A plastic beach ball has radius 20.0 cm and mass 0.10 kg, not including the air inside, (a) What is the weight of the beach ball including the air inside? Assume the air density is 1.3 kg/m3 both inside and outside, (b) What is the buoyant force on the beach ball in air? The thickness of the plastic is about 2 mm- negligible compared to the radius of the ball, (c) The ball is thrown straight up in the air. At the top of its trajectory, what is its acceleration? [Hint: When u = 0, there is no drag force.]

A 2.5-m-tall steel cylinder has a cross-sectional area of 1.5 m2. At the bottom, with a height of 0.5 m, is liquid water, on top of which is a 1-m high layer of gasoline, relative density of 0.8. The gasoline surface is exposed to atmospheric air at 101 kPa. What is the total mass of the liquid in the cylinder? 2000 kg O 1250 kg O 3250 kg O 1625 kg

A scientist is calculating the density of an ore sample. The scien- tist measures that the ore sample weighs 22.4 N in air. When the sample is suspended by a thin light cord and totally immersed in water, the tension in the cord is 14.2 N. What is the density of the ore sample that the scientist calculates. You can assume that any buoyant force from air is negligible.

What fraction of ice is submerged when it floats in freshwater, given the density of water at 0°C is very close to 1000 kg/m3 ?

(Figure 1) shows a container with a cross section area of 15 cm² in which a layer of water floats on top of a layer of mercury. A 1.0 kg wood block with a cross-section area of 10 cm² floats on the water. The water depth, measured from the bottom of the block, is 25 cm. A pressure gauge at the bottom of the container reads 20 kPa. Figure 1.0 kg 25 cm h 10 cm² 15 cm² 1 of 1 > Part A = What is the depth dm of the mercury? Use pw = 1000 kg/m³ as the density of water and pm density of mercury. Express your answer in centimeters. ► View Available Hint(s) dm = Submit ——| ΑΣΦ Provide Feedback Request Answer ? cm Review 13,600 kg/m³ as the Next >

2 6. A spherically shaped balloon has a radius of 12.5 m, and is filled with helium. How much extra mass can a cargo lift, assuming that the skin and the cargo of the balloon have a mass of 1050 kg? Neglect the buoyant force on the cargo volume itself. (The density of air is 1.29 kg/m³ and the density of helium is 0.179 kg/m³) ← NO 2 W S X H command #3 E D kg C с $ 4 ZEE!!! R F V G Search or type URL % R 10 5 T G A 6 MacBook Pro B Y H & 7 N U J * 00 8 M - ✪ K ( - O 9 dh V- V O L ) O command 1332 jil332 P > t : ; option { [ ? 4 1 + 11 FF A

Which of the following is true for the situation below? po is the atmospheric pressure, p is the density of the mercury. Pgas - Mercury 16 cm 6 ст Pgas = PO Pgas + Pg(0.06m) = PO Pgas = Po + pg(0.10m) Pgas = Po + pg(0.16m) O Pgas + Pg(0.10m) = Po %3D pgas + pg(0.16m) = Po Pgas = Po + pg(0.06m)

Determine the thickness of a hollow aluminum sphere with a mass of o.35g and has an outer radius of o.50 cm if the density of the aluminum is 2700kg/m^3.

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A solid, square of floating ice measuring 5 m on a side and 0.33 meter thick floats partially submerged in water.  Determine the number of penguins that can stand on the ice block without any of them getting their flippers wet? (i.e. such that the top surface of the ice block floats at water level)?  Assume that the mass of each penguin is 10 kg. Round your answer to the nearest whole number of penguins. Assume the density of saltwater is 1030 kg/m3 and the density of ice is 980 kg/m^3