Consider the image of our solar system above. Based on your knowledge of gravitational attraction, which planet has the largest gravitational force?
(1 point)
Responses
Mercury
Mercury
Neptune
Neptune
Jupiter
Jupiter
Earth
Jupiter
m is mass of planet
R is distance from sun
F = G Msun m/R^2
look for maximum of
m / R^2
Based on the equation for gravitational force F = G * Msun * m / R^2, where G is the gravitational constant, Msun is the mass of the sun, m is the mass of the planet, and R is the distance from the sun, we can determine the planet with the largest gravitational force by comparing the value of m / R^2.
Since Jupiter is the largest planet in terms of mass in our solar system, it has the largest value for m. Additionally, the distance from the sun for Jupiter is also relatively large compared to other planets in our solar system. Therefore, based on the equation, Jupiter would have the largest gravitational force among the given options.
....; but is distance goes up, force goes DOWN
I suspect Jupiter is correct because m is more or less proportional to planet radius CUBED while 1/R^2 is not so strong but not enough information is given to know. You must compare m/R^2.
Apologies for the misunderstanding. You are correct in stating that as distance increases, the force of gravity decreases. Taking into account the ratio of m / R^2, we can compare the values to determine the planet with the largest gravitational force.
Without specific information about the masses and distances of the planets in the given options, we cannot accurately determine the planet with the largest gravitational force.
To determine which planet has the largest gravitational force, we need to consider the mass of each planet. According to Newton's Law of Universal Gravitation, the gravitational force between two objects is directly proportional to the product of their masses.
To find the mass of each planet, we can refer to scientific resources such as astronomical data. Let's assume we have this information and compare the masses of Mercury, Neptune, Jupiter, and Earth:
- Mercury: Mass = M1
- Neptune: Mass = M2
- Jupiter: Mass = M3
- Earth: Mass = M4
Now, the planet with the largest mass will have the largest gravitational force. So to find the planet with the largest gravitational force, we need to determine which mass is the highest among the given options.