The weight of the astronaut on the planet will be the same as on the Earth.
<h3>Further explanation</h3>
Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:
<em>F = Gravitational Force ( Newton )</em>
<em>G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )</em>
<em>m = Object's Mass ( kg )</em>
<em>R = Distance Between Objects ( m )</em>
Let us now tackle the problem !
<u>Given:</u>
mass of Earth = M₁ = M
mass of Planet = M₂ = 4M
radius of Earth = R₁ = R
radius of Planet = R₂ = 2R
<u>Asked:</u>
weight of the astronaut on planet = w₂ = ?
<u>Solution:</u>
<em>We will compare the weight of the astronaut on planet and earth as follows:</em>
<em>From information above, we could conclude that the weight of the astronaut on the planet will be </em><em>the same</em><em> as on the Earth.</em>
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Physics
Chapter: Gravitational Fields