Archimedes' Principle

A boat of mass 810 kg displaces 180 m³ of water when it is lowered into seawater. Calculate the upthrust acting on the hull of the boat and determine whether it will sink or float. Take density of seawater as 1030 kg/m³.

• 1,818,774 N

• 1,585,675N

• Sink

• Float

A boat of mass 210 kg displaces 80 m³ of water when it is lowered into seawater. Calculate the upthrust acting on the hull of the boat and determine whether it will sink or float. Take density of seawater as 1030 kg/m³.

• 982,544 N

• 808,344 N

• Sink

• Float

A cube of brass with dimensions of 500 x 500 x 500 mm and mass of 1,100 kg is lowered into a tank. Determine the upthrust and whether the cube will sink or float if the tank is filled with Crude Oil (Texas).

• 1.82 kN

• 1.07 kN

• Sink

• Float

A cube of brass with dimensions of 500 x 500 x 500 mm and mass of 1,100 kg is lowered into a tank. Determine the upthrust and whether the cube will sink or float if the tank is filled with pure water.

• 1086.8 N

• 1226.6 N

• Sink

• Float

A cube with sides of 80 mm is hung on a weighing scale and weighs 74 N. The cube is lowered into a bucket of pure water until it is fully immersed. What value of weight will the weighing scale show now?

• 64.72 N

• 72.33 N

• 68.98 N

• 73.20 N

A spherical buoy of diameter 0.5 m and mass 60 kg is attached to the seabed by a mooring rope and floats fully submerged. Calculate the tension in the mooring rope. Take density of seawater as 1020 kg/m³. (Use 2 d.p. throughout calculations)

• 38.2 N

• 46.4 N

• 54.5 N

• 61.8 N