A particle of mass ‘m’ moving with a velocity $$3i$$∧$$+2j$$∧ $$m/s$$, collides with a stationary mass ‘M’ and finally m moves with velocity −$$2i$$∧$$+j$$∧$$m/s$$. If mM $$=$$ $$113$$, the velocity of the M after collision is,

Question

A particle of mass ‘m’ moving with a velocity $$3i$$∧$$+2j$$∧  $$m/s$$,  collides with a stationary mass ‘M’ and finally m moves with velocity −$$2i$$∧$$+j$$∧$$m/s$$.   If  mM $$=$$  $$113$$,  the velocity of the M after collision is,

Infinity Learn · Accepted Answer

Applying law of conservation of  linear momentum let final velocity of M be V $$m(3i$$∧$$+2j$$∧$$)+0$$  $$=$$  $$m($$−$$2i$$∧$$+j$$∧$$)+M$$⋅V  ⇒    $$m(3i$$∧$$+2j$$∧$$+2i$$∧−j∧$$)$$   $$=M$$⋅V;    V   $$=$$   mM (5i$$∧$$+j$$∧$$)     ∴      V   $$=$$   $$113$$ (5i$$∧$$+j$$∧$$)m/s$$ ⇒$$V=(5i$$∧$$13+j$$∧$$13)  $$ms-1=final$$ velocity of M

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A particle of mass ‘m’ moving with a velocity 3i∧+2j∧ m/s, collides with a stationary mass ‘M’ and finally m moves with velocity −2i∧+j∧m/s. If mM = 113, the velocity of the M after collision is,

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