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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 thin 1.5-mm coating of glycerine has been placed between two microscope slides of width 1.0 cm and length 4.0 cm. Find the force required to pull one of the microscope slides at a constant speed of 0.30 m/s relative to the other slide.arrow_forwardA car with two passengers and fuel weighs 1000 kg. It has wings with an area of 16 m^2 that are designed such that air moving over them must travel 1.05 times as far as air moving under them. How fast must this plane be moving so that wings generate enough lift to offset the plane's weight? The wings are thick. Please give answer in m/sarrow_forward
- You and your team are exploring a river in South America when you come to the bottom of a tall waterfall. You estimate the cliff over which the water flows to be about 100 feet tall. You have to choose between climbing the cliff or backtracking and taking another route, but climbing the cliff would cut two hours off of your trip. There is only one experienced climber in the group: she would climb the cliff alone and drop a rope over the edge to lift supplies and allow the others to climb without packs. The climber estimates it will take her 45 minutes to get to the top. However, you are concerned that the rope mightbe too short to reach the bottom of the cliff (it is exactly 30.0 m long). If it is too short, she'll have to climb back down (another 45 minutes) and you will be too far behind schedule to get to your destination before dark. As you contemplate how to determine whether the rope is long enough, you notice that the late afternoon shadow of the cliff grows as the sun descends…arrow_forwardYou and your team are exploring a river in South America when you come to the bottom of a tall waterfall. You estimate the cliff over which the water flows to be about 100 feet tall. You have to choose between climbing the cliff or backtracking and taking another route, but climbing the cliff would cut two hours off of your trip. There is only one experienced climber in the group: she would climb the cliff alone and drop a rope over the edge to lift supplies and allow the others to climb without packs. The climber estimates it will take her 45 minutes to get to the top. However, you are concerned that the rope might be too short to reach the bottom of the cliff (it is exactly 30.0 m long). If it is too short, she'll have to climb back down (another 45 minutes) and you will be too far behind schedule to get to your destination before dark. As you contemplate how to determine whether the rope is long enough, you notice that the late afternoon shadow of the cliff grows as the sun descends…arrow_forwardA student suggests that the force of air resistance FA depends on the relative speed of an object passing through the air v according to FA = kvN, where k is a constant with appropriate units that depends on properties of the air and the size and shape of the object and N is a dimensionless exponent. The student has a hollow ball made of two hemispherical shells that can be connected together and disconnected, along with access to other commonly available materials. Write an experimental procedure that the student could follow to make measurements in order to find the value of N, and explain how a graph of In(FA) vs. In(v) could be used to find the values of k and N.arrow_forward
- A 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_forwardProblem 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_forwardArchie designs an arch of a certain width and height to serve as an outdoor sculpture in a park. To achieve the size and shape for the strongest possible arch, he suspends a chain from two equally elevated supports as far apart as the arch is wide and allows the chain to hang as low as the arch is high. He then designs the arch to have exactly the inverted shape of the hanging chain. Explain why.arrow_forward
- The drag force, D, on a plate moving with a velocity of (40.0 ± 0.2) km/h through air of density p = ( 1.200 ±0.010) kg/m3, with a surface area of (100.00 ± 0.5mm) x (30.00 ± 0.05cm) is given by D = Cd p AV² where Ca= 2.1 is a non-dimensional constant. What is the drag force D? 30.00 cm 100.00mm O D = 9.33 ± 0.233 N D = 8.9±0.2kg D =0.89±0.22 N D = 9.33 ± 2.33 x 101 N D = 9.3 ± 0.2 Narrow_forwardThe Zero Gravity Research Facility at NASA-operated Glenn Research Center in Ohio is used to test the behavior of fluids, flames, equipment and other objects in free fall. It consists of a 467-foot long, 12-foot diameter, steel vacuum chamber. The steel chamber resides inside of a concrete lined shaft that extends 510 feet below ground level. Objects falling through the tower experience free fall over a distance of 135.9 m. How long does it take a dropped object to fall all the way down the chamber? (Note: acceleration = -9.81 m/s/s)?arrow_forwardAssume a certain liquid, with density 1 300 kg/m3, exerts no friction force on spherical objects. A ball of mass 2.30 kg and radius 8.90 cm is dropped from rest into a deep tank of this liquid from a height of 2.10 m above the surface. (a) Find the speed at which the ball enters the liquid. m/s (b) Evaluate the magnitudes of the two forces that are exerted on the ball as it moves through the liquid. gravitational force buoyant force N (c) Explain why the ball moves down only a limited distance into the liquid. This answer has not been graded yet. Calculate this distance. liquid? (d) With what speed does the ball pop up out of m/s (e) How does the time interval Atun during which the ball moves from the surface down to its lowest point, compare with the time interval At., for the return trip between the same two points? O The down interval is greater. O The up interval is greater. O The two intervals are equal. (f) Now modify the model to suppose the liquid exerts a small friction force…arrow_forward
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