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Grade: 11


A projectile is fired with velocity u at an angle @ with horizontal.At the highst point of its trajectory it splits up into 3 segments of masses m,m, and 2m.First part falls vertically downward with zero initial velocity and second part returns via same path to the point of projection.The velocity of third part of mass 2m just after explosion will be what???

3 years ago

Answers : (1)

mohammad husain
17 Points
the total mass of the particle = 4m
                        initial velocity= u
                        angle with horizontal=@
                       vertical component of velocity=usin(@)
                      horizontal component of velocity=ucos(@)
            let velocity at the highest point= v
                 and the velocity of fragment of mass 2m =w
                             at the highest point,there is no vertical velocity
                              i.e v= horizontal component of velocity=ucos(@)   (constant, as there is no external accelation in horizontal)
    at the highest poit of trajectory, net force in horizontal direction is zero
    hence momentum in horizontal direction is conserved
      i.e     P(just before explosion)=P(just after explosion)
            => 4m*ucos(@)=m*0+m*(-ucos(@))+2m*w
            => w=(5/2)ucos(@)       Ans.
3 years ago
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