QUESTION IMAGE
Question
evaluate which model correctly shows the positions of the sun, earth, and the moon that result in the smallest gravitational force acting on earth’s oceans? fsas sc.8.e.5.9, sc.8.n.1.1
Step1: Recall gravitational - force principle
The gravitational force between two objects is given by $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between them. The combined gravitational force on Earth's oceans due to the Sun and the Moon is smallest when the Sun - Earth - Moon angle is $90^{\circ}$.
Step2: Analyze the models
In model A, the Moon is between the Earth and the Sun. In model B, the Sun - Earth - Moon form a right - angle. When the Sun and the Moon pull on Earth's oceans at right - angles to each other, their gravitational effects partially cancel out, resulting in the smallest combined gravitational force on the oceans.
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B. Option Text