# Calculate the acceleration due to gravity

• bnd_20191
In summary, the conversation discusses the need to calculate the acceleration due to gravity. The group conducted a test by dropping a ball from a certain height and recording its fall. The average time it took for the ball to fall was determined to be 0.844 seconds. The formula used for this calculation is the displacement formula. The questioner also asks for clarification on the units and expected error in the measurements, as well as the source of these errors. There is also a mention of rewriting a formula, but it is not clear what formula is being referred to and why it needs to be rewritten. The person seeking help is looking for clarification and guidance on calculating the acceleration due to gravity.
bnd_20191

## Homework Statement

We need to calculate value for the acceleration due to gravity. We did a test were we dropped a ball from x height and recorded it.

Ball 1
0.65
0.82
0.95
0.79
0.81
0.9
0.91
0.85
0.76
Avg - 0.844

## Homework Equations

Displacement formula

## The Attempt at a Solution

I've attempted to change the formula and rewrite it, but I'm not quite sure.

Welcome to the PF.

What do those numbers represent? What are the units? What is the expected error in your measurements (and what are the known sources of those errors)?

bnd_20191 said:
dropped a ball from x height and recorded it.
All the same height or different heights? What did you record? How did you calculate these numbers from your recordings?
You appear to have arrived at an estimate for g, but in your "attempt at solution" you refer to rewriting a formula. What formula and why are you rewriting it? Is this something you are asked to do?
What exactly are you seeking help on?

## What is the formula for calculating the acceleration due to gravity?

The formula for calculating the acceleration due to gravity is g = G*M/R^2, where g is the acceleration due to gravity, G is the gravitational constant, M is the mass of the larger object, and R is the distance between the two objects.

## What is the value of the acceleration due to gravity on Earth?

The value of the acceleration due to gravity on Earth is 9.8 meters per second squared (m/s^2). This value can vary slightly depending on location and altitude.

## How does the mass of an object affect the acceleration due to gravity?

The mass of an object does not affect the acceleration due to gravity. This means that regardless of the mass of an object, it will accelerate at the same rate due to gravity.

## Does the acceleration due to gravity change with altitude?

Yes, the acceleration due to gravity does change with altitude. As you move further away from the Earth's surface, the acceleration due to gravity decreases.

## How does the acceleration due to gravity differ on other planets?

The acceleration due to gravity differs on other planets based on their mass and size. For example, the acceleration due to gravity on Mars is about one-third of that on Earth, while on Jupiter it is about two and a half times greater.

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