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------------------------------------------------ A 46 g bullet traveling at 186 m/s buries itself in a 5.18 kg pendulum hanging on a 2.1 m length of string, which makes the pendulum swing upward in an arc. Determine the horizontal component (in meters) of the displacement of the pendulum.

The horizontal component of the displacement of the pendulum can be determined by using the concept of conservation of momentum. Since the bullet buries itself in the pendulum, the total momentum before and after the collision should be the same. The initial momentum of the bullet can be calculated using the formula:

P_initial = mass_bullet * velocity_bullet

where mass_bullet is the mass of the bullet and velocity_bullet is its velocity. After the collision, the pendulum and the bullet move together as a system. The final momentum of the system can be calculated using the formula:

P_final = mass_system * velocity_system

The horizontal component of the displacement can then be calculated using the formula:

displacement = (P_final - P_initial) / mass_pendulum

where mass_pendulum is the mass of the pendulum.