A toy duck is floating on the water. The average density of the duck is ρd = 860 kg/m3, while the density of water is ρ = 1.0 x 103 kg/m3. The volume of the duck is Vd = 0.000105 m3.  Express the weight of the duck, W, in terms of ρd and Vd.    Calculate the numerical value of W in Newtons.  Express the magnitude of the buoyant force, F, in terms of ρ and the volume of water that the duck displaces, Vw.

An automobile company displays a die-cast model of its first car, made from 9.70 kg of iron. To celebrate its hundredth year in business, a worker will recast the model in solid gold from the original dies. What mass of gold is needed to make the new model? (The density of iron is 7.86 x 103 kg/m3, and that of gold is 19.30 x 103 kg/m3.) kg

The average speed of blood in the aorta is 0.327 m/s, and the radius of the aorta is 1.00 cm. There are about 2.00 × 109capillaries with an average radius of 6.23 μm. What is the approximate average speed of the blood flow in the capillaries? ___mm/s

The systolic pressure of a patient is 110 mmHg and the diastolic pressure is 60 mmHg. Given that 760 mmHg is equivalent to 101.3 kPa, what is the systolic and diastolic blood pressure of this patient in units of Pascals?

What is the approximate mass of the air in our 10 m × 12 m × 4 m physics lab? The density of air is 1000 g/cm3. Convert density to kg/m^3

An antique coin is a mixture of silver and copper. The coin has a mass of 1.120 10-8 kg and in water weighs 0.8017 N. Determine the mass of silver in the coin. Use 1.05 164 kg/m3 as the density of silver, 7.89 193 kg/m3 as the density of copper, and 100 kg/m3 as the density of water.

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

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