QuestionDecember 23, 2025

Besed on Newton's law of universal gravitation, what would happen to Earth's tides if the Moon was replaced with planet twice the mass of the Moon at the same distance? Tides would disappear Tides would become twice as high Tides would remain the same Tides would occur four times per day instead of two

Besed on Newton's law of universal gravitation, what would happen to Earth's tides if the Moon was replaced with planet twice the mass of the Moon at the same distance? Tides would disappear Tides would become twice as high Tides would remain the same Tides would occur four times per day instead of two
Besed on Newton's law of universal gravitation, what would happen to Earth's
tides if the Moon was replaced with planet twice the mass of the Moon at the
same distance?
Tides would disappear
Tides would become twice as high
Tides would remain the same
Tides would occur four times per day instead of two

Solution
4.1(225 votes)

Answer

Tides would become twice as high Explanation 1. Identify the tidal force dependence Tidal force is proportional to the mass of the attracting body: F_{\text{tidal}} \propto M. 2. Apply the change in mass If the Moon's mass doubles, tidal force also doubles. 3. Relate tidal force to tide height Higher tidal force means higher tides.

Explanation

1. Identify the tidal force dependence<br /> Tidal force is proportional to the mass of the attracting body: $F_{\text{tidal}} \propto M$.<br />2. Apply the change in mass<br /> If the Moon's mass doubles, tidal force also doubles.<br />3. Relate tidal force to tide height<br /> Higher tidal force means higher tides.
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