A small block of wood of inertia \(m_{\text {block }}\) is released from rest a distance \(b\) above the ground, directly above your head. You decide to shoot it with your pellet gun, which fires a pellet of inertia \(m_{\text {pellet }}\). After the block has fallen a distance \(d\), the pellet hits it and becomes embedded in it, kicking it upward. At the instant of impact, the pellet is moving at speed \(v_{\text {pellet }}(a)\) To what maximum height \(h_{\max }\) does the pellet-block system rise above the ground? Express your answer in terms of the given variables and known values, such as \(g\). (b) How much energy is dissipated in the collision?