Why does a planet with a larger orbit take longer to go around the Sun?

Because it is farther from the Sun

Because it is closer to other planets

Because it is smaller in size

Because it has a stronger gravitational pull

Because it is farther from the Sun.

Below is an image of two objects represented by m1 and m2. The distance between the objects is r. Using the Law of Universal Gravitation what would happen to the force of gravity if the distance (r) between both objects increased

The force of gravity would increase.

The force of gravity would decrease.

The force of gravity would stay the same.

The force of gravity would decrease.

Using the same image in question #24 what are two ways to increase the force of gravity?

Decrease the mass of m1 or increase the distance between the objects (r).

Decrease the mass of m1 or decrease the distance between the objects (r).

Increase the mass of m1 or increase the distance between the objects (r).

Increase the mass of m1 or decrease the distance between the objects (r).

Increase the mass of m1 or increase the distance between the objects (r).

Because it is farther from the Sun.

The time it takes for a planet to complete one orbit around the Sun is determined by its distance from the Sun. According to Kepler's laws of planetary motion, a planet's orbital period (the time it takes to complete one orbit) is directly related to its average distance from the Sun. The farther a planet is from the Sun, the longer it takes to complete one orbit. This is because the gravitational force exerted by the Sun weakens with distance, and the planet must travel a greater distance to complete its orbit. Therefore, a planet with a larger orbit will take longer to go around the Sun.

The correct answer is: Because it is farther from the Sun.

To understand why a planet with a larger orbit takes longer to go around the Sun, we need to consider the relationship between the size of the orbit and the time it takes for a planet to complete one revolution.

According to Kepler's laws of planetary motion, the time it takes for a planet to orbit the Sun is determined by its distance from the Sun. Kepler's third law states that the square of a planet's orbital period is directly proportional to the cube of its average distance from the Sun.

This means that as the distance from the Sun increases, the orbital period (the time it takes for the planet to complete one orbit) also increases. In other words, the farther a planet is from the Sun, the longer it takes to complete one revolution.

To calculate the orbital period of a planet given its average distance from the Sun, you can use Kepler's third law equation:

T^2 = (4π^2 / GM) * r^3

Where:
T = orbital period (in seconds)
G = gravitational constant
M = mass of the Sun
r = average distance between the planet and the Sun

By plugging in the values for a planet's distance from the Sun, you can determine the length of its orbital period.

In summary, a planet with a larger orbit takes longer to go around the Sun because it is farther from the Sun, following Kepler's third law.