Molecular dynamics simulation of the ordering polymer grafted nanoparticles is problematic because of the long time and length scales required, even when using coarse-graining techniques. In order to better sample over the large energy barriers present in these systems, protracted colored noise dynamics (PCND) was implemented for a model block copolymer grafted nanoparticle in two ways: i) a whole body force, which applies the same force to every particle on a polymer grafted nanoparticle, and ii) a polymer arm force, which applies a different force to each polymer graft. The effectiveness of each implementation was tested as a function of the magnitude of the force ( ξ ) and the correlation time of the force ( τ ). It is found that the whole body force was very effective in reaching the equilibrium lamellae state, and showed the same functional dependence on ξ and τ as found previously for a backbone correlated force for linear diblock copolymers, while the polymer arm force was less effective, requiring larger ξ and τ values, and longer simulation times, to equilibrate.