Does your weight depend on where you are located on the Earth's surface? Yes! Your apparent weight on a scale standing at theequator will be less than your apparent weight while standing on a scale at the North Pole (see figure). This difference occurs due tothe Earth's rotation. How much extra mass would a 65.0-kg person have to hold while weighing himself at the equator, so that hisapparent weight there is equal to his apparent weight at the North Pole?NumberWeight ismaximumat polesNorth PoleEquatorCenter ofearthForce ofgravityWeight isminimum atthe Equator.Source: Md. Khaja Shareef, Measure the Mass of the Earth, Science Inspiration.http://scienceinspiration.blogspot.com/2012/05/measure-mass-of-earth.html?Units

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Answered: Does your weight depend on where you…

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter7: Gravitation

Section: Chapter Questions

Problem 74A

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The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward. When she is in the space station in orbit around the Earth, is the gravitational force on her (a) larger, (b) exactly the same, (c) smaller, (d) nearly but not exactly zero, or (e) exactly zero?
Suppose astronomers find an earthlike planet that is twice the size of Earth (that is, its radius is twice that of Earth’s). What must be the mass of this planet such that the gravitational force (Fgravity) at the surface would be identical to Earth’s?
Suppose an alien civilization has a space station in circular orbit around its home planet. The stations orbital radius is twice the planets radius, (a) If an alien astronaut has weight w just before launch from the surface, will she be weightless when she reaches the station and floats inside of it? (b) If not, what will be the ratio of her weight in orbit to her weight on the planets surface?
A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.
Calculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?
A woman whose mass is 70 kg on Earth's surface is in a spacecraft at a height of twice Earth's radius (that is, 3 Earth radii) above Earth's surface. What is her mass (not weight) there? BIU S S.
You know that the increasing speed due to gravity on the surface of the earth is 9.8 m/sec2, which the length of a incredible circle around the earth is 4 x lo7 m. You're given that the proportions of moon/earth distances across and masses are Dm Mm = 0.27 and = 0.0123 De Me respectively. (a) Compute the least speed required to elude from the moon's gravitational field when beginning from its surface. (b) Compare this speed with warm speeds of oxygen atoms at the moon's temperature which comes to 100°C. 59
Newton's Law of Gravitation can be used to show that if an object weighs w pounds on the surface of the earth, then its weight at a distance x from the center of the earth is W(x) : wR? (for x > R), where R = 3960 miles is the radius of the earth. Estimate the weight loss per mile of altitude gained for a 205-lb pilot at an altitude of h. (Use decimal notation. Give your answer to five decimal places.)
Mis a spherical mass (33.4 kg) at the origin. M₂ is also a spherical mass (18.7 kg) and is located on the x-axis at x = 57.0 m. At what value of x would a third mass with a 16.0 kg mass experience no net gravitational force due to M₁ and M₂? Submit Answer Tries 0/20
Suppose that Earth rotated much faster on its axis-so fast that people were almost weightless when at Earth's surface. How long would the length of a day be on this new Earth? Assume that rErE = 6.37×1066.37×106 mm is the radius of Earth.
A space shuttle is in a circular orbit at an altitude of 256 mi. Calculate the absolute value of g at this altitude and determine the corresponding weight of a shuttle passenger who weighs 156 lb when standing on the surface of the earth at a latitude of 45%. Are the terms "zero-g" and "weightless," which are sometimes used to describe conditions aboard orbiting spacecraft, correct in the absolute sense? Answers: 8h= Wh i ft/sec² lb
1) The mass of Venus is 81.5% that of the earth, and its radius is 94.9% that of the earth. a) Compute the acceleration due to gravity on the surface of Venus from these data. b) If a rock weighs 75.0 N on earth, what would it weigh at the surface of Venus? Astronomical Datat Вody Mass (kg) Radius (m) Orbit radius (m) Orbital period 1.99 x 10 7.35 x 1022 3.30 X 10 4.87 x 104 5.97 x 1024 6.42 x 1023 1.90 X 107 5.68 X 106 8.68 X 103 1.02 x 10% 1.31 X 102 6.96 x 10 1.74 X 10 244 X 10 6.05 x 10 6.37 X 10 3.39 X 106 6.99 X 107 5.82 x 10 2.54 X 10 2.46 X 10 1.15 X 10 Sun 3.84 X 10 5.79 x 1010 1.08 x 101 1.50 x 10" 2.28 X 101 7.78 X 10" 143 X 1012 2.87 X 1012 4.50 X 1012 5.91 x 1012 Моon 27.3 d 88.0 d 224.7 d 365.3 d 687.0 d 11.86 y 29.45 y 84.02 y 164.8 y 247.9 y "Source: NASA (http://solarsystem.nasa.govplanets/). For each body, "radius" is its average radius and "orbit radius" is Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Plutot its average distance from the sun or (for the…

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