A rocket is shot into the air as shown in the figure below. at the moment the ro

Question

A rocket is shot into the air as shown in the figure below. at the moment the rocket reaches its highest point, a horizontal distance d from its starling point, a prearranged explosion separates it Into two ports. Part 1 is stopped in midair by the explosion, and it falls vertically to Earth, Suppose that my = 3m_I. X_cm = 2d = m_1x_1+m_2x_2/m_1+m_2 = m_1d+m_2x/m_1 +m_2 Where then would m land? Express your answer in terms of d. ANSWER: Assume m_I = 3mII. Where then would m_II land? Express your answer in terms of d. ANSWER:

Explanation / Answer

1. X(c.o.m) = (m1x1+m2x2)/(m1+m2)
now X(c.o.m) = 2d
m2 = 3m1
x1 = d
so 2d*(m1+3m1) = m1d + 3m1*x2
=> 8d = d + 3x2
=> x2 = 7d/3

2. let m1 = 3m2
so 2d *4m2 = 3m2d + m2x2
8d = 3d + x2
x2 = 5d

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