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Calculate the force of gravity on a 1–kilogram box located at a point 1.3 × 107 meters from the center of Earth. (The value of G is 6.673 × 10-11 newton meter2/kilogram2. The mass of Earth is 5.98 × 1024 kilograms.)

Sagot :

The force of gravity on a 1–kilogram box located at a point from the center of Earth is 2.36 N

What is gravity?

The force of attraction felt by a person at the center of a planet or Earth is called as the gravity.

Given, a 1 kg box located at a point 1.3 × 10⁷ m from the center of Earth. The Earth has the acceleration due to gravity, g =  9.81 m/s².

Force of gravity F = GMm/R²

where G = gravitational constant = 6.67 x 10⁻¹¹ N.m²/kg² and R is the distance between two masses.

The Mass of Earth M= 5.98 × 10²⁴ kg

Substituting the values, we get

F =  (6.67 x 10⁻¹¹ N.m²/kg² x 1kg x  5.98 × 10²⁴ kg)/ ( 1.3 × 10⁷ m)²

F = 2.36 N

Therefore,  the force of gravity on a 1–kilogram box located at a point from the center of Earth is 2.36 N

Learn more about gravity.

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