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value="1"/> </build> <build type="apple:wipe" duration="1" target-id="image-2"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="image-3"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="body-1"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="78 16" size="644 87" vertical-alignment="tracks-master"/> <image byte-size="221879" display-name="pasted.pdf" transformation="1 0 0 1 99.5 122" lock-aspect-ratio="true" image-data="pasted3.pdf" natural-size="204.355 175.363"/> <image byte-size="221850" display-name="pasted.pdf" transformation="1 0 0 1 449 119" lock-aspect-ratio="true" image-data="pasted4.pdf" natural-size="203.648 161.221"/> <image 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vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="2150" size="60 45" file="thumbs/st21.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Frictionless Puck</content> </bullet> </bullets> <events> <build type="apple:wipe" duration="1" target-id="image-4"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> <build type="apple:wipe" duration="1" target-id="textbox-1"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="20 6" size="718 93" vertical-alignment="tracks-master"/> <image byte-size="301756" display-name="pasted.pdf" transformation="1 0 0 1 83 122" lock-aspect-ratio="true" image-data="pasted6.pdf" natural-size="265.873 189.505"/> <image byte-size="301300" display-name="pasted.pdf" transformation="1 0 0 1 405 122" lock-aspect-ratio="true" image-data="pasted7.pdf" natural-size="265.873 189.505"/> <image byte-size="301299" display-name="pasted.pdf" id="image-5" transformation="1.48693 0 0 1.48693 46.5 378" lock-aspect-ratio="true" image-data="pasted8.pdf" natural-size="446.893 105.359"/> <textbox grow-horizontally="true" size="120 36" transformation="1 0 0 1 120 313"> <content paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="GillSans">no force</content> </textbox> <textbox grow-horizontally="true" size="77 36" transformation="1 0 0 1 491.5 313"> <content paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="GillSans">force</content> </textbox> <body visibility="hidden" location="78 540" size="644 57" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:fade" duration="1"/> <thumbnails> <thumbnail byte-size="2106" size="60 45" file="thumbs/st3.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Elastic loop shows force</content> </bullet> </bullets> <events> <build type="apple:wipe" duration="1" target-id="image-5"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title size="695 91" visibility="tracks-master" vertical-alignment="tracks-master" location="12 522" id="title-1"/> <image byte-size="171807" display-name="pasted.pdf" transformation="2.20654 0 0 2.20654 139 63" lock-aspect-ratio="true" image-data="pasted9.pdf" natural-size="217.082 119.501"/> <image byte-size="301299" display-name="pasted.pdf" transformation="1.48693 0 0 1.48693 46.5 378" lock-aspect-ratio="true" image-data="pasted8.pdf" natural-size="446.893 105.359"/> <body visibility="hidden" location="78 492" size="644 30" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="2228" size="60 45" file="thumbs/st4.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman"> <span font-name="LucidaGrande">Δ</span> <span font-name="Palatino-Italic">v</span> = (2.4cm/flash<span font-size="36" font-superscript="1">2</span>) <span font-name="LucidaGrande">Δ</span> <span font-name="Palatino-Italic">t</span> </content> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="title-1"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <image byte-size="171050" display-name="pasted.pdf" transformation="1 0 0 1 272 209" lock-aspect-ratio="true" image-data="pasted10.pdf" natural-size="255.973 181.727"/> <image byte-size="168456" display-name="pasted.pdf" id="image-6" transformation="1.57362 0 0 1.57362 35 421" lock-aspect-ratio="true" image-data="pasted11.pdf" natural-size="439.115 103.238"/> <body visibility="hidden" location="78 516" size="644 6" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="1354" size="60 45" file="thumbs/st5.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">More force</content> </bullet> </bullets> <events> <build type="apple:wipe" duration="1" target-id="image-6"> <property name="direction" value="15"/> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title size="710 76" visibility="tracks-master" vertical-alignment="tracks-master" location="-6 316" id="title-2"/> <image byte-size="168456" display-name="pasted.pdf" transformation="1.57362 0 0 1.57362 35 421" lock-aspect-ratio="true" image-data="pasted11.pdf" natural-size="439.115 103.238"/> <image byte-size="168457" display-name="pasted.pdf" transformation="2.1707 0 0 2.1707 138.5 64.5" lock-aspect-ratio="true" image-data="pasted12.pdf" natural-size="222.739 96.166"/> <body visibility="hidden" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="1950" size="60 45" file="thumbs/st6.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman"> <span font-name="LucidaGrande">Δ</span> <span font-name="Palatino-Italic">v</span> = (4.8cm/flash<span font-size="36" font-superscript="1">2</span>) <span font-name="LucidaGrande">Δ</span> <span font-name="Palatino-Italic">t</span> </content> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="title-2"> <property name="animationType" value="1"/> </build> </events> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="1484" size="60 45" file="thumbs/st7.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Conclusions</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">A single unbalanced force causes a constant acceleration</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">More force causes more acceleration</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">We can use the acceleration of a standard mass (kg) as measure of force</content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">a force that accelerates a 1 kilogram mass 1 m/s<span font-size="24" font-superscript="1">2</span> is called a newton (N)</content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" location="14 114" size="772 352" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="1288" size="60 45" file="thumbs/st8.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">For example</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">24 flashes in 10 s : 1 = <span font-superscript="1">24 flash</span>/<span font-superscript="-1">10 s</span> </content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">1 loop of force </content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman"> <span font-name="LucidaGrande">Δ</span> <span font-name="Palatino-Italic">v = </span> <span font-size="24" font-name="Palatino-Italic">(</span> <span font-size="24">2.4 cm/flash</span> <span font-size="24" font-superscript="1">2</span> <span font-size="24">)(24 flash/10 s)</span> <span font-size="24" font-superscript="1">2</span> <span font-size="24"> (0.01m/cm) = 0.14 m/s</span> <span font-size="24" font-superscript="1">2</span> </content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">If the puck is 1 kg, <span font-name="Palatino-Italic">F</span> = 0.14 N.</content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">2 loops gives 0.28 N : twice the force</content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-4"> <drawables> <image byte-size="1160640" display-name="pasted.tiff" transformation="0.685714 0 0 0.836508 91.4842 104" image-data="pasted1.tiff" opacity="1" natural-size="614 630"/> <textbox size="727 85" transformation="1 0 0 1 24 16"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Acceleration and force</content> </textbox> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:dissolve" duration="1"/> <thumbnails> <thumbnail byte-size="2226" size="60 45" file="thumbs/st9.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="GillSans"/> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="24 16" size="727 150" vertical-alignment="tracks-master"/> <image byte-size="1368918" display-name="pasted.tiff" transformation="0.601721 0 0 0.601721 141.371 185.5" lock-aspect-ratio="true" image-data="pasted2.tiff" natural-size="714 639"/> <body visibility="hidden" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:wipe" duration="1"> <property name="direction" value="20"/> </transition-style> <thumbnails> <thumbnail byte-size="1982" size="60 45" file="thumbs/st91.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Acceleration and stuff</content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="78 16" size="644 94" vertical-alignment="tracks-master"/> <body visibility="tracks-master" location="78 136" size="644 444" vertical-alignment="tracks-master"/> <image byte-size="28944" display-name="pasted.tiff" transformation="1 0 0 1 8 57" lock-aspect-ratio="true" image-data="pasted3.tiff" natural-size="94 102"/> </drawables> <transition-style type="apple:slide" duration="1"> <property name="direction" value="10"/> </transition-style> <thumbnails> <thumbnail byte-size="1892" size="60 45" file="thumbs/st12.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Newton’s 2nd law</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">If the same amount of force on another object gives 1/2 the acceleration</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">We say that object has 2x the mass </content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">for the same force : <span font-name="Palatino-Bold">acceleration </span> <span font-name="HiraKakuPro-W6">∝ </span> <span font-name="Palatino-Bold">1/m</span> </content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">for the same mass : <span font-name="Palatino-Bold">acceleration </span> <span font-name="HiraKakuPro-W6">∝</span> <span font-name="Palatino-Bold"> <![CDATA[ ]]> </span> <span font-name="Palatino-BoldItalic">F</span> </content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">Conclusion: <span font-size="48" font-name="Palatino-Italic">a</span> <span font-size="48"> = </span> <span font-size="48" font-name="Palatino-Italic">F/m </span> <span font-size="48"> <![CDATA[ ]]> </span> <span font-size="24">or</span> <span font-size="48"> <![CDATA[ ]]> </span> <span font-size="48" font-name="Palatino-Italic">F = ma</span> </content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Italic"> <span font-size="24" font-name="Palatino-Roman">Unit of force = kg</span> <span font-color="g0 0.54" font-size="24" font-name="Palatino-Roman">•</span> <span font-size="24" font-name="Palatino-Roman">m/s</span> <span font-size="24" font-name="Palatino-Roman" font-superscript="1">2</span> <![CDATA[ ]]> </content> </bullet> </bullets> </slide> <slide master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" vertical-alignment="tracks-master"/> <body visibility="tracks-master" vertical-alignment="tracks-master"/> </drawables> <transition-style type="apple:revolve" duration="1"> <property name="direction" value="10"/> </transition-style> <thumbnails> <thumbnail byte-size="1468" size="60 45" file="thumbs/st13.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Does it work in 3D?</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Italic">F = ma <span font-name="Palatino-Roman"> is a scalar equation derived from observations in 1 dimension.</span> </content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">Acceleration is a vector.</content> </bullet> <bullet level="1" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">is the vector equation <span font-name="Palatino-Bold">F = </span> <span font-name="Palatino-Italic">m</span> <span font-name="Palatino-Bold">a </span>also true? </content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">Is <span font-name="Palatino-Bold">F</span> always in same direction as <span font-name="Palatino-Bold">a</span>?</content> </bullet> <bullet level="2" marker-type="inherited"> <content paragraph-head-indent="5" paragraph-first-line-indent="5" tab-stops="L 45" font-size="32" font-name="Palatino-Roman">Do forces add like vectors?</content> </bullet> </bullets> </slide> <slide id="slide-1" master-slide-id="master-slide-2"> <drawables> <title visibility="tracks-master" location="78 -2" size="644 186" vertical-alignment="tracks-master"/> <image byte-size="305402" display-name="pasted.tiff" transformation="1.38889 0 0 1.38889 72.5 187" lock-aspect-ratio="true" image-data="pasted4.tiff" natural-size="471 162"/> <textbox grow-horizontally="true" size="44 36" transformation="1 0 0 1 488 302"> <content paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="GillSans">ok</content> </textbox> <g id="g-1" transformation="1 0 0 1 46 403"> <textbox grow-horizontally="true" size="38 32" transformation="1 0 0 1 115 403"> <content font-color="0.00322569 0.219114 0.923469" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="ZapfDingbatsITC">✔</content> </textbox> <image byte-size="171047" display-name="pasted.pdf" transformation="1 0 0 1 46 455" lock-aspect-ratio="true" image-data="pasted13.pdf" natural-size="175.363 159.807"/> </g> <g id="g-2" transformation="1 0 0 1 279.5 431"> <image byte-size="173146" display-name="pasted.pdf" transformation="1 0 0 1 279.5 475.5" lock-aspect-ratio="true" image-data="pasted14.pdf" natural-size="198.697 118.794"/> <textbox grow-horizontally="true" size="38 32" transformation="1 0 0 1 346 431"> <content font-color="0.00322569 0.219114 0.923469" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="ZapfDingbatsITC">✔</content> </textbox> </g> <g id="g-3" transformation="1 0 0 1 541.5 423"> <image byte-size="188619" display-name="pasted.pdf" transformation="1 0 0 1 541.5 475.5" lock-aspect-ratio="true" image-data="pasted15.pdf" natural-size="192.333 118.795"/> <textbox grow-horizontally="true" size="27 44" transformation="1 0 0 1 612.5 423"> <content font-color="0.00322569 0.219114 0.923469" paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="ComicSansMS">?</content> </textbox> </g> <textbox id="textbox-2" grow-horizontally="true" size="244 72" transformation="1 0 0 1 516 374"> <content paragraph-alignment="center" tab-stops="L 66" font-size="32" font-name="GillSans"> <![CDATA[See the web page “How forces add”]]> </content> </textbox> <body visibility="hidden" vertical-alignment="tracks-master"/> </drawables> <transition-style type="inherited"/> <thumbnails> <thumbnail byte-size="2294" size="60 45" file="thumbs/st14.tiff"/> </thumbnails> <bullets> <bullet level="0" marker-type="inherited"> <content paragraph-alignment="center" tab-stops="L 75" font-size="64" font-name="Palatino-Roman">Newton’s 2nd law is experimental</content> </bullet> </bullets> <events> <build type="apple:dissolve" duration="1" target-id="g-1"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-2"> <property name="animationType" value="1"/> </build> <build type="apple:dissolve" duration="1" target-id="g-3"> <property name="animationType" value="1"/> </build> 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