Please answer all the questions

1. Aluminum has a density of around 2.7 kg/m3. Does it float in water? Yes?, no?, Explain. 2. The density of gold is 19300kg/m3. Does a gold piece of jewellery float in water?. Explain. 3. If a 1m3 object is floating in water and the volume submerged is equal to 0,3 m3, what is the density of the object?. 4. You want to lift a 1000kg car with a hydraulic press that has a piston with an area A1=0.5cm2 and another one with area A2=40cm2. What is the force you should apply to the smaller piston? 5. Compute the buoyant force of a 500 kg piece of lead (lead density=11 342 kg/m3) completely submerged in water. Compare this force with the weight of the piece of gold. Will it end up floating, completely submerged or will it sink to the bottom?. Show computations and explain. 6. A pirate chest rests at the bottom of an ocean. If the water is still, the net force it exerts on the chest: A) .is upward, B) is downward, C) is zero, D) depends on the mass of the chest, E) depends on the contents of the chest. Justify your choice. 7.Compute the weight of an object that, floating in water, displaces 0.8 cubic meters of liquid. Show computations and explain