Stunning Physics: Find Acceleration due to Gravity

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In summary, acceleration due to gravity is the measure of an object's change in velocity as it falls towards the ground in a gravitational field. It is calculated by dividing the force of gravity by an object's mass, and it varies on different planets based on their mass and radius. The acceleration due to gravity is directly proportional to an object's mass, meaning a heavier object will fall faster. It is also inversely proportional to the square of the distance between two objects, known as the inverse-square law.
  • #1
ƒ(x)
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So. I stumbled upon this brilliant little deuction; it is simply marvelous.

This can be used when anyone needs to find the acceleration due to grav. When opposed by normal force equal to the objects weight in the y direction.

net force = normal force(call it n) - mg*sinA = 0

n = mg*sinA
n/m = g*sinA

this is the tricky part, because n is one farther in the alphabet than m, n/m simplifies to a

so a = g*sinA
 
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  • #2
Nobody has time for foolishness anymore...
 

1. What is acceleration due to gravity?

Acceleration due to gravity is the acceleration experienced by any object in a gravitational field. It is a measure of how quickly an object's velocity changes as it falls towards the ground due to the force of gravity.

2. How is acceleration due to gravity calculated?

The acceleration due to gravity can be calculated by dividing the force of gravity acting on an object by its mass. In other words, the formula for acceleration due to gravity is a = F/m, where a is acceleration, F is force, and m is mass.

3. How does acceleration due to gravity differ on different planets?

The acceleration due to gravity varies depending on the mass and radius of a planet. For example, on Earth, the acceleration due to gravity is 9.8 m/s², while on Mars it is 3.7 m/s². This means that objects will fall faster on Earth than on Mars.

4. How is acceleration due to gravity related to the mass of an object?

Acceleration due to gravity is directly proportional to the mass of an object. This means that as the mass of an object increases, so does its acceleration due to gravity. For example, a heavier object will fall faster than a lighter object.

5. How is acceleration due to gravity related to the distance between two objects?

The acceleration due to gravity is inversely proportional to the square of the distance between two objects. This means that as the distance between two objects increases, the acceleration due to gravity decreases. This relationship is known as the inverse-square law.

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