A Glider A of mass \"m\" is moving to the right on a frictionless horizontal air

Question

A Glider A of mass "m" is moving to the right on a frictionless horizontal air track with a speed "v1". it has a head on collision with another glider of mass "2m" that is moving to the left at "V2". The collision is perfectly elastic. Given [m, v1, v2] Determine the speed and direction of each glider after the collision. A rifle bullet of mass "m" strikes and embeds itself in a block of "100m", that rests on a friction less horizontal surface. The impact compresses the spring a distance "d". The spring constant is "k". Given [m, k, d] determine: The blocks velocity just after the collision. The initial speed of the bullet. A 3 kg mass with an initial velocity 5 i^m/s collides to and sticks to a 2 kg mass with and initial velocity of -3j^ m/s. Find the final velocity of the composite mass. A bomb of mass "m" at rest explodes. Half of the mass is thrown off in the +x-direction a speed "v". A quarter of the mass is thrown off in the +y- direction at a speed "3v". Given [m, v] Determine (a) the magnitude and direction of the remaining piece and (b) the energy of the explosion.

Explanation / Answer

            This is inelasitic   collision                    According to law   of consevation   of momentum          m1 v1  + m2v2      =   ( m1+ m2 ) V     .............(1)           Given   m1   = 3 kg , m2   =   2 kg           v1     = 5 j   m/s     and   v2    = - 3j   m/s              plug all values in (1) we get               common velocity    V   =   1.8 j    m/s

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