Physics - NLM Question with Solution | TestHub

Given, $\mathrm{m}=0.5\mathrm{kg},\mathrm{v}=12\mathrm{m}/\mathrm{s},\Delta \mathrm{t}=1\mathrm{s},\theta =30^{\circ }$Force applied by wall on ball, $\mathrm{F}=\frac{\Delta \mathrm{p}}{\Delta \mathrm{t}}$ or $\mathrm{F}=\frac{{\left({\mathrm{p}}_{\mathrm{f}}\right)}_{\mathrm{H}}-{\left({\mathrm{p}}_{\mathrm{i}}\right)}_{\mathrm{H}}}{\Delta \mathrm{t}}$ In this elastic collision, final and initial velocity will be same but direction will changed. $\therefore$ Horizontal component, ${\left({\mathrm{p}}_{\mathrm{f}}\right)}_{\mathrm{H}}=\mathrm{mv}\cos \theta$ and ${\left({\mathrm{p}}_{\mathrm{i}}\right)}_{\mathrm{H}}=-\mathrm{mv}\cos \theta$ $\begin{array}{rl}& \therefore \mathrm{F}=\frac{\mathrm{mv}\cos \theta -(-\mathrm{mV}\cos \theta )}{\Delta \mathrm{t}}=\frac{2\mathrm{mV}\cos \theta }{\Delta \mathrm{t}}\\ & =\frac{2\times 0.5\times 12\times \cos 30^{\circ }}{1}=6\sqrt{3}\mathrm{N}\\ & \end{array}$