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.