An object with mass 3 kg moving with an initial velocity of 500i m/s collided with and sticks to an object of mass 2 kg with an initial mass of -3j m/s. Find the final velocity of the composite object
Explanations & Calculations
"\\qquad\\qquad\n\\begin{aligned}\n\\small P_{1x}&=\\small 3kg\\times 500\\it{i}\\,ms^{-1}\\\\\n&=\\small 1500\\it{i}\\,\\,kgms^{-1}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small P_{1y}&=\\small 2\\,kg\\times (-3\\it{j})ms^{-1}\\\\\n&=\\small -6\\it{j}\\,kgms^{-1}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small P_{2x}&=\\small P_{1x}\\\\\n\\small 5kg\\times \\vec{V_x}&=\\small 1500\\it{i}\\\\\n\\small \\vec{V_x}&=\\small 300\\it{i}\\,ms^{-1}\\\\\\\\\n\n\\small P_{2y}&=\\small P_{1y}\\\\\n\\small 5kg\\times \\vec{V_y}&=\\small -6\\it{j}\\\\\n\\small \\vec{V_y} &=\\small -1.2\\it{j}\\,ms^{-1}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small \\vec{V}&=\\small 300\\it{i}-1.2\\it{j}\n\\end{aligned}"
"\\qquad\\qquad\n\\begin{aligned}\n\\small |\\vec{V}|&=\\small \\sqrt{300^2+1.2^2}=\\bold{300.0024\\,ms^{-1}}\\\\\\\\\n\n\\small \\theta&=\\small \\tan^{-1}\\bigg[\\frac{-1.2}{300}\\bigg]=\\bold{-0.229^0}\n\\end{aligned}"
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