If my density remains the same, as it tends to do if you're a human (and my height stays constant also) then halving my radius would result in a 4 fold decrease in mass. So whatever the ratio of the new radius to the old, you must square it to find the new mass to old mass ratio. This is because the mass with constant height is a two dimensional function of area, whereas the radius is only one dimensional. Eg. Radius is now 80% of original. New mass is 80% * 80% = 64% of original. If you're talking 3 dimensional radius reduction, like a sphere, then you CUBE the ratio. So 80% * 80% * 80% = 51.2%. So reducing the radius by only 20% results in nearly halving the mass!
Let start with the equation of acceleration:
acceleration = force / mass
It depends on what is happening to object when mass decreases.
If the force reminds the same. Then according to this equation the object rate of acceleration would increase.
Basically a rocket would be an example of this.
The force of the rocket fuel being emptied out of the rocket would decrease the mass of the rocket and therefore increase the rate of acceleration as the fuel is being burned.
When mass of object decreases then acceleration of object will increases.
F=ma
If acceleration is kept constant but you vary the mass, the force will vary in direct proportion to the mass. If the mass increases, the force will also increase, and if the mass decreases the force will also decrease. Newton's 2nd Law, illustrated by the equation F=ma, illustrates this.
To achieve more acceleration, you need more force.
The mass of the nucleon is decreased; the difference is released as energy.
you have to take mass and acceleration to get force
My bad, im asking why the formula isnt acceleration= force - mass
The acceleration of the object increases.
it gets decreased
If the mass of an object increases, what happens to the acceleration?
Force equals mass times acceleration, so an alternative formula is acceleration equals force divided by mass. Therefore if the mass is decreased, the acceleration goes up. Thus a 100 HP engine on a motor cycle produces more acceleration than the same engine on a car.
Assuming that mass stays constant, a decrease in force will result in a corresponding decrease in the acceleration of the object being acted upon by the force.
Acceleration is a net force that is inversely dependent on mass, therefore if an object's mass decreases, acceleration increases.
If acceleration is kept constant but you vary the mass, the force will vary in direct proportion to the mass. If the mass increases, the force will also increase, and if the mass decreases the force will also decrease. Newton's 2nd Law, illustrated by the equation F=ma, illustrates this.
Acceleration remains the same. Remember that Force equals Mass times Acceleration, or Acceleration equals Force divided by Mass. So, if both Force and Mass double, Force Divided by Mass remains the same.
Acceleration increases
The density will decrease
When mass increases, the force increases (f=ma) and the acceleration decreases (a=F/m).
Force equals mass times acceleration, so an alternative formula is acceleration equals force divided by mass. Therefore if the mass is decreased, the acceleration goes up. Thus a 100 HP engine on a motor cycle produces more acceleration than the same engine on a car.