Suppose we want to calculate the total mass of two objects. Themass of object 1 is x and is estimated to be 79 + 1g while themass of Object 2 is y and estimated to be 65 + 2g. How shouldthe total mass, z =x+y be reported?Answer: The total mass of the object is approximately 79g+65g= 144g. But the total mass can be as high as 80 g + 67 g= 147g or as low as 78 g + 63 g = 141 g. The total mass shouldtherefore be reported as 144 + 3g.Study it carefully because the process is the same with the massdifference. Why don’t you try it on your own?From the example problem above, how should the difference inmass, z = x- y, be reported? (Note that the symbol z now denotesthe difference instead of the sum of two measurements).

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Answered: Suppose we want to calculate the total…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 5OQ

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Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8 ✕ 1011 solar masses. A star orbiting near the galaxy's periphery is 5.8 ✕ 104 light years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 7.0 ✕ 107 y instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of "dark matter" in the universe and have indicated, for example, the existence of very massive black holes at the centers of some galaxies. solar masses
The distance between two stars of masses 3M² and 6M, is 9R. Here R is the mean distance between the centers of the Earth and the Sun, and Mã is the mass of the Sun. The two stars orbit around their common center of mass in circular orbits with period nT, where T is the period of Earth's revolution around the Sun. The value of n is
The rings of the planet Saturn consist of particles of rock and ice which orbit the = 5.7 × 104ºkg. Suppose a particle has a planet. The mass of Saturn is MSat mass 2,806 kg, and is orbiting at a distance of 2,442 km from the surface of Saturn. The radius of Saturn is ľsat G = 6.67 × 10-1'm². kg¬1.s-2 60, 300 km and Calculate the magnitude of the gravitational attract between the particle and Saturn to 2 sf. Your Answer: Answer
Let's say we have a M1 and M2. Let's just say. Let's examine this hypothetical situation. The first mass would be 1.50 kg and the second mass would be 2.00 kg. These two masses would then be separated by a length or we should say a distance of this L = 2.50 m. Let's say we want to place a third mass (immaterial mass) in the middle of the two masses, such that there would be no net force. Find this specific place where this would occur, and to make it easy, find the distance from the first mass towards this third mass
A student wants to calculate the value of Newton's constant G using the following relation: GM g= R where g is the acceleration due to gravity near the surface of the Earth, M is the mass of the Earth and R is the radius of the Earth. She has the following values and uncertainties : g±Ag= (9.8±0.2)m/s², M ± AM = (6.0000 ±0.0004) × 1024 kg, R±AR=(6380 ± 20)km Which option below correctly expresses the resulting value of G and its uncertainty AG? Select one: 3 G+AG = (6.67±0.02) × 10-11 m² kg-s? G±AG= (6.7±0.2) × 10-11 _m² kg-s² 3 G±AG = (6.67±0.2) × 10-10 m² kg-s 2 G±AG = (6.7±0.02) × 10" kg-s²
Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 x 1011 solar masses. A star orbiting near the galaxy's periphery is 5.6 x 104 light-years from its center. (a) What should the orbital period (in y) of that star be? y (b) If its period is 5.3 x 107 years instead, what is the mass (in solar masses) of the galaxy? Such calculations are used to imply the existence of other matter, such as a very massive black hole at the center of the Milky Way. solar masses
One type of engine used in space travel is an ion thruster. These engines produce a low force that results in small acceleration changes. If an ion-thrust engine is used to apply 87 millinewtons [mN] of force on a satellite with a mass of 1.7 megagrams [Mg], what is the acceleration produced in units of meters per second squared [m/s2]?
Earth has a mass of 5.98*1024 kg.The average mass of the atoms that make up Earth is 40 u. How many atoms are there in Earth?
we added a 30 mg (that's 30 x 10-6 kg) mass to the upper wire and the laser spot on the scale dropped down from 24.2 cm at equilibrium to 22.9 cm with the mass on it. That change on the scale of 1.3 cm represents the effect of the gravitational force due to the weight of 30 mg. This calibrates the response of the balance to forces. What is the scale factor "b" such that FB = b y where FB is in micro-newtons (10-6 N) and y is the spot deflection on the scale in centimeters? Pick the answer closest to what you calculate using the scale readings 24.2 (equilibrium) and 22.9 (30 mg). 23.1 226 0.209 0.000226
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun. (b) Is the ratio an upper limit estimate or a lower limit estimate?
The radius Rh of a black hole is the radius of a mathematical sphere, called the event horizon, that is centered on the black hole. Information from events inside the event horizon cannot reach the outside world. According to Einstein's general theory of relativity, Rh = 2GM/c2, where M is the mass of the black hole and c is the speed of light. Suppose that you wish to study a black hole near it, at a radial distance of 48Rh. However, you do not want the difference in gravitational acceleration between your feet and your head to exceed 10 m/s2 when you are feet down (or head down) toward the black hole. (a) Take your height to be 1.5 m. What is the limit to the mass of the black hole you can tolerate at the given radial distance? Give the ratio of this mass to the mass MS of our Sun.
One way than an oil company may discover new oil fields is by flying a balloon close to the ground and measuring g very precisely. Since the density of oil is less than the density of rock, the value of g will decrease. Assume that there is a spherical oil field of radius r = just below the surface. The density of oil is poil surrounding rock is prock = 5.5 × 10³ kg/m³. The mass of the Earth is M = 6 × 1024 kg and the radius of the Earth is R = 6.4 × 106 m. By what fraction will the value of g decrease when the balloon is just above the center of the oil field? (Hint: use A+B=C) 10° m, 0.8 × 103 kg/m3 and the density of the 3

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