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A 27-g rifle bullet traveling 200 m/s embeds itself in a 3.9-kg pendulum hanging on a...

A 27-g rifle bullet traveling 200 m/s embeds itself in a 3.9-kg pendulum hanging on a 2.6-m-long string, which makes the pendulum swing upward in an arc.

Determine the vertical component of the pendulum's maximum displacement.

Determine the horizontal component of the pendulum's maximum displacement.

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Answer #1

a)

Using conservation of momentum we can find the velocity of the pendulum after bullet hits the pendulum,

Using conservation of energy we can find the vertical component of maximum displacement,

b)

Horizontal component of maximum displacement =

where is the angle the pendulum string makes with the vertical when the vertical component of displacement is maximum.

Therefore,

Horizontal component of maximum displacement =

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