2.13 FG=G* m1*m2 /r^2 7. The radius of the earth is 6.38 x 106 m and its mass is

Question

2.13 FG=G* m1*m2 /r^2 7. The radius of the earth is 6.38 x 106 m and its mass is 6.0x 10M kg. a. Find the weight of an object whose mass is 10 kg from first principles, using Newton's Law of Gravity, Eqn 2.13 in Salu. Show explicitly how the units work out. b. Find the weight of the object using Eqn 2.10 in Salu. Does it agree with part a? .Show the treatment in part b was implicit in your calculation in part a. Calculate your own value for the gravitational acceleration of the earth g.Check your units

Explanation / Answer

(a) Weight = Fg = G M m / r^2

= (6.67 x 10^-11)(6 x 10^24)(10) / (6.38 x 10^6)^2

= 98.3 N

(B) W = m g = (10)(9.8) = 98 N  

(C) a = G M / R^2 = (6.67 x 10^-11)(6 x 10^24) / (6.38 x 10^6)^2

a = 9.83 m/s^2  

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