Consider a balloon filled with 1 liter of water (1000 ern") in equilibrium in a

Consider a balloon filled with 1 liter of water (1000 ern") in equilibrium in a container of water, as shown in Figure 1. a. What is the mass of the 1 Iiter of water? b. What is the weight of the 1 liter of water? c. What is the weight of water displaced by the balloon? Figure 1 WATER DOES NOT SINK IN WATER! d. What is the buoyant force on the balloon? e. Sketch a pair of vectors in Figure 1: one for the weight of the balloon and the other for the buoyant force that acts on it. How do the size and directions of your vectors compare?

As a thought experiment, pretend we could remove the water from the balloon but still retain the same size of 1 liter. Then inside the balloon is a vacuum. d. What is the buoyant force on the nearly massless balloon? CUZ U= YOU PUSH 9.8 N OF WATER ASlOE THE WATER PUSHES BACK ON YOU WiTH 9.8 N ! a. What is the mass of the liter of nothing? b. What is the weight of the liter of nothing? c. What is the weight of water displaced by the nearly massless 1-liter balloon?

Assume the balloon is replaced by a 0.5-kilogram piece of wood that has exactly the same volume (1000 ern"), as shown in Figure 2. The wood is held in the same submerged position beneath the surface of the water. b. What is the mass of the water displaced by the wood? Figure 2 c. What is the weight of the water displaced by the wood? d. How much buoyant force does the surrounding water exert on the wood? e. When the hand is removed, what is the net force on the wood? f. In which direction does the wood accelerate when released?

Repeat parts a through f in the previous question for a 5-kg rock that has the same volume (1000 ern"), as shown in Figure 3. Assume the rock is suspended in the container of water by a string. -L a b. c. ~ . ..... .~4.:....... : .. 'y" d. e. f.

The air-filled balloon is weighted so it sinks in water. Near the surface, the balloon has a certain volume. Draw the balloon at the bottom (inside the dashed square) and show whether it is bigger, smaller, or the same size. a. Since the weighted balloon sinks, how does its overall density compare to the density of water? b. As the weighted balloon sinks, does its density increase, decease, or remain the same? c. Since the weighted balloon sinks, how does the buoyant force on it compare to its weight? d. As the weighted balloon sinks deeper, does the buoyant force on it increase, decrease, or remain the same?

What would your answers be to the above questions (5.a to d) for a rock instead of an air-filled balloon? a. b. c. d.