Volume of Ball): Data processing Error Propagation Formula:[pic 1] V₁= 4×π×(3.350cm÷2)³÷3V₁=19.90cm³V₂= 4×π×(2.170cm÷2)³÷3V₂=5.350cm³V₃= 4×π×(3.060cm÷2)³÷3V₃=15.00cm³V₄= 4×π×(2.810cm÷2)³÷3V₄=11.612cm³ 0.002cm÷3.350cm×100%×19.90cm³=0.01cm³  0.002cm÷2.170cm×100%×5.35cm³=0.005cm³  0.002cm÷3.060cm×100%×15.00cm³=0.01cm³  0.002cm÷2.810cm×100%×11.62cm³=0.008cm³ Calculation(cube&cuboid): Data processing Error Propagation Formula:V=l1×l2×l3 V=0.650cm×0.700cm×0.650cmV=0.306cm³ (0.002cm³÷0.650cm³+0.002cm³÷0.650cm³+0.002cm³÷0.700cm³)×100%×0.306cm³=0.003cm³

 Calculation(Cylinder&Lid): Data processing Error Propagation Formula:[pic 2] V₁=π×(1.555cm÷2)²×6.110cmV₁=6.13cm³V₂=π×(5.900cm÷2)²×0.700cmV₂=19.14cm³ (0.002cm÷1.555cm×2+0.002cm÷6.110cm)×100%×6.13cm³=0.02cm³(0.002cm÷5.900cm×2+0.002cm÷0.700cm)×100%×19.14cm³=0.07cm³

 Mass of Play-doh vs. Volume of Playdoh Shape of Play-doh Mass(g±0.001g) Volume(cm³) Ball 26.936 19.90 7.751 5.350 18.721 15.00 17.755 11.612 Cuboid 0.333 0.306 Cylinder 6.830 6.13 Lid 27.451 19.1        4 26.900 19.1        4 27.063 19.1        4 26.418 18.49

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