The following table gives the density D (in gm/cm³) of the earth at a depth x km below the earth's surface. The radius of the earth is about 6370 km. 1000 2000 2900 3000 4000 5000 6000 6370 D 3.3 4.5 5.1 5.6 10.1 11.4 12.6 13.0 13.0 Find an upper bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. i x1027 8 Find the best lower bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. x1027

The following table gives the density D (in gm/cm³) of the earth at a depth x km below the earth's surface. The radius of the earth is about 6370 km. 1000 2000 2900 3000 4000 5000 6000 6370 D 3.3 4.5 5.1 5.6 10.1 11.4 12.6 13.0 13.0 Find an upper bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. i x1027 8 Find the best lower bound for the earth's mass that you can give based on this data. Round your answer to two decimal places. x1027

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 14P: The Scope and Scale of Physics Find the order of magnitude of the following physical quantities. (a)...

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CASE STUDY On planet Betatron, mass is measured in bloobits and length in bots. You are the Earth representative on the interplanetary commission for unit conversions and find that 1 kg = 0.23 bloobits and 1 m = 1.41 bots. Express the density of a raisin (2 103 kg/m3) in Betatron units.
The Scope and Scale of Physics Find the order of magnitude of the following physical quantities. (a) The mass of Earth’s atmosphere: 5.11018kg : (b) The mass of the Moon’s atmosphere: 25,000kg ; (c) The mass of Earth’s hydrosphere: 1.41021kg : (d) The mass of Earth: 5.971024kg : (e) The mass of the Moon: 7.341022kg : (f) The Earth-Moon distance (semimajor axis): 3.84108m : (g) The mean Earth-Sun distance: 1.51011m : (h) The equatorial radius of Earth: 6.38106m : (i) The mass of an electron: 9.111031kg : (j) The mass of a proton: 1.671027kg : (k) The mass of the Sun: 1.991030kg .
An object’s average density ρ is defined as the ratio of its mass to its volume: ρ = M/V. The earth’s mass is 5.94 x 1024 kg, and its volume is 1.08 x 1012 km3. What is the earth’s average density?A. 5.50 x 103 kg/m3 B. 5.50 x 106 kg/m3C. 5.50 x 109 kg/m3 D. 5.50 x 1012 kg/m3
A newly discovered planet X has a mass of 45.0 x 1023 kg and radius 4.82 × 106 m. What is g on this planet's surface, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.
Schwarzschild radius RS of a black hole is the maximum distance from the black hole’s center at which light cannot escape its gravitational field. The quantity RS (with dimensions of length) is dependent on the mass of the black hole M, the speed of light c, and the gravitational constant G. Based on the dimensions of these four parameters, predict an equation for the Schwarzschild radius. Hint: G has dimensions of [L3/MT2]
An object’s average density r is defined as the ratio of its mass to its volume: r = M/V. The earth’s mass is 5.94 * 1024 kg, and its volume is 1.08 * 1012 km3. What is the earth’s average density?A. 5.50 * 103 kg/m3 B. 5.50 * 106 kg/m3 C. 5.50 * 109 kg/m3 D. 5.50 * 1012 kg/m3
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The planet Jupiter has a mass of 1.9 × 1027 kg and a radius of 72,000 km. The Earth, meanwhile, has a mass of 6.0 × 1024 kg and a radius of 6,400 km. What is the volume of Jupiter in m3?
3) The surface area of a ball is measured to be A = 65 cm2. a)Write an equation for the radius of the ball, r, treating it as a sphere, in terms of its surface area. b)The mass is measured to be M = 145 g. Calculate its density ρ in g/cm3. c) What is the density ρkg/m3in kg/m3?
The density of the Earth can be expressed by the equation density = C{1.22 -(r/R)}, where R is the radius of the Earth and C is a constant. Find the expression for C in terms of total mass (M) and the radius (R)..
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1. The earth has a mass of 5.97219 x 1024 kilograms and a radius of 3958.8 mi. If you have a mass of 145.505 Ibs, how strong is the force between you and the moon in MKS units? 2. A distance of 0.002 m separates two objects of equal mass. If the gravitational force between them is 0.0104 N, find the mass of each object. 3. What will be the radial acceleration will a satellite attain if NASA was instructed to deploy a 2000-kg satellite into our orbit 186 mi above the surface of the earth? Use the data given in number 1.