How Does the Conservation of Energy Explain the Motion of Objects Over a Pulley?

[Leesh09]

Homework Statement

Two objects are connected by a light string passing over a light frictionless pulley as shown
in the figure. The object of mass 5.00-kg is released from rest. Using the principle of
conservation of energy, (a) determine the speed of the 3.00-kg object just as the 5.00-kg
object hits the ground. (b) Find the maximum height to which the 3.00-kg object rises.

Homework Equations

The Attempt at a Solution

I believe I am all set with part a. My question is on part B. Is it correct to say 1/2*m*v² = m*g*h and then use 9.8 as v also and solve for h?

 

[kuruman]

The statement of the problem is not very informative without a figure. Can you post one or at least describe what the figure shows?