A playroom has dimensions 3700 mm x 4300 mm x 2500 mm. Assuming that the top of your head has a surface area of 350 cm^2, find the magnitude of the atmosphere’s downward force on your head.

In the process of loading a ship, a shipping container gets dropped into the water and sinks to the bottom of the harbor. Salvage experts plan to recover the container by attaching a spherical balloon to the container and inflating it with air pumped down from the surface. The dimensions of the container are 5.00 m long, 2.35 m wide, and 3.20 m high. As the crew pumps air into the balloon, its spherical shape increases and when the radius is 1.10 m, the shipping container just begins to rise toward the surface. Determine the mass of the container. You may ignore the weight of the balloon and the air in the balloon. The density of seawater is 1027 kg/m³. 434.54 X How does the weight of the container compare to the weight of the water displaced by the container and balloon when the container starts to rise? See if you can express the weight of the water displaced in terms of the density of the seawater and the dimensions of the container and balloon. kg Additional Materials

The owner of a company that manufactures drinking cups decides it would be impressive to build an inground swimming pool that is a scaled up version of her best selling cup. For this particular cup, the area of the circular opening at the top is 1.44 times the area of the circular bottom. Her pool contractor informs her that when the pool is full of water, the magnitude of the force acting on the top surface will be the same as the magnitude of the force acting on the bottom surface. Determine the depth of the pool. m Additional Materials O Reading Tutorial

The owner of a company that manufactures drinking cups decides it would be impressive to build an inground swimming pool that is a scaled up version of her best selling cup. For this particular cup, the area of the circular opening at the top is 1.24 times the area of the circular bottom. Her pool contractor informs her that when the pool is full of water, the magnitude of the force acting on the top surface will be the same as the magnitude of the force acting on the bottom surface. Determine the depth of the pool. m

It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3.

A lost shipping container is found resting on the ocean floor and completely submerged. The container is 6.4 m long, 2.4 m wide, and 2.9 m high. Salvage experts attach a spherical balloon to the top of the container and inflate it with air pumped down from the surface.. When the balloon's radius is 1.3 m, the shipping container just begins to rise towards the surface. What is the mass of the container? Ignore the mass of the balloon and the air within it. Do not neglect the buoyant force exerted on the shipping container by the water. The density of seawater is 1025 kg/m³. Number Units

The pressure exerted by a phonograph needle on a record is surprisingly large. If the equivalent of 1.50 g is supported by a needle, the tip of which is a circle 0.150 mm in radius, what pressure is exerted on the record in N/m2?

Problem 3: A person walks around in high-heeled shoes. Their weight is momentarily placed on one heel which has an area of 1.5 cm². If their mass is 60 kg, what is the pressure exerted by their heel on the floor in pascals?

Find the pressure exerted on the surface of a balloon if you press with a force of 2.6 N using (a)your finger or (b) a needle. Assume the area of your fingertip is 5x10-4 m2, and the area of the needle tip is 2.3x10-7 m². (c) Find the minimum force necessary to pop the balloon with the needle, given that the balloon pops with a pressure of 3.7×105 N/m².

A cylindrical storage tank has a cross sectional area A1=1.5 m². The tank is set up vertically on the ground and filled with V=7.5 m³ of water. There is a valve at the bottom of the tank with an internal cross sectional area of 1.5 cm². What fraction of the total volume will be drained in the first 50 minutes after the valve is opened?