why do mass appear to gain weight when being accelerated?

Question

why do mass appear to gain weight when being accelerated upward.... is there an equation to explain it, if so which one is it...

Answer 1

There are two forces applied to the object standing on the floor: gravity P= mg and force from the floor N which is defined as the weight of the object.

If the object is not moving N = P = mg: weight equal gravity
If the object is accelerating upward: N - P = ma
N = P + ma = m(g+a)
Object weight is greater than gravity.

Answer 2

This is simply one of Newton's three laws of motion. Let's see where this comes from.

Law 1: p = mv; where p is momentum, m is your mass, and v is the velocity of that mass. This says all bodies with a velocity have momentum. And, further, there are no forces required to keep that momentum p as long as v = constant; that is, when there is no change in velocity, there are no forces.

Law 2: A change in momentum dp/dt = d(mv)/dt = dm/dt v + m dv/dt = m dv/dt = m a = f; if mass is fixed. All this math talk simply means that it takes a force f to change the velocity (dv/dt) = a of any mass m. A change in velocity is called acceleration (a). And force f is like weight; in fact, what we call weight is really just the "force" of gravity acting on a mass.

So, there we have it, f = ma. So when your elevator accelerates upward, we have a > 0. And, from, f = ma, we have f = ma > 0; so there is a positive force pushing down on whatever is accelerating upward...including you in the elevator.

Let's look at your weight, W = mg. g is an acceleration due to gravity (not the elevator). Now add the force due to the elevator (f); so we have F = W + f = mg + mg = m (g + a). Clearly F > W when the elevator lurches upward and that difference F - W = f is the "gain weight" you asked about. And your mass m, is seemingly heavier than your normal weight W.

Answer 3

Because mass and weight are not the same thing.

Mass is a constant, and measure of how much "stuff" something contains. it is a property of matter therefore there is no equation to determine mass.

Weight (a force vector) is the product of mass and acceleration, the greater the acceleration the greater the weight.

Weight is represented by the Force equation "F=ma" of which mass is a component.

Answer 4

Newtons 2nd Law:

You need a force to accelerate an object.

Newtons 3rd Law:

That opposite and equal of the accelerating force that was needed to accelerate the object is added to the weight. (Opposite of up is down and the object's weight due to gravity is also down)

Therefore you will feel the sensation of the increased weight on your hand.

Answer 5

right here a=g+a million weight=2(9.8+a million) =21.6N undergo in strategies weight is finished rigidity appearing on merchandise in downward course while physique hurries up uppward it will advance value of a and reduces while it hurries up downward

Answer 6

There is no appearance about it. The equation to learn is e=mc2. Greater energy (e) correlates to greater mass (m).