# Problem: A gun fires a bullet vertically upwards into a 1.40-kg block of wood at rest on a thin horizontal sheet.If the bullet has a mass of 26.8g and a speed of 230m/s , how high will the block rise into the air after the bullet becomes embedded in it?Express your answer to three significant figures and include the appropriate units.

###### FREE Expert Solution

Let the velocity of the block-and-bullet system be v after the bullet is embedded in the block.

The height by which the block rises is expressed as:

$\overline{){\mathbf{H}}{\mathbf{=}}\frac{{\mathbf{v}}^{\mathbf{2}}}{\mathbf{2}\mathbf{g}}}$

###### Problem Details

A gun fires a bullet vertically upwards into a 1.40-kg block of wood at rest on a thin horizontal sheet.

If the bullet has a mass of 26.8g and a speed of 230m/s , how high will the block rise into the air after the bullet becomes embedded in it?

Express your answer to three significant figures and include the appropriate units.