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.
Force is directly proportional to acceleration when mass is held constant. This relationship is described by Newton's second law of motion, which states that force equals mass times acceleration (F=ma). Therefore, as acceleration increases, the force required to produce that acceleration will also increase.
If you increase the acceleration of a mass while keeping the mass constant, according to Newton's second law (F=ma), the force acting on the mass will also increase. This means that if you want to accelerate a mass more quickly, you will need to apply a greater force to achieve that higher acceleration.
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 ball would depend on its mass and the force of the push. This is because force = mass times acceleration. You could manipulate this equation to solve for acceleration by dividing each side by mass. Acceleration therefore equals 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.
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
To get the weight, multiply the mass by the acceleration of gravity wherever the mass happens to be at the moment. Dependoing on local acceleration of gravity, the weight changes from place to place.
Bad idle, hesitation on acceleration, DEcreased performance and gas mileage.
Force is directly proportional to acceleration when mass is held constant. This relationship is described by Newton's second law of motion, which states that force equals mass times acceleration (F=ma). Therefore, as acceleration increases, the force required to produce that acceleration will also increase.