Question

A block of wood is tied to the bottom of a large container of water so that the block is completely submerged. The density of the block is 800 kg/m3 and its volume is 0.030 m3. What is the tension in the rope holding the block down in the water

Answer 1

58.9 N

Step-by-step explanation:

The wood is buoyed up by the mass of the water is displaces

wood volume = .030 m^3 = 30 000 cm^3

mass of water displaced = 30 000 g = 30 kg

wood mass = 800 kg/m^3 * .030 m^3 = 24 kg

so tension in string = mg = ( 30 kg - 24 kg) * 9.81 m/s^2 = 58.9 N