*84. When an object moves through a fl uid, the fl uid exerts a viscous forceFBon the object that tends to slow it down. For a small sphere of radiusR, moving slowly with a speed v, the magnitude of the viscous force isgiven by Stokes’ law, F 5 6phRv, where h is the viscosity of the fl uid.(a) What is the viscous force on a sphere of radius R 5 5.0 3 1024m that is falling through water (h51.00 3 1023mPa ?s) when the sphere has a speed of 3.0 m/s? (b) The speed of the falling sphere increases until the viscous force balances the weight of the sphere. Thereafter, no net force acts on the sphere, and it falls with a constant speed called the “terminal speed.”If the sphere has a mass of 1.0 3 1025m kg, what is its terminal speed?

Q: 2. To estimate the depth of an abandoned well, a piece of stone is dropped from rest into it and a…

A:

Q: When a small particle of weight wis transported by a moving fluid having a velocity V, it settles to…

A:

Q: A sphere of diameter 30 cm is moving with a uniform velocity of 4 m/s. The dynamic viscosity and…

A: Given- Diameter d=30 cm, Velocity V=4 m/s, Dynamic viscosity = 0.8 poises Specific gravity = 0.9…

Q: A mercury barometer at the base of the mountain reads 423 mm. At the same time, another barometer at…

A: Barometer reading at base = 423 mmBarometer reading at top = 423 mmSpecific weight of air (γ)= 21…

Q: An Aircraft with a drag coefficient of 0.95 and a frontal area of 10 m2 is travelling at a Mach…

A: Given that:-Drag coefficient,Cd=0.95Frontal area, A=10m2Mach number, M=0.7Pressure, P=101KPaWe know…

Q: O P= pgh

A:

Q: AP-20 A wood cube of density 750kg/m. The cube measures 30.0cm on all three sides. The cube is…

A: Given: The wood density ρwood =750 kg/m3 ; the water density is ρwater =1000 kg/m3 ; and the side of…

Q: *103. A lighter-than-air balloon and its load of passengers and ballast arefl oating stationary…

A: 103. The volume of the sphere is, V=43πr3=433.146.25 m3=1019.6 m3 The mass of the balloon is,…

Q: (a) A 74.0 kg man floats in fresh water with 3.00% of his volume above water when his lungs are…

A: Given : Mass of a man (m) = 74 kg Initial density (ρi) = (1 - 0.03)(ρwater) ρi = 0.97(1000) = 970…

Q: Determine the balance mass (m') or the true mass (m) and the error in the measurement for the four…

A: Given:  da = 0.0012 g/mldw = 8 g/mldtris = 1.33 g/mldNaCl = 2.16 g/mlmtris = 5.0038 gmNaCl = 4.0016…

Q: n a particular foundry, an engine component made of aluminum is to be produced using sand casting…

A: (a) Given: The radius of the upper portion of the sprue is 0.010 m. The rate at which the molten…

Q: 5. Two objects of identical mass attached to strings are suspended in a large tank of liquid, as…

A: volume (V) of B= 1.3×10-5 m3density of B = 1300 kgm3

Q: A 150-N object with density 870kg/m^3 loats in a liquid with density x with three-fourths of its…

A:

Q: In a car lift used in a service station, pressure is transmitted by an incompressible liquid from a…

A: Minimum force required to lift the car will be equal to the weight of the car. i.e. W=F2=13300 N

Q: 3. When an object moves through a fluid, the fluid exerts a viscous force F on the object that tends…

A: Given: The magnitude of the viscous force = F=6πηRv The radius of the sphere = 5.0 x 10-4 m Speed of…

Q: A body floats with 2/5th of its volume above the surface of water. Calculate the density of the…

A: Let total volume of body = V volume of body above the surface of water = 2V5volume of body immersed…

Q: The absolute viscosity of water, air, and glycerine at 20°C are 1 cP, 0.018 cP and 1.5 cP…

A: Solution:-Given thatAbsolute viscosity of water (μw)=1 cPAbsolute viscosity of air (μa)=0.018…

Q: Consider a spherical bacterium, with radius 0.95 μm , falling in water at 20° C.    Find the…

A: Given data: Radius r =0.95 μm Temperature T=20° C. Density of the bacterium, ρ = 1.45 × 103 kg/m3…

Q: A) A body was hanged by a spring scale. If the scale reading is 30 N in the air, 20 N when immersed…

A: A) The reading of the spring scale is 30 N in air. The reading of the spring scale becomes 20 N when…

Q: An astronaut stands upright inside a capsule on the moon's surface. What is the difference between…

A:

Q: Spherical balls of radius R are falling in a viscous fluid of viscosity Ƞ with a velocity v. The…

A: B

Q: Consider a spherical bacterium, with radius 1.4 μm , falling in water at 20° C. Find the terminal…

A:

Q: On October 21, 2001, Ian Ashpole of the United Kingdom achieved a record altitude of 3.35 km (11,000…

A: a) The total buoyant force on 600 balloons F=ρVgρ=1.225kg/m3 density of air at…

Q: If the balloon is perfectly spherical, calculate it's diameter provided the following values: M =…

A: the bouancy on balloon will be equal to the weight of climber and balloon

Q: The water flow rates of the liquid with the density 7,1 kg/m in all sections of the inclined pipe…

A:

Q: Find the maximum weight a boat can hold without sinking? If you are given the dimensions and mass…

A: To determine the maximum weight a boat can hold without sinking, you would need to follow these…

Q: For a wedding, a heart-shaped frame should be made r=1.2-1.2sinθ in meters, which will be made with…

A: For a wedding, a heart-shaped frame should be made r=1.2-1.2sinθ in meters, which will be made with…

Q: If the mass of the material the balloon is made of is 0.01 kg, how much mass could you attach to the…

A: Given:  mass of balloon , mb = 0.01 kg                density of helium, ρHe =  0.14 kg/m3…

Q: Find the weight density in SI units of a 315g object that displaces 0.275m^3 of water.

A: Weight density is the weight per unit volume of a substance or object.

Q: When the specific gravity is greater than a whole number, the object will float.   true or false

A:

Q: A typical American has a volume of around 0.07 cubic meters and a mass of 63 kg.  We humans live…

A: We are given mass and volume of man. We are also given density of air. Since air is a fluid, any…

Q: Scientist found evidence that mars may once have had an ocean that is 0.500 km deep. The…

A: The pressure due to the fluid is given by  P= h d g  where, h is the depth, d is the density of…

Q: A mass of 0.125 kg is dropped from rest within a fluid and obtains 80% of its maximum speed after a…

A: Given information: Here, m is the object’s mass and t is the time in which the body obtained 80 %…

Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.