Consider a group of people trying to stay afloat after their boat strikes a log in a lake. Construct a problem in which you calculate the number of people that can cling to the log and keep their heads out of the water. Among the variables to be considered are the size and density of the log, and what is needed to keep a person’s head and arms above water without swimming or treading water.

Q: A cube of pine wood, of side length 20 cm is held underwater. Ppine = 550 kg/m³ Pwater= 1000 kg/m³…

A: Length of the cube is l = 20 cm Density of the cube is ρc=550 kgm3 Density of water is ρw=1000 kgm3

Q: A box made of high grade plastic material has an initial volume of 20.00 m3.  It is then immersed…

A: Volume strain = change in volume ÷ initial volume. change in volume = final volume - initial volume…

Q: An anchor of mass 105 kg and volume 4 x 102 m is resting on the bottom of a lake, with rope of…

A: Given  Mass of anchor m = 105 kg Volume of anchor V = 4 × 10-2 m3 To find  Force must be exerted on…

Q: hollow sphere of inner radius 9.15 cm and outer radius 10.4 cm floats half-submerged in a liquid of…

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Q: What force is required (Fapp ) to hold it completely submerged under water? Q(1): A table-tennis…

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Q: Two firefighters are fighting a fire with identical water hoses and nozzles, except that one is…

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Q: What is at the origin of the force drag in water? A. The difference of the water flow speed above…

A: For an object that is moving through water, the drag force acts in a direction which is opposite to…

Q: What fraction of the volume of an iceberg (density 917kg/m3) would be visible if the iceberg floats…

A: Given : Density of iceberg (ρiceberg) = 917 kg/m3 Density of saltwater (ρsaltwater) = 1024 kg/m3…

Q: What fraction (f) of an iceberg floating in seawater is visible above the surface, if the density of…

A: Density of fresh-water ice = 917 kg /m^3 Density of seawater = 1024 kg /m^3   917 kg of sea water…

Q: A small, spherical bead of mass 3.00 g is released from rest at t = 0 from a point under the surface…

A: Mass of  the bead m=3g                               m=3×10-3 kg  Terminal Speed    vt= 2 cm/s =…

Q: A toy duck is floating on the water. The average density of the duck is ρd = 640 kg/m3, while the…

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Q: A submarine dives to a depth of 10 meters in deep lake. (water density =  1030 kg/m3). What is the…

A: Given data The depth of the deep lake is d = 10 m The density of water is ρ = 1030 kg/m3 The area of…

Q: While on a camping trip, a man would like to carry water from the lake to his campsite. He fills…

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Q: A swimming pool measures a length of 5.5 m , width 4.3 m, and depth 3.2 m  A) Compute the force…

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Q: Consider a massless hollow sphere of unknown radius r suspended in pure water by a mass m = 41.4 kg…

A: Given a massless hollow sphere of unknown radius rsuspended in pure water by a mass m = 41.4 kg as…

Q: A mixing beater consists of three thin rods, each 10.9 cm long. The rods diverge from a central hub,…

A: the drag force can be expressed as, R=12DρAv2=12DρArω2                                1    v=rω the…

Q: The density of iron is 7870 kg/m3 . A 1.50-m diameter ball of iron is completely submerged in salt…

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Q: A small, spherical bead of mass 2.50 g is released from rest at t = 0 from a point under the surface…

A: Given: m=2.50g = 2.50*10-3 kgvT=1.60 cm/s = 1.60*10-2 m/s

Q: What is the net force needed to hold the orifice plate shown in Fig. P4.121 onto the pipe? 40 cm…

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Q: A wooden raft has a density of 540 kg/m3 and dimensions of 3m by 6m by 0.25m (LxWxH). How many 70 kg…

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Q: The Mariana trench is located in the floor of the Pacific Ocean at a depth of about 11400 m below…

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Q: To lift a wire ring of radius 1.75 cm from the surface of a container of blood plasma, a vertical…

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Q: The Mariana trench is located in the Pacific Ocean at a depth of about 11 000 m below the surface of…

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Q: Consider the U tube shown in the figure. Knowing that liquid 1 is water with density 1000kg/m3 and…

A: Given: Density of water, = 1000 kg/m3 Height of oil coulmn, h2 = 0.1 m Height of water coulmn, h1 =…

Q: A small spherical bead of mass 3.00 g is released from rest at t =0 from a point under the surface…

A: (a) Write the given values of this problem.   m=3 gvT=2 cm/sF=-kv

Q: You need to move a hunk of gold across a river by placing it on top of a makeshift raft, which is…

A: mass of wood = 30 kg density of wood = 500 kg/m3volume of wood = mass/density  = 30/500  = 0.06…

Q: 1. A small metal pan of length 100cm, width 20cm and depth 4cm is floating in water. When a uniform…

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Q: An anchor of mass 105 kg and volume 4 x 102 m³ is resting on the bottom of a lake, with rope of…

A: Given  Mass of anchor m = 105 kg  Volume of anchor V = 4 × 10-2 m3 To find  Force that should be…

Q: A solid copper sphere suspended from a string has a mass of 1.50 kg and a density of 8.92 x 10³…

A: Given data : density of water (ρwater) = 1000 kg/m^3 g = 9.8 m/s^2 1 atm = 1.013 x 10^5 Pa mass of…

Q: Q.3. A battle ship weighs 127.53 MN. On filling the ship's boats on one side with water weighing…

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Q: A 1.25 kg block of wood (density = 850 kg/m3) floats on water. What fraction of the wood is above…

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Q: - An empty plastic jar has a volume of 1 and its owvn mass of 100 g. What mass of Tead shot can it…

A: Given: The volume of the jar is 1 L. The mass of the jar is 100 g = 0.1 kg. The density of the water…

Q: To determine an athlete’s body fat, she is weighed first in air and then again while she’s…

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Q: A hippopotamus is napping under water with only the end of its snoot above the surface. It has a…

A: Given data *The given mass is m = 1100 kg *The given volume is V = 1.0 m3 *The given density is ρ=1…

Q: A swimming pool has dimensions 36.0 m ✕ 6.0 m and a flat bottom. The pool is filled to a depth of…

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Q: A 16.0 kg platinum mass rests on the bottom of a pool. (The density of platinum is 21.4 ✕ 103 kg/m3…

A: Hi, as this problem contains multiple sub-parts, hence the first three sub-parts will be solved for…

Q: What fraction of the volume of an iceberg (density 917 kg/m3) would be visible if the iceberg floats…

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Q: An iron anchor of density 7870 kg/m3appears 200 N lighter in water than in air. Assume ρ of  water…

A: Given: The density of the iron anchor: ρiron = 7870 kg/m3 The iron anchor appears lighter in water…

Q: A small, spherical bead of mass 2.70 g is released from rest at t = O from a point under the surface…

A: Given: Mass of spherical bead m = 2.7 g. Terminal velocity vT = 1.7 cm/s. = 0.017 m/s.

Q: An object is 60cm below the surface of a liquid. The pressure due to the liquid at this depth is…

A: as per our guidelines solve 1st question only but i solved 2 questions

Q: A rectangular raft is 14 x 5 x 0.12 meters. If it has a density of 730 kg/m³, what is its mass in…

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