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Because the acceleration of objects free falling is consistent anywhere on earth, one can conclude that inertial and gravitational mass are equal.
This is called the Equivalence Principle. There are many formulas to go with it. But it is basically this: A little reflection will show that the law of the equality of the inertial and gravitational mass is equivalent to the assertion that the acceleration imparted to a body by a gravitational field is independent of the nature of the body. For Newton's equation of motion in a gravitational field, written out in full, it is: (Inertial mass) (Acceleration) = (Intensity of the gravitational field) (Gravitational mass). It is only when there is numerical equality between the inertial and gravitational mass that the acceleration is independent of the nature of the body. -Albert Einstein
Only from the object's frame of reference because the object's inertial motion is equal to the gravitational acceleration. Weight equals mass times gravitational acceleration (W=mg), so you would feel weightless, but your mass stays the same.
between 9.78 and 9.82 m/s2
An inertial frame of reference = constant vel. non inertial frame of reference = acceleration
Because the acceleration of objects free falling is consistent anywhere on earth, one can conclude that inertial and gravitational mass are equal.
Because the object's inertial motion is equal to the gravitational acceleration. Weight equals mass times gravitational acceleration (W=mg), so you would feel weightless, but your mass stays the same.
This is called the Equivalence Principle. There are many formulas to go with it. But it is basically this: A little reflection will show that the law of the equality of the inertial and gravitational mass is equivalent to the assertion that the acceleration imparted to a body by a gravitational field is independent of the nature of the body. For Newton's equation of motion in a gravitational field, written out in full, it is: (Inertial mass) (Acceleration) = (Intensity of the gravitational field) (Gravitational mass). It is only when there is numerical equality between the inertial and gravitational mass that the acceleration is independent of the nature of the body. -Albert Einstein
Only from the object's frame of reference because the object's inertial motion is equal to the gravitational acceleration. Weight equals mass times gravitational acceleration (W=mg), so you would feel weightless, but your mass stays the same.
No. Things are only weightless in the absence of a gravitational field or in constant acceleration (Inertial weight or mass) (Ask any skydiver.)
What
The idea here is that if - for example - one object has twice the inertia than another (i.e., twice the "inertial mass"), its reaction to gravity (its "gravitational mass") will also be twice as much. Thus, the gravitational mass and the inertial mass are directly proportional to one another, and you can just as well choose the proportionality constant to be one, making them equal.
between 9.78 and 9.82 m/s2
Gravitational acceleration is simply acceleration due to gravity.
Mass is genarally of two types. Inertial Mass and Gravitational Mass. Einstein prooved both are equal. inertial mass is m= Force/acceleration gravitational mass is m= Wieght/acceleration due to gravity. How can you measure mass of apple in absence of gravity(Say somewhere in free space or imagine on any planet whose gravity is almost NIL). Remember that Mass is NOT weight. Mass is different and Weight. Weight is NOT the direct measurement of Mass. You have to devide 'weight' by the acceleration due to gravity of any place(what we call g). Free space is weightless. No balance can work there.
Inertial mass is a quantitative measure of an object's resistance to the change of its speed. Gravitational mass is the property of the mass of an object that produces a gravitational field in the space surrounding the object.
An inertial frame of reference = constant vel. non inertial frame of reference = acceleration