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The gravitational force on an object is proportional to its mass; that is, if you double the mass of the object, then the gravitational force on that object also doubles. Also, force is DEFINED as mass times acceleration*.
So lets say the force F of gravity is F=Gm where G is something that does NOT depend on mass. and m is the mass of an object. Well by definition, F = ma, where a is the acceleration. Combining the definition of force with the gravitational force suggests F=Gm=ma=F, or by dividing each side by m, G=a.
Now, like I said, G doesn't depend on m, and since G=a, a doesn't depend on m. The acceleration of an object due to gravitation does not depend on the mass of the object.
*Actually force is defined as the time rate of change of momentum, but if mass is constant, then the time rate of momentum is just mass times acceleration.
In an electric field, the electric force on an object does NOT depend on the object's mass, so if Earth had an electric field instead of a gravitational field, then objects with greater mass would not fall as fast and objects with less mass (under the same force).
What else can I help you with?
Do solid objects fall with hollow objects at the same speed?
In a vacuum, solid and hollow objects fall at the same speed due to gravity. However, in the presence of air resistance, hollow objects might fall more slowly compared to solid objects of the same mass and shape, as air resistance affects hollow objects differently.
Why do a feather and a hammer fall at the same speed in a vaccum?
In a vacuum, air resistance is eliminated, and all objects fall due to gravity alone. The acceleration due to gravity is the same for all objects regardless of their mass, so they fall at the same speed in a vacuum.
Who developed law of falling bodies that states that all objects fall at the same speed regardless of their mass?
Galileo
How Does the mass of an object affect the speed with which it falls?
The mass of an object does not affect the speed at which it falls. In a vacuum, all objects fall at the same rate regardless of their mass, a concept known as the equivalence principle. However, in real-world conditions, air resistance can affect the fall speed of objects with different masses, but to a very small extent.
Two masses fall 3 meters to the ground. If friction is neglected when do they reach the ground?
both masses have the same speed. The acceleration of objects in freefall is independent of mass, resulting in the same speed at the end of a fall. The momentum and energy are proportional to the mass.
Why don't all falling objects fall at the same speed?
The only reason falling objects don't fall at the same speed on Earth is the countering force of wind resistance. Without air, all objects would fall at the same rate, regardless of mass (ex. Galileo's ball experiments, as well as the hammer and feather experiment on the Moon).
How might you test the scientific law that two objects of different mass fall at the same speed?
You can conduct an experiment in a vacuum chamber where you drop objects of different mass and observe their rate of fall. By eliminating air resistance, you can test if both objects fall at the same speed due to gravity alone. Make sure to use sensitive measuring equipment to accurately measure the time it takes for each object to fall.
How would you test the hypothesis that objects fall at the same speed regardless of their mass?
Try it. That's what's known as an experiment.
Who found (discovered) that objects of different mass and weight fall at the same rate?
Who found (discovered) that objects of different mass and weight fall at the same rate
Who said that objects fall at the same rate of speed and challenged the teachings of the church?
Galileo Galilei, an Italian scientist and astronomer, is credited with challenging the teachings of the church by proposing that objects fall at the same rate of speed regardless of their mass. This idea contradicted the Aristotelian view supported by the church at the time.
When two objects of different masses are dropped at different positions will they fall at the same speed?
Yes, in the absence of air resistance, all objects near the surface of the earth when dropped will accelerate due to gravity at the same rate of 9.8 m/s^2. This means that they will fall at the same speed regardless of their mass or starting position. However, in the presence of air resistance, the speed at which they fall may vary.
How do two objects fall at the same speed?
Yes. Neglecting the effects of air resistance, ALL objects fall with the same acceleration near the surface of the earth, meaning that any two objects dropped at the same time will have the same velocity after the same time interval.
