A 1.65-kg falcon catches a 0.215-kg dove from behind in midair. What is their ve

Question

A 1.65-kg falcon catches a 0.215-kg dove from behind in midair. What is their velocity after impact if the falcon's velocity is initially 27.5 m/s and the dove's velocity is 5.95 m/s in the same direction?

In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0285 kg and the mass of the pendulum is 0.250 kg, how high will the pendulum swing if the marble has an initial speed of 5.75 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.

Explanation / Answer

1) conservation of momentum

m1u1+m2u2=(m1+m2)v

v = 1.65*27.5+0.215*5.95/1.865

v = 25.02 m/s

2) v = m1u1/(m1+m2)

v = 0.0285*5.75/0.2785

v = 0.588 m/sec

conservation of energy

1/2(m1+m2)v^2=(m1+m2)gh

h=v^2/2g

h = 0.01764 m

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