A-force-F-2t-i-5j-acts-on-a-particle-of-mass-2kg-find-the-velocity-and-the-magnitude-of-the-impulse-that-acts-on-the-particle-within-the-time-range-1s-t-3s-

Question Number 39756 by Rio Mike last updated on 10/Jul/18

A f o r c e F = 2 t i + 5 j a c t s o n

a p a r t i c l e o f m a s s 2 k g . f i n d

t h e v e l o c i t y a n d t h e m a g n i t u d e

o f t h e i m p u l s e t h a t a c t s o n

t h e p a r t i c l e w i t h i n t h e t i m e

r a n g e 1 s ⩽ t ⩽ 3 s

Commented by tanmay.chaudhury50@gmail.com last updated on 10/Jul/18

Answered by ajfour last updated on 10/Jul/18

m \bar{v} = \bar{J} = \int_{0}^{t} \bar{F d t}

2 \bar{v} = t^{2} \hat{i} + 5 t \hat{j} = \bar{J}

J = t \sqrt{t^{2} + 25} .

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