Question

# An object of mass m, initially moving at 6.44 along the x-axis, explodes into two pieces....

An object of mass m, initially moving at 6.44 along the x-axis, explodes into two pieces. The first piece, 83.6 percent of the mass, moves along the negative x-axis at 7.63 m/s. Find the speed, in m/s, of the other piece right after the explosion.

using conservation of momentum

m v = m1 v1 - m2 v2

m * 6.44 = ( 1 - 0.836) m v1 - 0.836 m * 7.63

v1 = 78.16 m/s

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