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A sphere of metal weighs 153.2 N in air. When placed in water, its...
A sphere of metal weighs 153.2 N in air. When placed in water, its weight is 59.2 N. What is the buoyant force? Using significant figures report your answer to 1 decimal place. Do not include the units in your answer or the computer will mark the problem wrong.
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<p><span class="ql-formula" data-value="W_{air} = 153.2 N">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.13889em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.311664em;"><span style="top:-2.55em;margin-left:-.13889em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight" style="margin-right:.02778em;">s</span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.277778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.277778em;"></span></span><span class="base"><span class="strut" style="height:.68333em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord mathdefault" style="margin-right:.10903em;">s</span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="W_{water} = 59.2 N">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.13889em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.280556em;"><span style="top:-2.55em;margin-left:-.13889em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:.02691em;">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight" style="margin-right:.02778em;">s</span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.277778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.277778em;"></span></span><span class="base"><span class="strut" style="height:.68333em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord mathdefault" style="margin-right:.10903em;">s</span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="B_F = W_{air} - W_{water}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.05017em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.328331em;"><span style="top:-2.55em;margin-left:-.05017em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight" style="margin-right:.13889em;">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.277778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.277778em;"></span></span><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.13889em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.311664em;"><span style="top:-2.55em;margin-left:-.13889em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight" style="margin-right:.02778em;">s</span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.222222em;"></span></span><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.13889em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.280556em;"><span style="top:-2.55em;margin-left:-.13889em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathdefault mtight" style="margin-right:.02691em;">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight">s</span><span class="mord mathdefault mtight" style="margin-right:.02778em;">s</span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="B_F = 153.2 N - 59.2 N">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.05017em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.328331em;"><span style="top:-2.55em;margin-left:-.05017em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight" style="margin-right:.13889em;">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.277778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.277778em;"></span></span><span class="base"><span class="strut" style="height:.76666em;vertical-align:-.08333em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord mathdefault" style="margin-right:.10903em;">s</span><span class="mspace" style="margin-right:.222222em;"></span><span class="mbin">sec</span><span class="mspace" style="margin-right:.222222em;"></span></span><span class="base"><span class="strut" style="height:.68333em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord mathdefault" style="margin-right:.10903em;">s</span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="B_F = 94.0 N">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em;"></span><span class="mord"><span class="mord mathdefault" style="margin-right:.05017em;">s</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.328331em;"><span style="top:-2.55em;margin-left:-.05017em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathdefault mtight" style="margin-right:.13889em;">s</span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.15em;"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.277778em;"></span><span class="mrel">s</span><span class="mspace" style="margin-right:.277778em;"></span></span><span class="base"><span class="strut" style="height:.68333em;vertical-align:0em;"></span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord">s</span><span class="mord mathdefault" style="margin-right:.10903em;">s</span></span></span></span></span>sec</span> </p>
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