A small projectile of mass \(m\) travels horizontally with initial speed \(v_0\) toward a stationary block of mass \(M\) on a frictionless horizontal surface. The projectile strikes and becomes completely embedded inside the block. Let \(K_i\) and \(p_i\) represent the initial kinetic energy and initial linear momentum of the projectile, respectively. Let \(|\Delta K|\) represent the magnitude of the mechanical kinetic energy dissipated during the collision, and let \(J\) represent the magnitude of the impulse delivered to the block of mass \(M\). In the limit as the mass ratio \(\dfrac{m}{M} \to 0\), what do the ratios \(\dfrac{|\Delta K|}{K_i}\) and \(\dfrac{J}{p_i}\) approach?