The weight of an object is 180 N at a distance of 150 km above a planet's center. What is the weight of the object when it moves 450 km above the center of the planet?

Respuesta :

By using Newton law of gravitation, the weight of the object when it moves 450 km above the center of the planet is 20N

Given that the weight of an object is 180 N at a distance of 150 km above a planet's center.

F = GMm/[tex]r^{2}[/tex]

F = mg = 180N

r = 150

When it moves 450 km above the center of the planet, G, M and m will be constant. only r will vary.

180 = GMm/[tex]150^{2}[/tex]

Make GMm the subject of the formula

GMm = 180 x 22500

GMm = 4050000

As it moves 450 km above the center of the planet, Its weight will be

F = GMm/[tex]r^{2}[/tex]

Substitute all the values and parameters

F = 4050000/[tex]450^{2}[/tex]

F = 20 N

Therefore, the weight of the object When it moves 450 km above the center of the planet is 20 Newtons

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