A particle of mass m is projected with a speed u from the ground at angle θ=π3 w.r.t. horizontal ( x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity ui^ . The horizontal distance covered by the combined mass before reaching the ground is
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a
338u2g
b
58u2g
c
324u2g
d
22u2g
answer is A.
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Detailed Solution
According to Conservation of Momentum, mu2+mu=2mv1 ⇒v1=3u4Range of combined mass R1=v12Hg =3u42.Hg=3u4.2.u2sin260g.2g=3u4.2.u2.34.g.2g = 338u2g
A particle of mass m is projected with a speed u from the ground at angle θ=π3 w.r.t. horizontal ( x-axis). When it has reached its maximum height, it collides completely inelastically with another particle of the same mass and velocity ui^ . The horizontal distance covered by the combined mass before reaching the ground is