Final answer:
The object will float because the buoyant force of 44.0 N exerted by the water is greater than the object's weight of 10 N.
Step-by-step explanation:
When an object is submerged in a fluid, it experiences a buoyant force. This force is the result of the pressure differential between the top and the bottom of the object. If the buoyant force is greater than the object's weight, the object will float; if it is less, the object will sink. Given that a 10 N object is placed in a tank of water and the water exerts a force of 44.0 N on the object, the buoyant force is greater than the weight of the object. Therefore, according to the principles of buoyancy, the object will float in water.