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Vector CalculusQuestion and Answers: Page 5

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

$$\mathrm{Would}\:\mathrm{anyone}\:\mathrm{like}\:\mathrm{to}\:\mathrm{do}\:\mathrm{a}\:\mathrm{whatsapp} \\ $$$$\mathrm{group}\:\mathrm{of}\:\mathrm{differential}\:\mathrm{calculus}, \\ $$$$\mathrm{integral},\:\mathrm{vector},\:\mathrm{geometry}\:\mathrm{vector} \\ $$$$\mathrm{and}\:\mathrm{analytics}? \\ $$

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

$$\overset{\rightarrow} {\bigtriangledown}\centerdot\left(\frac{{e}^{{br}} }{{r}^{\mathrm{2}} }\:\overset{\wedge} {{e}}_{{r}} \right)=?\:\:\:\:{b}\:{is}\:{a}\:{constant}. \\ $$

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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.

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

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