Based on the law of conservation of energy, which statement is false?
1 answer:
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Answer:
Planet B
Explanation:
The strength of the gravitational field on the surface of a planet is given by the equation:
(1)
where:
G is the gravitational constant
M is the mass of the planet
R is the radius of the planet
In this problem, we have two planets, A and B.
The two planets have same radius, R, while they have different masses, in particular
So, the mass of planet B is twice the mass of planet A.
Looking at the eq.(1), we see that the gravitational field strength is proportional to the mass of the planet: therefore, the larger the mass, the greater the field strength.
So, since planet B has larger mass, then its gravity will be stronger than planet A.