If an astronaut on the International Space Station accidentally left awrench in space, the wrench would burn up as it re-entered theEarth's atmosphere, long before it hit the Earth. This question is aboutwhat would happen before that.Figure 1BeforeAfterA wrench with a mass of 0.29 kg began at rest at a distance of d1=4.12 x 10° meters from the center of the Earth. The wrench thenbegan falling toward Earth. Sometime later, the wrench was at adistance of d2 = 3.98 x 10° meters from the center of the Earth.Assume that the only significant force acting on the wrench was thegravitational force exerted by the Earth.The mass of the Earth is 5.97 x 1024 kg.Newton's gravitational constant is G = 6.67 x 1011 m³/(kg s²)(thedenominator is kilograms to the first power times seconds squared)Calculate the speed of the wrench in units of meters per second whenit is at a distance d2 from the center of the Earth.

Answered: Image /qna-images/answer/d2e1dab4-2ec5-43e2-a546-3ffe0eb9983c.jpg

Before After dz A wrench with a mass of 0.29 kg began at rest at a distance of d1 = 4.12 x 10° meters from the center of the Earth. The wrench then began falling toward Earth. Sometime later, the wrench was at a distance of d2 = 3.98 x 108 meters from the center of the Earth. Assume that the only significant force acting on the wrench was the gravitational force exerted by the Earth. The mass of the Earth is 5.97 x 1024 kg. Newton's gravitational constant is G = 6.67 x 1011 m³/(kg s²) (the denominator is kilograms to the first power times seconds squared) Calculate the speed of the wrench in units of meters per second when it is at a distance d2 from the center of the Earth.

Before After dz A wrench with a mass of 0.29 kg began at rest at a distance of d1 = 4.12 x 10° meters from the center of the Earth. The wrench then began falling toward Earth. Sometime later, the wrench was at a distance of d2 = 3.98 x 108 meters from the center of the Earth. Assume that the only significant force acting on the wrench was the gravitational force exerted by the Earth. The mass of the Earth is 5.97 x 1024 kg. Newton's gravitational constant is G = 6.67 x 1011 m³/(kg s²) (the denominator is kilograms to the first power times seconds squared) Calculate the speed of the wrench in units of meters per second when it is at a distance d2 from the center of the Earth.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter12: Static Equilibrium And Elasticity

Section: Chapter Questions

Problem 37P: To get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against...

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