A 5 kg projectile travels with a horizontal velocity of before it explodes and b

Question

A 5 kg projectile travels with a horizontal velocity of

before it explodes and breaks into two fragments A and

B of mass 2 kg and 3 kg, respectively. If the fragments

travel along the parabolic trajectories shown, determine

the magnitude of velocity of each fragment just after the

explosion

A 5 kg projectile travels with a horizontal velocity of before it explodes and breaks into two fragments A and B of mass 2 kg and 3 kg, respectively. If the fragments travel along the parabolic trajectories shown, determine the magnitude of velocity of each fragment just after the explosion

Explanation / Answer

ma*Va sin30 = mb*Vb sin45

so Va/Vb = 2.12

5*600 = va*cos30*2 - vb*cos45*3

so 3000 = 2.12*vb*2*cos30 - 2.12vb

so vb = 1933 m/s

va = 4098 m/s

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