A child pulls a 12.6 kg wagon across a level floor, causing it to...

<p><span class="ql-formula" data-value="\text{Given Data:}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.68333em;vertical-align:0em;"></span><span class="mord text"><span class="mord">sectetur adi</span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{Mass of the wagon , }m \text{ = 12.6 kg}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit.</span></span><span class="mord mathdefault">s</span><span class="mord text"><span class="mord">sectetur adip</span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{Acceleration , a = 7.5 m/s}^2">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1.20401em;vertical-align:-.25em;"></span><span class="mord"><span class="mord text"><span class="mord">sectetur adipiscing elit. Nam l</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.954008em;"><span style="top:-3.2029em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{Frictional force = 6.7 N}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.69444em;vertical-align:0em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit. Na</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{From Newtons second law of motion:}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.69444em;vertical-align:0em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit. Nam lacinia p</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{F}_{\text{net}} \text{ = }ma">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">sec</span><span class="mord"><span class="mord text"><span class="mord">s</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord text"><span class="mord">secte</span></span><span class="mord mathdefault">s</span><span class="mord mathdefault">s</span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{Where:}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.69444em;vertical-align:0em;"></span><span class="mord text"><span class="mord">sectet</span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{F}_{\text{net}} \text{ = Net force}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.84444em;vertical-align:-.15em;"></span><span class="mord"><span class="mord text"><span class="mord">s</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord text"><span class="mord">sectetur adipis</span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{m = mass of the wagon }">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit. Na</span></span></span></span></span></span>sec</span> <span class="ql-formula" data-value="\text{ = 12.6 kg}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adip</span></span></span></span></span></span>sec</span> </p><p><span class="ql-formula" data-value="\text{a = acceleration = 7.5 m/s}^2">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:1.20401em;vertical-align:-.25em;"></span><span class="mord"><span class="mord text"><span class="mord">sectetur adipiscing elit. Nam l</span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.954008em;"><span style="top:-3.2029em;margin-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">s</span></span></span></span></span></span></span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{Substituting the values:}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit.</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{F}_{\text{net}} \text{ = ma = 12.6 x 7.5 = 94.5 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">sec</span><span class="mord"><span class="mord text"><span class="mord">s</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord text"><span class="mord">sectetur adipiscing elit. Nam lacinia</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{F}_{\text{net}} \text{ = F}_{\text{applied}} \text{ - Frictional force}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.980548em;vertical-align:-.286108em;"></span><span class="mord">sec</span><span class="mord"><span class="mord text"><span class="mord">s</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord"><span class="mord text"><span class="mord">sectet</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.336108em;"><span style="top:-2.55em;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 text mtight"><span class="mord mtight">sectetu</span></span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.286108em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">sectetur adipiscing el</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{Rearranging }">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.87777em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adip</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{F}_{\text{applied}} \text{ = F}_{\text{net}} \text{ + Frictional force}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.980548em;vertical-align:-.286108em;"></span><span class="mord">sec</span><span class="mord">sec</span><span class="mord"><span class="mord text"><span class="mord">s</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.336108em;"><span style="top:-2.55em;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 text mtight"><span class="mord mtight">sectetu</span></span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.286108em;"><span></span></span></span></span></span></span><span class="mord">sec</span><span class="mord"><span class="mord text"><span class="mord">sectet</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord text"><span class="mord">sectetur adipiscing el</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{Subsitute the values: F}_{\text{net}} \text{ = 94.5 N and Frictional Force = 6.7 N}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.84444em;vertical-align:-.15em;"></span><span class="mord"><span class="mord text"><span class="mord">sectetur adipiscing elit.</span></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-right:.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord text mtight"><span class="mord mtight">sec</span></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="mord text"><span class="mord">sectetur adipiscing elit. Nam lacinia pulvinar</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{F}_{\text{applied}} \text{ = 94.5 + 6.7 = 101.2 N}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.969438em;vertical-align:-.286108em;"></span><span class="mord"><span class="mord text"><span class="mord">s</span></span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.336108em;"><span style="top:-2.55em;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 text mtight"><span class="mord mtight">sectetu</span></span></span></span></span></span><span class="vlist-s">sec</span></span><span class="vlist-r"><span class="vlist" style="height:.286108em;"><span></span></span></span></span></span></span><span class="mord text"><span class="mord">sectetur adipiscing elit. Nam</span></span></span></span></span></span>sec</span> </p><p><br/></p><p><span class="ql-formula" data-value="\text{Therefore,}">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur a</span></span></span></span></span></span>sec</span> <span class="ql-formula" data-value="\text{The force applied by the child is = 101.2 }">sec<span><span class="katex"><span class="katex-mathml"></span><span class="katex-html"><span class="base"><span class="strut" style="height:.88888em;vertical-align:-.19444em;"></span><span class="mord text"><span class="mord">sectetur adipiscing elit. Nam lacinia pulvinar tort</span></span></span></span></span></span>sec</span> </p>