The three branches of science earth and physicals

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<span>Science is always defined as the body of knowledge and linked to something related to the physical world, phenomena and lives of everything that exist on Earth. Science is categorized in various ways. Pure, practical or theoretical, is the largest distinction of science or whether science is applied. Generally, pure science is subdivided into Physical sciences, Earth sciences, and Life sciences. Physical sciences deal with energy and matter, Earth sciences explain Earth’s phenomena, to the solar system where it belongs and its atmosphere. And finally, life sciences describe internal processes of living organisms, its relationship to each other and to its environment.</span>

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An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 481 km from the center of asteroid

mariarad [96]

Explanation:

It is given that, An astronaut is in equilibrium when he is positioned 140 km from the center of asteroid X and 481 km from the center of asteroid Y, along the straight line joining the centers of the asteroids. We need to find the ratio of their masses.

As they are in equilibrium, the force of gravity due to each other is same. So,

$\dfrac{Gm_xM}{r^2}=\dfrac{Gm_yM}{r^2}\\\\\dfrac{m_x}{r_x^2}=\dfrac{m_y}{r_y^2}\\\\\dfrac{m_x}{r_x^2}=\dfrac{m_y}{r_y^2}\\\\\dfrac{m_x}{m_y}=(\dfrac{r_x^2}{r_y^2})\\\\\dfrac{m_x}{m_y}=(\dfrac{140^2}{481^2})\\\\\dfrac{m_x}{m_y}=0.0847$