Final answer:
Yes, the added mass of a voluminous object in a massive fluid surrounding can be affected by stochastic motion of the mass. This is known as the Brownian effect and was observed for smaller bodies in the 19th century. When analyzing the motion of a system with more than one object, it is important to consider the external forces on the system and the center of mass.
Step-by-step explanation:
Yes, the added mass of a voluminous object in a massive fluid surrounding can be affected by stochastic motion of the mass, which refers to the relative motion between the object and the surrounding. Such fluctuations occur for bodies of any size in a fluid, including gases, and can become significant for smaller bodies. This phenomenon is known as the Brownian effect and was observed in the 19th century for pollen grains in water.
When analyzing the motion of a whole system with more than one object, it is important to define the system and consider the external forces acting on the system. The internal forces between the objects in the system, such as the constituent particles within an extended object, do not affect the velocity of the center of mass of the system.
In summary, the added mass of a voluminous object can be influenced by the stochastic motion of the mass, and it is important to consider the system as a whole when analyzing its motion.