PLEASE ANSWER COMPLETELY A projectile of mass m launched vertically upward from

Question

PLEASE ANSWER COMPLETELY

A projectile of mass m launched vertically upward from the origin (0,0) with an initial velocity of vo explodes into three pieces when it reaches its maximum height of 490.0 m. Immediately after the explosion, one piece with mass m/4 is observed to have velocity v 3vot vo/2 y, and a second piece also of mass m/4 is observed to have velocity v Vox (a) What is the velocity v of the third piece immediately after the explosion? (b) Which piece hits the ground first? You don't need to do any calculation here as long as you can provide a logical and, of course, correct) argument supporting your answer (c) What is the position of the center of mass ofthe system when the first piece to hit the ground does so? (Assume that the only force on the projectile is the earth's gravity

Explanation / Answer

a) conserving momentum

0 = 0.25m( 3vi +0.5vj) -0.25m(v) i +(0.5m)V3

V3 = -vi -vj

b)

third piece reaches ground first as its initial velocity is in downward direction

c)

center of mass always remains in tha same position

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