Answer:
See discussion below.
Explanation:
The weight of any body on the planet is the gravitational force of attraction between the planet and the body.
For Earth, Newton's law of gravitation expresses this force as
is the mass of the Earth, is the mass of the body and is the radius of the Earth which is the distance between the body and the Earth if it's on the Earth's surface. is the universal gravitational constant.
The weight of the body on Earth is
Here, is the gravitational acceleration on Earth.
Since both forces are equal,
It is seen that depends only on the mass and radius of the Earth.
From the question, the mass of Jupiter is over 300 times that of the Earth. Let's name it . Hence,
If we denote Jupiter's gravitational acceleration with and it's radius by , then
It would follow that this is 300 times as much that of earth. However, the radius of Jupiter is also much greater than the radius of the Earth. In fact, it is about 11 times greater i.e. .
Hence,
It is thus seen that its gravity is only about 1.5 times that if the Earth. Hence, any object on Jupiter would only weigh 1.5 times as much as it would on Earth.