The International Space Station has a mass of 4.19 x 10° kg and orbits at a radius of 6.79 x 10° m from the center of Earth. Find the gravitational force exertedby Earth on the space station, the space station's gravitational potential energy, and the weight of a 71.7 kg astronaut living inside the station.HINT(a) the gravitational force (in N) exertedEarth on the space station (Enter the magnitude.)(b) the space station's gravitational potential energy (in J)(c) the weight (in N) of an 71.7 kg astronaut living inside the stationNeed Help?Watch ItRead It

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Answered: The International Space Station has a…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter7: Gravity

Section: Chapter Questions

Problem 38PQ

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Similar questions

A point mass m is located a distance D from the nearest end of a thin rod of mass M and length L along the axis of the rod. Find the gravitational force exerted on the point mass by the rod.
Estimate the gravitational force between two sumo wrestlers, with masses 220 kg and 240 kg, when they are embraced and their centers are 1.2 m apart.
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 geosynchronous Earth satellite is one that has an orbital period of precisely 1 day. Such orbits are sueful for communication and weather observation because the satellite remains above the same point on Earth (provided it orbits in the equatorial plane in the same direction as Earth’s rotation). Calculate the radius of such an orbit based on the data for Earth in Appendis D.
What is the orbital radius of an Earth satellite having a period of 1.00 h? (b) What is unreasonable about this result?
If a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.
The Sun has a mass of approximately 1.99 1030 kg. a. Given that the Earth is on average about 1.50 1011 m from the Sun, what is the magnitude of the Suns gravitational field at this distance? b. Sketch the magnitude of the gravitational field due to the Sun as a function of distance from the Sun. Indicate the Earths position on your graph. Assume the radius of the Sun is 7.00 108 m and begin the graph there. c. Given that the mass of the Earth is 5.97 1024 kg, what is the magnitude of the gravitational force on the Earth due to the Sun?
Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2
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Assuming that the Earth has a uniform density, ρ=5540.0⁢ kg/m3, what is the value of the gravitational acceleration gd at a distance d=4900.0 km from the Earth's center?
A satellite is in a circular low Earth orbit at an altitude of 356 km above the equator's surface. For Earth's radius at the equator, use RE, eq = 6.38 ✕ 106 m. Assuming only the force of Earth's gravity acts on the satellite, determine the smallest required change in the satellite's speed if it is to escape Earth's gravity and never return.
The position of four point masses m1=4 kg, M2=2 kg, m3=12 kg,and Mr=4 kg are given by (1,0),(0,2),(1,-1) and (1,3) ,arerespectively. In unit vector notation find the net gravitational force on . Calculate the total potential energy of the system.

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