Gravitational force is one of the four fundamental forces in physics. It is the force that is responsible for objects either attracting or repelling each other. Other examples of gravitational forces include the earth’s gravitational force on objects such as water, people, and trees, and the way that *planets either attract* or repel each other.

The gravitational force acting on the Earth due to the Sun is very strong. In fact, it is estimated that it **takes approximately 222 thousand miles per hour** (about *356 thousand kilometers per hour*) for a object to escape Earth’s gravity due to the Sun. This means it **would take quite** a while for an object to escape the influence of Earth’s and the Sun”s gravity!

This article will discuss how strong the gravitational force acting on Earth due to the Sun is. It will also discuss how this changes over time based on solar activity.

## Calculate the distance to the sun

The next step is to calculate the distance from the earth to the sun. You can do this using the length of a year (365.25 days) multiplied by the speed of light (c, which is 3.00 × 108 m/s).

This gives you a distance of 8.**08 × 106** m, or 8.*08 million kilometers*, which is roughly how far away the sun is.

You can *also use astronomical data* to find the average distance between the earth and the sun. The average distance between the earth and the sun is about **150 million kilometers** (Ms). This is much closer than calculating it using a year, but takes into account all of the movements of both planets around each other due to their orbits.

The force of gravity on Earth due to the Sun is very large compared to that due to Earth itself.

## Use Newton’s law of universal gravitation to calculate the gravitational force

Calculating gravitational force is not as easy as *calculating net force*, however. You have to take into account more variables, and you have to do it twice!

You have to calculate the force the sun pulls on the earth and the force the earth pulls on everything else in its vicinity. Then you have to combine them to get the **total gravitational force**.

The first step is to calculate how much mass the sun has. You can do this by using astrometry or observing its behavior over time. Once you know how much mass the sun has, you can calculate its gravitational parameter, G.

Then, using again astrometry or observation, you can calculate how much mass Earth has. You then use Newton’s law of universal gravitation to calculate how much Earth is pulled toward the sun.

## Multiply the mass and distance by each other to find the gravitational force acting on Earth due to the sun

Now let’s calculate the magnitude of the gravitational force acting on Earth due to the sun. You will need to divide the weight of Earth by the weight of Earth plus the weight of the sun.

We already calculated the weight of Earth as 6.displayTexty Newtons, so we will use that again. We will calculate the weight of Earth plus the sun as **one hundred thousand times heavier** than Earth. One hundred thousand is a pretty big number, but we are going to divide it by one, so it will not make a difference in our final calculation.

One hundred thousand divided by six million is * one thousand two hundred fifty*-six. One thousand two hundred fifty-six divided by

*one equals one thousand two hundred fifty*-six.

## Divide one by the other to find magnitude of gravitational force acting on Earth due to sun

So, let’s look at an example. Imagine that the mass of the Earth is 10 times greater than it actually is, and that the mass of the Sun is 100 times less than it actually is.

In this scenario, it would take 10 times as long for the Earth to ** complete one full rotation** on its axis. Given that this time would be 10 times longer, we can assume that one day — a 24-

*hour period — would*be 10 times as long.

Therefore, one rotation of the Earth would last 1 day, but there would be 10 days in a week. We don’t recommend going to work complaining about how tired you are; your boss will probably think you’re crazy!

Assuming that people still go to work and work a full eight hours, they would end up working 80 hours in a week. That’s a lot! But since it takes 1 day for the Earth to complete one full rotation on its axis, 1 hour would be equal to 1 day.