It was found out that on a certain exo planet in Andromeda galaxy, the gravitational acceleration is 19.6 m/s2, and it varies as a function of elevation above the surface given by the expression g=c−bz−az2,wherec= 19.6 m/s2,b= 5.0×10−5s−2, and a= 1.0×10−2m−1s−2.Determine the height above the exo planet’s ground level where the weight of an object will decrease by 1.2 percent

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter14: Special Theory Of Relativity
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Problem 14.39P
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It was found out that on a certain exo planet in Andromeda galaxy, the gravitational acceleration is 19.6 m/s2, and it varies as a function of elevation above the surface given by the expression g=c−bz−az2,wherec= 19.6 m/s2,b= 5.0×10−5s−2, and a= 1.0×10−2m−1s−2.Determine the height above the exo planet’s ground level where the weight of an object will decrease by 1.2 percent
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