The earth does not have a uniform mass distribution. The core of the earth has a radius of 3490 km and a mass of 1.93 x 1024 kg. This is surrounded by the mantle with radii from 3490 km to 6345 km and a mass of 4.01 × 1024 kg. Finally, this is all surrounded by the crust with a thickness of 25 km and a mass of 3.94 x 102² kg.
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A: Option e is correct. Bones fracture due to compression only. Rather they generally fracture due to…
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A: Since you have asked multiple questions in a single request, we would be answering only the first…
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A: Write the shear strain. ϕ=tanϕ=∆xh=∆x3000
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A: Solution:
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A: Required : Density of 12 kg of Gold.
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A: Given data : radius of cylindrical cumulus cloud, R = 3 × 103 m = 3000 m height…
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Q: The Earth has a mass of 5.98*1024kg and an average radius of 6.37*10 m. What is the density of the…
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Q: One cubic meter (1.00 m3) of aluminum has a mass of 2.70 x 103 kg, and the same volume of iron has a…
A: Details Given: Mass of Aluminum = 2.70*103kg Volume of Aluminum = 1.00m3 Mass of iron = 7.86*103kg…
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A: what is asked:- Is 3 m/s is greater than 2.9 m/s²
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A: Analysing the question, In this question we are given that the height of the monument, h = 15.7 m…
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Q: A simple model (Fig. 10–56) considers a continent as a block (density = 2800 kg/m³) floating in the…
A: Given: A simple modelconsiders a continent as a block (density = 2800 kg/m3) floating in the mantle…
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A: We know that the Second moment of area is also known as the area moment of inertia of the shape, it…
Q: Please answer in gresa forma and write legibly 1. A thin sheet of gold foil of mass 7.5 mg measures…
A: Given : m = 7.5 mg = 7.5 × 10-6 kg A = 3.65 cm2 = 3.65 × 10-4 m2 ρ = 19300 kg/m3
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Q: Earthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves)…
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Q: One cubic meter (1.00 m) of aluminum has a mass of 2.70 × 10 kg, and the same volume of iron has a…
A: Given: The volume of the aluminum rod is 1 m3. The density of aluminum is 2.7x103 kg/m3. The density…
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A: Given Speed of first wave = v1 = 8 km/s SSpeedof secondwave = v2 = 5 km/s Time gap between the wave…
Q: The following figure shows the arrangement of three uniform square laminas and each lamina measures…
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Q: A cloud has one edge at the origin and extends a distance of 3.9 meters to the other edge. The…
A: given that, distance, L=3.9 m Linear mass density = 177 x4
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Q: You have been given a small rock sample to identify based on its density. Suppose that you use the…
A: Density is a mass of unit volume. It is the ratio of mass and volume It is measured in kg/m3
Q: Find the intensity of an earthquake with a period of 0.03 and an amplitude of 4,000 micrometers.
A: Given: Time period of earthquake, T = 0.03 s Amplitude of the earthquake, A = 4000…
Q: 15) Antartica is a roughly semicircle ir shape with a radius of 2000 km. The average thickness of…
A: Area of semicircleA=πR22where R= radius= 2000 kmR=2×106 m
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Q: A metal wire of diameter 1.00 mm can support a tension of 0.290 kN. A construction worker needs a…
A: Expression for young's modulus is Y=FA∆LLRearrangeA=FLY∆LπD24=FLY∆LD2=4FLYπ∆L Taking ratio…
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A: Given data *The earthquake has an intensity is I = 38.25 *The intensity of the standard earthquake…
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A: Given: The length of the ladder is 10 m. The distance between the foot of the ladder and the wall is…
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A:
Q: alculate the mass of a solid gold rectangular bar that has dimensions lwh = 5.65 cm ✕ 10.5 cm ✕ 27.5…
A: mass = volume x density volume = 5.65 cm ✕ 10.5 cm ✕ 27.5 cm. =1631.4375 x 10-6 m3 Density = 19.3…
Q: 19. A force of 5000N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm…
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Q: A homogeneous circular disc with radius R = 5.01 m and thickness t = 16.9·10^−3 m. Calculate the…
A: Given: Radius of disc: R=5.01 [m] Thickness of disc: t=16.9×10-3 [m] Density of disc: ρ=6.67 [kg/m3]
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Q: Using Stokes Law, calculate the terminal velocity of a medium sand grain (diameter = 0.500 mm) of…
A: Ans is B Explaination
Q: Earthquakes at fault lines in Earth's crust create seismic waves, which are longitudinal (P-waves)…
A: Write the given values with the suitable variables. v=6 km/s=6000 m/sρ=2800 kg/m3 Here, v is the…
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A: Pascal's law: pressure exerted on a fluid at rest is same in all directions. P1 =P2 =P3…
Q: The following figure shows the arrangement of three uniform square laminas and each lamina measures…
A:
Q: One cubic meter (1.00 m3) of aluminum has a mass of 2.70 x 103 kg, and the same volume of iron has a…
A: Density of Aluminium = Dal=2.7×103 kg/m3 Density of Iron = Di=7.86×103 kg/m3 Radius of iron = r =…
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- A uniform steel rod has mass 0.300 kgkg and length 40.0 cmcm and is horizontal. A uniform sphere with radius 8.00 cmcm and mass 0.900 kgkg is welded to one end of the bar, and a uniform sphere with radius 6.00 cmcm and mass 0.680 kgkg is welded to the other end of the bar. The centers of the rod and of each sphere all lie along a horizontal line. How far is the center of gravity of the combined object from the center of the rod? Express your answer with the appropriate units. Enter negative value if the center of gravity is toward the 0.900 kgkg sphere and positive value if the center of gravity is toward the 0.680 kgkg sphere.a uniform sphere of mass m 0.85 kg and radius r 4.2 cm is held in place by a massless rope attached to a frictionless wall a distance L 8.0 cm above the center of the sphere. Find (a) the tension in the rope and (b) the force on the sphere from the wall.Which of the following cross-sectional areas will have the largest second moment of area? a. Solid square with 10cm length b. Solid circle with 10cm radius c. Hollow circle with inner radius of 5cm and outer radius of 10cm d. Hollow square with inner length of 5cm and outer length of 10cm
- three rotating, uniform disks that are coupled by belts. One belt runs around the rims of disks AandC.Another belt runs around a central hub on disk A and the rim of disk B. The belts move smoothly without slippage on the rims and hub. Disk Ahas radius R; its hub has radius 0.5000R; disk B has radius 0.2500R; and disk C has radius 2.000R. Disks B and C have the same density (mass per unit volume) and thickness.What is the ratio of the magnitude of the angular momentum of disk Cto that of diskB?The wheels of a wagon can be approximated as the combination of a thin outer hoop, of radius ?h=0.156 mrh=0.156 m and mass 5.08 kg5.08 kg, and two thin crossed rods of mass 7.80 kg7.80 kg each. A farmer would like to replace his wheels with uniform disks ?d=0.0525 mtd=0.0525 m thick, made out of a material with a density of 8290 kg8290 kg per cubic meter. If the new wheel is to have the same moment of inertia about its center as the old wheel about its center, what should the radius of the disk be?A solid cylinder has length L = 14 cm and radius R = 2 cm. The center of one face of the cylinder is located at the origin and the cylinder’s axis lies along the positive x-axis. The mass density of the cylinder varies along its length and is given by the function: ρ(x) = Ax2 + Bx + C, where A = 13.5 kg/m5, B = 5.2 kg/m4, and C = 14.2 kg/m3. Consider a thin slice of the cylinder that is a disk located at distance x from the origin and having thickness dx. Enter an expression for the mass of this disk in terms of the defined quantities and dx. Integrate the expression you entered in part (a) and enter an expression for the mass of the whole cylinder in terms of the defined quantities. Calculate the mass of the cylinder, in grams. Enter an expression for the location of the cylinder’s center of mass along the x-axis, in terms of the defined quantities. Calculate the location of the cylinder’s center of mass along the x-axis, in centimeters.
- Calculate the angular momentum (in kg · m2/s) of Mercury in its orbit around the Sun. (The mass of Mercury is 3.300 ✕ 1023 kg, the orbital radius is 5.790 ✕ 107 km and the orbital period is 0.241 y.) kg · m2/s (b) Compare this angular momentum with the angular momentum of Mercury on its axis. (The radius of Mercury is 2.440 ✕ 103km and the rotation period is 1408 h.) Lorbital Lrotation =Assume the earth is a uniform sphere of mass M and radius R. As strange as it may sound, if one can dig a long tunnel from one side of the Earth straight through the center and exit the other end, any object falling into the tunnel will appear at the other end (i.e. the opposite side of the Earth) in just 2530 s (42.2 min). Call that time t. Let t be a function of G, M, and R, where G = 6.67 x 10^-11 m3 kg−1 s−2 is the Universal Gravitational Constant, M = 5.98 x 10^24 kg, and R = 6400 km. (a) From dimensional analysis alone find the expression for t, up to a numerical constant c.(b) Determine the value of c by using the above values in the expression found in part (a).The shown disk rolls on the plane surface with a constant counterclockwise angular velocity of 10 rad / s. Bar AB slides on the surface of the disk at A, determine: a) The angular velocity of the bar AB, direction and magnitude b) The angular acceleration of the bar AB, sense a magnitude c) Coriolis acceleration, sense and magnitude d) The absolute acceleration of the end of the bar in A, sense and magnitude referred to the horizontal
- A bowling ball (which we can regard as a uniform sphere) has a mass of 7.26 kg and a radius of 0.216 m. A baseball has a mass of 0.145 kg. If you connect these two balls with a lightweight rod, what must be the distance between the center of the bowling ball and the center of the baseball so that the system of the two balls and the rod will balance at the point where the rod touches the surface of the bowling ball?Three electrical charges isolated from the rest of the universe are located at the vertices of an equilateral triangle. Charge 3 attracts charge 1 with a force of modulus F1(3) = 4.3 N and repels charge 2 with a force of modulus F2(3) = 6.7 N. What is the modulus of the sum of the reaction forces on the charge 3 in Newtons? a. 10,95 b. 8,45 c. 9,60 d. None of the other alternatives are correct. e. 12,39 f. 2,21 g. 15,17 h. 0,86A 0.20 kg yo-yo consists of two solid disks of radius 7.30 cm joined together by a massless rod of radius 1.0 cm and a string wrapped around the rod. One end of the string is held fixed and is under constant tension T as the yo-yo is released. (a) Find the acceleration of the yo-yo. (solved).35 m/s2(b) Find the tension T. (unsolved)