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Stokes' law describes sedimentation of particles in liquids and can be used to measure viscosity. Particles in liquids achieve terminal velocity quickly. One can measure the time it takes for a particle to fall a certain distance and then use Stokes' law to calculate the viscosity of the liquid. Suppose a steel ball bearing (density
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- An inflated spherical beach ball with a radius of 0.3573 m and average density of 10.65 kg/m3 is being held under water in a pool by Janelle. The density of the water in the pool is 1000.0 kg/m3. When Janelle releases the ball, it begins to rise to the surface. If the drag coefficient of the ball in the water is 0.470 and the constant upward force on the ball is 1875 N, what will be the terminal speed of the ball as it rises? Ignore the effects of gravity on the ball.arrow_forwardA reservoir tank that is filled of water has a hole with a diameter of 15 cm. The height of water is 85 cm and the distance of the hole from the ground is 40 cm. If the acceleration due to gravity is 9.81 m/s2, after 1 hour, how much water came out of the tank? 860.58 kg 835.65 kg 725.53 kg 787.2 kgarrow_forwardq3arrow_forward
- While workers spray paint the ceiling of a room, numerous small paint aerosols are dispersed into the air. Eventually, these particles will settle out and fall to the floor or other surfaces. Consider small spherical paint particles of diameter D = 10 μm and specific gravity of 1.2. Determine the time it would take this particle to fall 2.4 m from near the ceiling to the floor. Assume that the air within the room is motionless.arrow_forwardA legendary Dutch boy saved Holland by plugging a hole in a dike with his finger, which is 1.10 cm in diameter. (a) If the hole was 1.80 m below the surface of the North Sea (density 1030 kg/m3), what was the force on his finger? 3 Your response differs from the correct answer by more than 10%. Double check your calculations. N (b) If he pulled his finger out of the hole, how long would it take the released water to fill 1 acre of land to a depth of 1 ft assuming the hole remained constant in size? (A typical U.S. family of four uses 1 acre-foot of water, 1234 m3, in 1 year.) 33 Your response differs from the correct answer by more than 10%. Double check your calculations. daysarrow_forwardA thin 1.50-mm coating of glycerin has been placed between two microscope slides of width 1.00 cm and length 4.00 cm. Find the force required to pull one of the microscope slides at a constant speed of 0.300 m/s relative to the other slide.arrow_forward
- 1) At any time, approximately 20 volcanoes are actively erupting on the Earth, and 50-70 volcanoes erupt each year. Over the past 100 years, an average of 850 people have died each year from volcano eruptions. As scientists and engineers study the mechanics of lava flow, accurately predicting the flow rate (velocity) of the lava is critical to saving lives after an eruption. Jeffrey's equation captures the relationship between flow rate and viscosity as: pgr sin(a) 3µ where p is the density of the lava, g is gravity, t is the flow thickness, a is the slope, and µ is the lava viscosity. Typical values are given as follows V = %3D Flow t=28 cm 10° for the flow rate: H= 4x10' kg/(m.s) +1% p= 2.5 g/cm +1% t= 28 cm +0.5 cm a= 10° +1 ° g= 9.81 m/s? Determine the likely maximum possible error in the calculated value of the flow rate.arrow_forwardA bunch of needles fell on a basket of feathers. What is the best method to do to separate the needles from the feathers without hurting yourself? Give a brief and exact explaination.arrow_forwardThe apron you wear during dental X-rays is lead-lined and so very heavy. What is the mass of a lead brick 9.2 cm x 5.7 cm x 20 cm? The density of lead is 11.300 kg/m3arrow_forward
- Problem 2: A farmer is using a rope and pulley to lift a bucket of water from the bottom of a well that is h, = 14.5 m deep. The farmer uses a force F1= 49.5 N to pull the bucket of water directly upwards. The total mass of the bucket of water is m, + my = 3.5 kg.arrow_forwardAn automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 ✕ 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of the sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.645 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (that is, its inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 21.2 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center?arrow_forwardResearchers from NASA performed an experiment that will carry a land rover of 900 kg on MARS at a velocity of 90 m/s using a parachute with a diameter of 100 m. How much velocity would be needed if the experiment will be performed on EARTH carrying 10 kg mass? Let the mass density of air on MARS be 0.2 kg/cu.m. The mass density of air on EARTH is 1.225 kg/cu.m.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning