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JEE Main 202126 AugustMorning Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Morning Shift
Subject
Physics
Chapter
Motion in One Dimension

JEE Main 2021 · 26 August · Morning Shift · Physics · Motion in One Dimension

Two spherical balls having equal masses with radius of 5cm each are...

Two spherical balls having equal masses with radius of 5cm5cm each are thrown upwards along the same vertical direction at an interval of 3s3s with the same initial velocity of 35ms−135m{s}^{- 1}, then these balls collide at a height of _____mm,

(take g=10ms−2g = 10m{s}^{- 2})

Correct answer

0

Step-by-step solution

S1=S2{S}_{1} = {S}_{2}

35t+12(−g)t2=35(t−3)+12(−g)(t−3)235t + \dfrac{1}{2} ( - g ) {t}^{2} = 35 ( t - 3 ) + \dfrac{1}{2} ( - g ) ( t - 3{)}^{2}

35t−12gt2=35t−35×3−12g(t2−6t+9)</p><p>(35×3)+45=30t35t - \dfrac{1}{2}g{t}^{2} = 35t - 35 \times 3 - \dfrac{1}{2}g \left({t}^{2} - 6t + 9\right)</p><p>\left(35 \times 3\right) + 45 = 30t

t=15030=t = \dfrac{150}{30} =5</p><p></p><p>heighth = 35 \times 5 - 12×10×52\dfrac{1}{2} \times 10 \times {5}^{2}

h=175−125=50mh = 175 - 125 = 50m

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