Newton's Law of Gravitation states that two bodies with masses m1 and m2 attract each other with a force F, where r is the distance between the bodies and G is the gravitational constant. F = G(m_1m_2)/r^2 Use Newton's Law of Gravitation to compute the work W required to propel a 1100 kg satellite out of the earth's gravitational field. You may assume that the earth's mass is 5.98✕1024 kg and is concentrated at its center. Take the radius of the earth to be 6.37✕106 m and G = 6.67✕10-11 Nm2/kg2. (Round your answer to three significant digits.)

Respuesta :

The two bodies are being drawn together by a force of 10812 N, according to Newton's Law of Gravitation.

Every particle in the universe is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their separation from one another, according to Newton's Law of Universal Gravitation.

Symbolically, Newton came to the following conclusion on the strength of the gravitational force:

F = G(m₁ × m₂) / r²

F is the gravitational force between two bodies, m1 and m2 are the bodies' masses, r is the distance between their centres, and G is the gravitational constant of the universe.

According to the query,

satellite's mass is m1 = 1100 kg.

mass of earth = 5.98 ×10²⁴ kg

Radius of the earth = 6.37 × 10⁶ m

G = 6.67 × 10⁻¹¹ Nm² / kg²

Force = G(m₁ × m₂) / r²

Substituting the values,

F = 6.67 × 10⁻¹¹( 1100 × 5.98 ×10²⁴)  /( 6.37 × 10⁶)²

=> F = 6.67 × 1100 × 5.98 × 10¹³ / 40.58 × 10¹²

=> F = 43,875.26 × 10 / 40.58

=> F = 10812 N

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