In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. The mass of the marble is $0\mathrm{.}0305$ kg and the mass of the pendulum is $0\mathrm{.}250$ kg $.$

Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision.

How high $h$ will the pendulum swing if the marble has an initial speed of $5\mathrm{.}25\frac{m}{s}?$

$h=$

m

TOOLS

${10}^y$