Laboratory experiments are performed examining the enhanced damping of surface waves by floating spherical particles. Without particles, wave amplitudes decay exponentially in time; with the particles, the dissipation is enhanced such that waves are arrested in finite time. Initially the decay is exponential with an e-folding time that is inversely proportional to the depth of the particle layer, but independent of particle size. At later times and lower amplitudes, the decay turns into a power law (t_s-t)^q, with exponent lying between q~= 2 and 3. The stopping time, t_s, also decreases with increasing particle layer depth.