Two particles A and B, move with constant velocities →v1 and →v2. At the initial moment their position vectors are →r1 and →r2 respectively. the condition for particles A and B for their collision is :
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TWO PARTICLES 1 AND 2 MOVES WITH CONSTANT VELOCITIES v1 AND v2 .AT THE INITIAL MOMENT THEIR RADIUS VECTORS ARE EQUAL TO r1 AND r2.how must these four vectors be interrelated for the particles to collide
Asked by JAIBHARGAVA2001st November 2014, 2:58 PM
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V e l o c i t y space o f space B space w. r. t. space A : V with rightwards arrow on top subscript B minus A end subscript space equals space V with rightwards arrow on top subscript 2 space minus space V with rightwards arrow on top subscript 1 P o s i t i o n space o f space B space w. r. t. space A : r with rightwards arrow on top subscript B minus A end subscript space equals space r with rightwards arrow on top subscript B space minus space r with rightwards arrow on top subscript A
P a r t i c l e space B space w i l l space c o l l i d e space w i t h space p a r t i c l e space A comma space i f space t h e space v e l o c i t y space o f space B space w. r. t. space A space i s space d i r e c t e d space t o w a r d s space A. T h e n comma space fraction numerator V with rightwards arrow on top subscript 2 minus stack V subscript 1 with rightwards arrow on top over denominator open vertical bar V with rightwards arrow on top subscript 2 minus stack V subscript 1 with rightwards arrow on top close vertical bar end fraction equals space fraction numerator r with rightwards arrow on top subscript 2 minus stack r subscript 1 with rightwards arrow on top over denominator open vertical bar r with rightwards arrow on top subscript 2 minus stack r subscript 1 with rightwards arrow on top close vertical bar end fraction
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2nd November 2014,2:14 PM
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