A projectile is fired with the velocity v 0 = 2 m s - 1 at an angle 60 o with horizontal. At top of its trajectory, it explodes into three fragments of equal mass. The first fragment retraces the path, second moves vertically upward with speed 3 v 0 2 . The speed of the third fragment (in m s - 1 ) is

Question

A projectile is fired with the velocity v 0 = 2 m s - 1 at an angle 60 o with horizontal. At top of its trajectory, it explodes into three fragments of equal mass. The first fragment retraces the path, second moves vertically upward with speed 3 v 0 2 . The speed of the third fragment (in m s - 1 ) is,

MARKS App · Accepted Answer

Let velocity of third fragment be → V P i → = P f → ⇒ 3 m v 0 2 i ^ = − m v 0 2 i ^ + m 3 v 0 2 j ^ + m v → v → = 4 v 0 2 i ^ − 3 v 0 2 j ^ ⇒ v = 5 v 0 2

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