If the man weighs 100n on earth, then his weight on a planet whose mass is doubled that
of earth but diameter is half that of earth is ……….newtons.
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The equation to use is F = G(m1)(m2)/r^2, where F is the force felt (100N), and G is the gravitational constant, m1 is the mass of the planet, m2 is the mass of the body, and r is the distance to the planet’s surface.
On Earth:
100 = G(m1)(m2)/r^2; G and m2 are going to stay the same in both equations, so:
100 = m1/r^2 is the parts that change.
On the new planet:
Force = 4m1/(2r)^2 = 4m1/4r^2 = m1/r^2.
So… it would weigh 100N on Earth..
Explanation:
hope it helps u..
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