Newton\'s Law of Gravitation relates the mass of two bodies and the distance of

Question

Newton's Law of Gravitation relates the mass of two bodies and the distance of their separation to the gravitational force between them. When this force is exerted between the Earth and another object, we call it the weight of that object. The radius of the Earth is approximately 3960 miles and the mass of the Earth is approximately 1.32 times 10^25 lbm. The "weightless" environment of the International Space Station (ISS) is at an altitude of approximately 250 miles above the Earth. What is the gravitational force exerted by the Earth on a 1 lbm object on the ISS? Newton's Law of Gravitation F = G m_1 m_2 /r^2 where F = force of attraction G = universal constant = 3.44 times 10^-8 ft^4 /lb s^4 m = mass of body r = distance between bodies

Explanation / Answer

given

m1 = 1.32*1025 Ibm

m2 = 1 Ibm

r = 3960+250 = 4210 miles

F = G*m1*m2 / r^2

F = 3.44*10-8 * 1.32*1025 * 1 / (4210)2

F = 2.56*1010 N

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