An empty rubber balloon has a mass of 12.5 g. The balloon is filled with helium at a density of 0.181 kg/m33. At this density the balloon has a radius of 0.268 m. If the filled balloon is fastened to a vertical line, what is the tension in the line? The density of air is 1.29 kg/m33

At a given instant, the blood pressure in the heart is 1.1 x 104 Pa. If an artery in the brain is 0.38 m above the heart, what is the pressure in the artery? Ignore any pressure changes due to blood flow. Number Type your answer here Units Choose your answer here

A manometer containing water with one end connected to a container of gas has a column height difference of h = 0.31 m (see figure below). If the atmospheric pressure on the right column is 1.01 ✕ 105 Pa, find the absolute pressure of the gas in the container. The density of water is 1.0 ✕ 103 kg/m3. Pa

To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 3.61 x 103 kg/m³. What fraction of the specimen's apparent volume is solid? Number Units

The blood pressure in someone's heart is 1.70 104 Pa at a certain instant. An artery in the brain is 0.53 m above the heart. What is the pressure in the artery? The density of blood is 1060 kg/m^3.

A person is diving in a lake in the depth of h = 10.5 m. The density of the water is ρ = 1.0 x103 kg/m3. The pressure of the atmosphere is P0 = 1.0 x 105 Pa. The surface area of the top of the person's head is A = 0.0335 m2.  a. Express the absolute pressure at the depth of h, P, in terms of P0, ρ, and h.  b. Calculate the numerical value of P in Pa.  c. Express the magnitude of the force exerted by water on the top of the person's head F at the depth h in terms of P and A.  d.  Calculate the numerical value of F in N.

You put a marble on a balance and find it has a mass of 1.2 grams.  It is an irregular shape, so you need to do displacement to find its volume. You put it in a graduated cylinder with a starting volume of 30.0 mL of water. After you add the marble, the water rises to 31.5 mL.  What is the density? Group of answer choices 0.038 g/mL 1.3 g/mL 0.80 g/mL 1.8 g/mL

A whale can reach depths of 2551 m below the surface of the ocean. What is the pressure on the whale’s skin at that depth, assuming that the density of seawater is constant from the surface to that depth? The density of seawater at the surface is 1025 kg/m3.

A person is laying flat on their stomach while tanning at the beach. What is the force on the person's back from the pressure of the atmosphere? Approximate the surface of the person's back as a 0.6 m x 0.5 m rectangle and recall that atmospheric pressure is Patm = 1.01 x 105 N/m2.

A submersible is sent to explore the bottom of a lake that is 570 m deep. The density of water is 1000 kg/m3.The submersible has a window that is 16 cm wide and 23 cm tall. Assume that the atomospheric pressure is 101.3 kPa. What is the force on the window due to the pressure of the water and atmosphere? Give the answer in kN.