A sphere is placed over the three closely packed identical spheres on a horizontal plane. All the spheres are identical both in weightand size. If one sphere weighs 100-N, determine the contact reaction between the upper and bottom spheres in N.A 28.04163.3016.80D 40.8224.80F 18.4280.24H) 42.08

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Answered: A sphere is placed over the three…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 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 0.665 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 16.8 cm. What is the moment of inertia (in kg. m²) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm Tread 16.5 cm 30.5 cm kg - m²
Vector B→B→ has magnitude 7.30 and direction 14.0° below the +x-axis. Vector C→C→ has x-component Cx = −2.00 and y-component Cy = −6.70. b. What is the y-component of B→B→ ? c. What is the magnitude of C→C→ ? d. What angle does C→C→ make with the +x-axis in counterclockwise direction? A positive angle is counterclockwise from the +x-axis. (answer in degreees) e. What is the magnitude of C→+B→C→+B→ ?
Show the detailed diagrams, calculations, and solutions. Determine (a) the x, y, z components of the 200 N force in the figure, (b) the angles 6x, Oy, and Oz that the force forms with the coordinate axes. 450 N 35° 40°
550 N 65° Determine the x, y, and z components of the 550 N force. N Y 35° X
An automobile tire is shown in the figure below. The tire is made of rubber with a uniform density of 1.10 x 103 kg/m3. The tire can be modeled as consisting of two flat sidewalls and a tread region. Each of sidewalls has an inner radius of 16.5 cm and an outer radius of 30.5 cm as shown, and a uniform thickness of 0.620 cm. The tread region can be approximated as having a uniform thickness of 2.50 cm (tha inner radius is 30.5 cm and outer radius is 33.0 cm as shown) and a width of 19.6 cm. What is the moment of inertia (in kg · m2) of the tire about an axis perpendicular to the page through its center? Sidewall 33.0 cm 16.5 cm 30.5 cm Tread kg • m2
Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 3.663 g, is pressed into a leaf of 2.187 um thickness, what is the area of the leaf? (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 2.200 um, what is the length of the fiber? (a) Number i 1.429 Units m^2 (b) Number 72.56 Units
83184kg = 199.7 mg ball-bearing with arcum ference of 26.1 mm wegs 200mg Circumference of a circle = 2nr)? what is the density of the steel in g/cm³ (u of sphere = 4133 A steel 200mg Ⓡ Deng S (mm) Density = D = Di2g 3 D= masse lume S 062994 cm³ 0.66800267 v=4/7| (4:16mm)³_290-4mm 3 mm³ cm Convert + Tr = 4 tr ² 3 0 C = 2115 C = R 211 2994mm² (1 cm )3 26.1mm = 4.16mm 2 x 3.14 10 mm)³ mg-> conuert 200mg 1000g DRAA 0.2
1. Consider two points in space A = (2,1,3) and B = (1,0, – 1), and let a' and b represent the vectors OA and OB , respectively, where O = (0,0,0) is the origin. (a) Find the coordinate of the fourth vertex of the parallelogram whose other three vertices are 0, A, and B. (b) Let c = a' + b, find the unit vectors î, î, and î, in the direction of a', b, and c, respectively. (c) Find the projection of 2 a – 3 b onto the x, y and z axis, respectively. (d) Find the angle between 2 a' – 3 b and the x, y and z axis, respectively.
Gold, which has a density of 19.32 g/cm³, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold, with a mass of 49.73 g, is pressed into a leaf of 4.500 µm thickness, what is the area of the leaf? m2 (b) If, instead, the gold is drawn out into a cylindrical fiber of radius 1.500 µm, what is the length of the fiber? km
Inside the wall of a house, an L-shaped section of hot-water pipe consists of three parts: a straight, horizontal piece h = 28.0 cm long, an elbow, and a straight vertical piece l = 152 cm long (figure below). A stud and a second-story floorboard hold the ends of this section of copper pipe stationary. Find the magnitude and direction of the displacement of the pipe elbow when the coordinate system with it's origin at the elbow, the +x-axis to the right in line with the horizontal water flow is turned on, raising the temperature of the pipe from 18.0°C to 43.6°C. (Assume pipe and the +y-axis going upward.) 0.6568 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. mm 79.57 magnitude direction ° (clockwise from the +x-axis) Need Help? Read It
Pd Pd 1. Let's consider a toy model of nuclear fission. Suppose an nucleus of Uranium-235 (92 protons, molar weight of 235 g/mole) "splits" into two "daughter" nuclei of Palladium (46 protons each) – this is not how it really happens, but it's a very simple model that actually gives fairly accurate results. The radius of the original U-235 nucleus is about 7.4 x 10-15 m. (a) If the Pd nuclei each have half the volume of the U nucleus, which is reasonable, and they are "touching" right after the split, how far apart are their centers? (b) Using conservation of energy, what will be the sum of the kinetic energies of the Pd nuclei when they are far apart from each other? (c) That's energy of one atom undergoing fission, so what, then, is the energy released by the fission of 1 kg of U-235? Express this in Joules and also in kilotons of TNT, where 1 kt = 4.2x1012 J. (The Hiroshima bomb yielded about 15 kt) (d) How many kwh (kilowatt-hours) of energy is this, (1 kwh = 3.6x10° J), and (if…
You are a technician at an MRI center. One day some medical students enter your lab for a training session. One of them asks about metal in the MRI room, and you clearly state that that is a dangerous situation. The questioner does not look convinced, so you provide the following example. Suppose a woman enters the MRI machine and has forgotten to remove a silver choker necklace. The necklace can be modeled as a ring of radius 7.50 cm. The cross section of the necklace is a rectangle of width 1.25 cm and thickness 0.300 cm. As the woman lies in the machine, the plane of the necklace is perpendicular to the magnetic field lines in the machine. Suddenly, there is a power failure, and the magnetic field in the MRI machine drops from 3.00 T to zero in 15.0 ms. To make the point to the students, determine the temperature change (in K) by which the necklace around the woman's neck rises. (Use any values in this table, this table, or this table). Write an equation involving the specific heat…

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A sphere is placed over the three closely packed identical spheres on a horizontal plane. All the spheres are identical both in weight and size. If one sphere weighs 100-N, determine the contact reaction between the upper and bottom spheres in N. 28.04 B 163.30 16.80 40.82 E 24.80 18.42