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The effect of shape / size on the velocity of a falling object through a gas
Actually they will only fall at the same velocity if they have broadly the same shape but differing masses (for an explanation of this see below). However if they are significantly differing shapes then the effects of air resistance will be important. For example a human falling from a plane will travel much more quickly than the same human wearing a deployed parachute will fall even though in the second scenario they technically have more mass.
This is because of the effects of air resistance acting on the large surface area of the parachute. The same effect will occur in any other objects falling through a fluid (in a mechanical sense, gasses act like low density, low viscosity fluids) where one has a significantly different surface area to the other. If however you are conducting your experiment in an environment with no atmosphere (e.g. on the moon) then shape becomes irrelevant and it is only the gravitational acceleration and the height of the fall that is important. For more detail, read on:
Discussion of the velocity of falling objects where air resistance is insignificant:
Because both objects are experiencing the same uniform gravitational acceleration they will accelerate at the same rate and thus achieve the same velocity.
You can also demonstrate that mass doesn't affect the velocity of a falling object by rearranging the equations for calculating simple gravitational potential energy and kinetic energy, whereby the gravitational potential energy (EP) of a stationary object of mass m, at a given height above a surface (h) when allowed to fall due to gravity (g) is equal to the kinetic energy (EK) the object has when it reaches the surface.
EP = EK
EP = mgh
EK = 1/2mv2
mgh = 1/2mv2
The mass terms cancel out!
gh = 1/2v2
Multiply gh by 2 to remove the half
2gh = v2
Take the square root the 2gh term to remove the square from the velocity
v = sqrt(2gh)
As such you can see that the velocity of a falling object is dependent on the gravitational acceleration and the height it falls and not it's mass.
What else can I help you with?
Who discovered that all objectsheavy or lightfall the same velocity?
Galileo Galilei was the first to explain that heavy and light objects would fall the same way in a vacuum. Keep in mind, objects do not fall with 'velocity,' but with 'acceleration.'
Why don't objects fall to earth at the same velocity?
Air resistance of an object can slow its fall. If every object had the same resistance, everything would fall at the same speed.
Why all objects travel at the same velocity?
All objects do not necessarily travel at the same velocity. The velocity of an object depends on factors such as its mass, the force acting on it, and any external influences like friction. In a vacuum, objects of different masses would fall at the same rate due to gravity acting uniformly on all objects.
How does acceleration due to gravity of the large ball compare to the smaller ball?
If you let two balls fall, initially the velocity will be the same. A small (and light) objects will eventually fall slower, because of increased air resistance. But if you can ignore air resistance - distances are short, or you do the experiment in a vacuum - acceleration will continue to be the same - on Earth, about 9.8 (meters per second) per second.If you let two balls fall, initially the velocity will be the same. A small (and light) objects will eventually fall slower, because of increased air resistance. But if you can ignore air resistance - distances are short, or you do the experiment in a vacuum - acceleration will continue to be the same - on Earth, about 9.8 (meters per second) per second.If you let two balls fall, initially the velocity will be the same. A small (and light) objects will eventually fall slower, because of increased air resistance. But if you can ignore air resistance - distances are short, or you do the experiment in a vacuum - acceleration will continue to be the same - on Earth, about 9.8 (meters per second) per second.If you let two balls fall, initially the velocity will be the same. A small (and light) objects will eventually fall slower, because of increased air resistance. But if you can ignore air resistance - distances are short, or you do the experiment in a vacuum - acceleration will continue to be the same - on Earth, about 9.8 (meters per second) per second.
Is terminal velocity the same speed for any weight?
Terminal velocity for a feather will be considerably lower than the terminal velocity of a bullet. The size and shape of the object will play an important role. While objects dropped from a given height in a vacuum will fall to earth at the same velocity, the resistance caused by atmosphere will be different for different objects.
2 objects with same velocity have same momentum if they have the same?
mass. Momentum is the product of an object's mass and its velocity, so if two objects have the same velocity and mass, then their momentum will be the same.
Why do all objects fall to earth at the same time velocity even though the acceleration due to gravity always stays the same?
All objects fall to Earth at the same velocity under gravity because they experience the same acceleration due to gravity, which is 9.8 m/s^2 near the Earth's surface. This means that regardless of their mass, they will accelerate towards the Earth at the same rate, resulting in the same final velocity when they hit the ground.
Disregarding air resistance objects fall at constant?
What you mean is, "Disregarding air resistance, do objects fall at the same rate?" or something similar. In the absence of atmosphere, all objects free fall at the same rate. So if you drop a feather and a 10 lb weight from identical heights in perfect vacuum (or vacume depending on which spelling you prefer) they will land at the same time.
Why don't all objects fall to the earth at the same velocity even though the acceleration due to gravity always the same?
because of the differences in air resistance.
Why don't all objects fall to the earth at the same velocity though the acceleration due to gravity always stays the same?
because of the differences in air resistance.
Why don't all objects fall to the earth at the velocity even though the acceleration due to gravity always stays the same?
The air resistance for objects of different shapes causes a force which accounts for this. A leaf is a good example of an object with large surface area. A parachute - before and then after it is opened it another example. In a vacuum, such as on the Moon, all objects do fall at the same speed. One of the Apollo astronauts dropped a hammer and a feather at the same time; both reached surface together. Maybe you can find a YouTube showing this.
Do two objects that have the same mass and velocity always have the same momentum?
Yes, if two objects have the same mass and velocity, they will always have the same momentum. Momentum is calculated as the product of an object's mass and velocity, so if these values are the same for both objects, then their momentum will also be the same.
