A particle of mass m is projected with a speed u from the ground at angle θ$$=$$π$$3$$ 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

Question

A particle of mass m is projected with a speed u from the ground at angle θ$$=$$π$$3$$ 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

Infinity Learn · Accepted Answer

According to Conservation of Momentum,   $$mu2+mu=2mv1$$       ⇒$$v1=3u4Range$$ of combined mass        $$R1=v12Hg$$  $$=3u42$$.$$Hg=3u4.2$$.$$u2sin260g.2g=3u4.2$$.$$u2.34$$.$$g.2g$$   $$=$$ $$338u2g$$

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