An aluminum piston of 2.5 kg is in the standard gravitational field, and a force of 25 N is applied vertically up. Find the acceleration of the piston.

An ore sample weighs 15 N in air. When the sample is suspended by a light chord and totally immersed in water, the tension in the cord is 12.22 N. Find the total volume of the sample in m^3 and express it in three significant figures.

A pirate's treasure chest lies 67.4m below the surface of Lake Ontario. What is the absolute pressure acting on the treasure chest? [patm= 1.013 ×105Pa;ρsalt water= 1,050 kg/m3;ρfresh water= 1,000 kg/m3]

A block of wood with a mass of 0.57 kg is floating on the surface of a lake. What is the magnitude of the buoyant force acting on the block?

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A spherical weather balloon is filled with hydrogen until its radius is 4.10 m. Its total mass including the instruments it carries is 16.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure     with increasing altitude.

A tank of water (SG=1.0) has a gate in its vertical wall 5 m high and 3 m wide. The top edge of the gate is 2 m below the surface of the water. What is the hydrostatic force on the gate?