Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100 kg. You are orbiting at a radial distance of 10,000 km (10 km, or 10' m) from the center of the Earth (Radius of Earth is 6400 km (6.4 x 10° km, or 6.4 x 10 m), so you are 3600 km above the surface). It takes you two hours and 45 minutes to complete each orbit. 7. What is the acceleration of gravity at your location (in m/s)? (Hint: "G*M" for Earth = 4 x 1014)

Imagine you are an astronaut in a circular orbit around the Earth. Let's say you have a mass of 100 kg. You are orbiting at a radial distance of 10,000 km (10 km, or 10' m) from the center of the Earth (Radius of Earth is 6400 km (6.4 x 10° km, or 6.4 x 10 m), so you are 3600 km above the surface). It takes you two hours and 45 minutes to complete each orbit. 7. What is the acceleration of gravity at your location (in m/s)? (Hint: "G*M" for Earth = 4 x 1014)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A landing craft with mass M is in a circular orbit a distance d above the surface of a planet. The period ofthe orbit is T. The astronauts in the landing craft measure the diameter of the planet to be D. The landing craft sets down at the north pole of the planet. a)What is the weight of a person of mass m as they step out onto the plant’s surface? b)Suppose days on this planet last t seconds (i.e. the planet rotates about its axis once every t seconds).Write an expression for the astronaut’s perceived weight at the equator in terms of their weight at the north pole. (Hint: think about centripetal force)
The gas-giant planet Rom (mass 5.7⨯1026 kg) goes around the star Galla (mass 2.0⨯1030 kg) in a circular orbit. If the orbital radius of Rom is 2.5×1011 m … Note: G = 6.67⨯10-11 N·m2/kg2 i) What is the gravitational force of Rom on Galla?
(a) Based on the observations, determine the total mass M of the planet. (b) Which moon and planet of our solar system is the team observing? (Use literature.)
The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 14.137 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G=6.674 x 10 -11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.
A spacecraft is in a circular orbit around the planet kerbin at an altitude of 100 km. the radium of kerbin is 600km and the planet has a mass of M = 5.29*10^22kg. The universal gravitational constant is G = 6.67*10^-11 Write parametric equations for the position, velocity and acceleration vectors of the spacecraft in its orbital plane.
On the Earths surface, the gravitational field strength is about 9.8 m/s2 . Now considering a different planet with a mass of 7.4 x 1023 kg with a gravitational field strength at its surface of 5.3 m/s2 . What is the diameter of this planet?
Suppose you conduct an experiment and determine that g = 9.74 m/s² . If you assume that g = 9.81 m/s? at the surface of the earth, how far from the surface are you? Give your answer in units of Re, the radius of the Earth. (Re = 6378 km)
A satellite is orbiting the earth in low orbit (160 km above the surface of the earth). If the universal gravitational constant is 6.67 x 10^-11 m^3/kg x s^2 the mass of the earth is 5.972 x 10^24 kg and the radius of the earth is 6371 km, what speed must the satellite travel in order to maintain the low earth orbit?
The International Space Station (ISS) is a space station orbiting the earth above the ground. If the radius of the earth is 3,958.8 miles, mass of earth is 5.972 x 10 24 kg, the period of the ISS at the orbit around the earth is 7.89 hours, can you calculate what is the distance from the ISS to the surface of the earth, in unit of miles? Use G-6.674 x 10-11 Nm2/kg2. Write your answer in pure numbers, for example, 4567.8. Please keep at least on digit after the decimal point.
You have a mass of 70kg and are standing 6 meters away from a tractor-trailer. You feel a gravitational force of 7.85N. What is the mass of the tractor-trailer?
A 33 kg mass is separated from a 19 kg mass by 5 meters. What is the magnitude of the gravitational force in Newtons on the 33 kg mass?