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(Solved): Please use Matlab When you solve this problem  \#4 A shell moving with a velocity of known com ...



Please use Matlab When you solve this problem \#4 A shell moving with a velocity of known components \( \mathrm{v}_{\mathrm{x}}, \mathrm{v}_{\mathrm{y}} \), and \( \mathrm

\#4 A shell moving with a velocity of known components \( \mathrm{v}_{\mathrm{x}}, \mathrm{v}_{\mathrm{y}} \), and \( \mathrm{v}_{\mathrm{z}} \) explodes into three fragments of masses \( \mathrm{m}_{1}, \mathrm{~m}_{2} \), and \( \mathrm{m}_{3} \) at point \( \mathrm{A}_{0} \) at a distance \( \mathrm{d} \) from a vertical wall. Derive expressions for the speeds of the three fragment immediately after the explosion, knowing the coordinates \( \mathrm{x}_{\mathrm{i}} \), and \( \mathrm{y}_{\mathrm{i}} \) of the points \( \mathrm{A}_{\mathrm{i}}(\mathrm{i}=1,2,3) \) where the fragments hit the wall. With the following numerical values compute the 3 velocities: A1 \( (-5 \mathrm{~m}, 0) ; \mathrm{A} 2(12 \mathrm{~m} ; 6 \mathrm{~m}) ; \mathrm{A} 3(0 \) \( \mathrm{m} ;-9 \mathrm{~m}) ; \mathrm{d}=12 \mathrm{~m} ; \mathrm{m}_{1}=5 \mathrm{~kg} ; \mathrm{m}_{2}=4 \mathrm{~kg} ; \mathrm{m}_{3}=3 \mathrm{~kg} ; \mathrm{v}_{\mathrm{x}}=40 \mathrm{~m} / \mathrm{s} ; \mathrm{v}_{\mathrm{y}}=-30 \mathrm{~m} / \mathrm{s} ; \mathrm{v}_{\mathrm{z}}=-1200 \)


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The velocities of the three fragments immediately after the explosion can be calculated using the principle of conservation of momentum. According to
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