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Vector CalculusQuestion and Answers: Page 5

Question Number 59459 Answers: 0 Comments: 1

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Would anyone like to do a whatsapp group of differential calculus, integral, vector, geometry vector and analytics?

$Would anyone like to do a whatsapp$ $group of differential calculus,$ $integral, vector, geometry vector$ $and analytics ?$

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▽^→ ∙((e^(br) /r^2 ) e_r ^∧ )=? b is a constant.

$\vec{▽} \cdot (\frac{e^{b r}}{r^{2}} {\overset{\land}{e}}_{r}) = ? b i s a c o n s t a n t .$

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A particle A at rest with position vector 2i−j with mass 500kg is hit by another particle B moving at a velocity of (5i−4j)ms^(−1) with mass 300kg. and they all move in the direction of B. a) What is the momentum after impact? b) Calculate the impulse generated,hence or otherwise, Calculate the distance A and B cover after impact at a time of 1minute.

$A p a r t i c l e A a t r e s t w i t h p o s i t i o n v e c t o r 2 i - j w i t h m a s s 500 k g i s h i t b y$ $a n o t h e r p a r t i c l e B m o v i n g a t a v e l o c i t y o f (5 i - 4 j) {m s}^{- 1} w i t h m a s s 300 k g .$ $a n d t h e y a l l m o v e i n t h e d i r e c t i o n o f B .$ $a) W h a t i s t h e m o m e n t u m a f t e r i m p a c t ?$ $b) C a l c u l a t e t h e i m p u l s e g e n e r a t e d, h e n c e o r o t h e r w i s e,$ $C a l c u l a t e t h e d i s t a n c e A a n d B c o v e r a f t e r i m p a c t a t$ $a t i m e o f 1 m i n u t e .$