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A 1.95-kg falcon catches and holds onto a 0.64-kg dove from behind in midair. what is the final speed after impact if the falcons speed is initially 29 m/s second and doves is 7.5 m/s in the same direction?

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Conservation of momentum:

m1*v1+ m2*v2 = (m1+m2) v

mass 1 = m1= 1.95 kg

mass 2 = m2= 0.64 kg

initial velocity 1 = v1= 29 m/s

initial velocity 2 = v2= 7.5 m/s

v= final speed

Replacing:

(1.95*29)+(0.64*7.5) = (1.95+0.64)v

Solve for v

56.55+ 4.8 = 2.59 v

61.35=2.59v

61.35/2.59=v

v= 23.687 m/s

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