A ballistic pendulum is a simple, but practical, device that can be used to measure the speed of a bullet. The pendulum consists of a block of wood with mass 4.30 kg, at the end of a thin wire so that the center of the block is 85.6 cm below the top of the wire. With the block at rest and the wire vertical, a bullet of mass 29.0 grams is fired at the block. It embeds in the block and causes the block to swing so that it momentarily comes to rest when the wire makes an angle of 35.80 with the vertical. Find the initial speed, in m/s, of the bullet.

A ballistic pendulum is a simple, but practical, device that can be used to measure the speed of a bullet. The pendulum consists of a block of wood with mass 4.30 kg, at the end of a thin wire so that the center of the block is 85.6 cm below the top of the wire. With the block at rest and the wire vertical, a bullet of mass 29.0 grams is fired at the block. It embeds in the block and causes the block to swing so that it momentarily comes to rest when the wire makes an angle of 35.80 with the vertical. Find the initial speed, in m/s, of the bullet.