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The Weight of the Space Station The International Space Station operates at an altitude of 350 km. Plans for the final construction show that material of weight 4,22 x 10 N, measured at the Earth's surface, will have been lifted off the surface by various spacecraft during the construction process. What is the weight of the space station when in orbit? SOLUTION Conceptualize The mass of the space station is fixed; it is independent of its location. Based on the discussion in this section, we realize that the value of g will be Select Vat the height of the space station's orbit. Therefore, the weight of the space station will be SelectV than that at the surface of the Earth. Categorize We model the space station as a particle in a gravitational Salect Analyze From the particle in a field model, find the mass of the space station (in kg) from its weight at the surface of the Earth: kg Use the equation for the free-fal acceleration with h- 350 km to find the magnitude of the gravitational field (in m/s) at the orbital location: GM. m/s? Use the particle in a field model again to find the space station's weight in orbit (in N): ,- mg - ON Finalize Notice that the weight of the Space Station is less when it is in orbit, as we expected. It has about 10% less weight than it has when on the Earth's surface, representing a 10%Select Vin the magnitude of the gravitational field. EXERCISE A planet has a gravitational acceleration on its surface of 0.9 times Earth's gravitational acceleration on its surface. The planet's radius is four times Earth's radius. What is the mass of the planet, in terms of Earth masses, M.? Hint Need Help? Read it

The Weight of the Space Station The International Space Station operates at an altitude of 350 km. Plans for the final construction show that material of weight 4,22 x 10 N, measured at the Earth's surface, will have been lifted off the surface by various spacecraft during the construction process. What is the weight of the space station when in orbit? SOLUTION Conceptualize The mass of the space station is fixed; it is independent of its location. Based on the discussion in this section, we realize that the value of g will be Select Vat the height of the space station's orbit. Therefore, the weight of the space station will be SelectV than that at the surface of the Earth. Categorize We model the space station as a particle in a gravitational Salect Analyze From the particle in a field model, find the mass of the space station (in kg) from its weight at the surface of the Earth: kg Use the equation for the free-fal acceleration with h- 350 km to find the magnitude of the gravitational field (in m/s) at the orbital location: GM. m/s? Use the particle in a field model again to find the space station's weight in orbit (in N): ,- mg - ON Finalize Notice that the weight of the Space Station is less when it is in orbit, as we expected. It has about 10% less weight than it has when on the Earth's surface, representing a 10%Select Vin the magnitude of the gravitational field. EXERCISE A planet has a gravitational acceleration on its surface of 0.9 times Earth's gravitational acceleration on its surface. The planet's radius is four times Earth's radius. What is the mass of the planet, in terms of Earth masses, M.? Hint Need Help? Read it

College Physics
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)...
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The Weight of the Space Station The International Space Station operates at an altitude of 350 km. Plans for the final construction show that material of weight 4.22 x 10° N, measured at the Earth's surface, will have been lifted off the surface by various spacecraft during the construction process. What is the weight of the space station when in orbit? SOLUTION Conceptualize The mass of the space station is fixed; it is independent of its location. Based on the discussion in this section, we realize that the value of g will be -Select-V at the height of the space station's orbit. Therefore, the weight of the space station will be Select--V than that at the surface of the Earth. Categorize We model the space station as a particle in a gravitational -Select- . Analyze From the particle in a field model, find the mass of the space station (in ko) from its weight at the surface of the Earth: Use the equation for the free-fall acceleration with h- 350 km to find the magnitude of the oravitational field (in m/s at the orbital location: m/s Use the particle in a field model again to find the space station's weight in orbit (in N): ,- mg - Finalize Notice that the weight of the Space Station is less when it is in orbit, as we expected. It has about 10% less weight than it has when on the Earth's surface, representing a 10% -Select Vin the magnitude of the gravitational field. EXERCISE A planet has a gravitational acceleration on its surface of 0.9 times Earth's gravitational acceleration on its surface. The planet's radius is four times Earth's radius. What is the mass of the olanet, in terms of Earth masses, M.? Need Help? Raad it
Transcribed Image Text:The Weight of the Space Station The International Space Station operates at an altitude of 350 km. Plans for the final construction show that material of weight 4.22 x 10° N, measured at the Earth's surface, will have been lifted off the surface by various spacecraft during the construction process. What is the weight of the space station when in orbit? SOLUTION Conceptualize The mass of the space station is fixed; it is independent of its location. Based on the discussion in this section, we realize that the value of g will be -Select-V at the height of the space station's orbit. Therefore, the weight of the space station will be Select--V than that at the surface of the Earth. Categorize We model the space station as a particle in a gravitational -Select- . Analyze From the particle in a field model, find the mass of the space station (in ko) from its weight at the surface of the Earth: Use the equation for the free-fall acceleration with h- 350 km to find the magnitude of the oravitational field (in m/s at the orbital location: m/s Use the particle in a field model again to find the space station's weight in orbit (in N): ,- mg - Finalize Notice that the weight of the Space Station is less when it is in orbit, as we expected. It has about 10% less weight than it has when on the Earth's surface, representing a 10% -Select Vin the magnitude of the gravitational field. EXERCISE A planet has a gravitational acceleration on its surface of 0.9 times Earth's gravitational acceleration on its surface. The planet's radius is four times Earth's radius. What is the mass of the olanet, in terms of Earth masses, M.? Need Help? Raad it
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