Since F = m a, and for a fixed force F, m and a are inversely related.
This becomes so clear as we rewrite the equation as m = F/a.
So m is inversely proportional to the acceleration produced
In Newton's Second Law, usually stated as:
Force = mass x acceleration
Solve for acceleration:
Acceleration = force / mass
As you can see, the mass is in the denominator. That means, for example, that if mass increases (other things being equal), the acceleration will decrease. It also means that it acceleration will decrease by the same factor that mass increases.
That means that - other things being equal - when there is more mass, acceleration will be less. More specifically, "inverse proportion" means, in this case:
a = k/m (for some proportionality constant "k")
According to Newton's Second Law:
a = F/m,
so the proportionality constant is the force in this case.
the bigger something is, the longer it takes to get it rolling at ______ speed.
Depends what u mean by that. If it is free falling it would obviously be accelerating at 9.8m/s^2. If there is an incline then it depends. I believe acceleration is directly proportional to velocity though.
all gases. The volume of a gas is directly proportional to the temperature, and inversely proportional to pressure. Maybe you mean air, but air is a mixture of gases
If you mean electromagnetic waves, the energy per photon is directly proportional to the frequency (and therefore inversely proportional to the wavelength). The total energy of the wave, of course, can be just about anything.
A motion is simple harmonic if the acceleration of the particle is proportional to the displacement of the particle from the mean position and the acceleration is always directed towards that mean position.
the bigger something is, the longer it takes to get it rolling at ______ speed.
This is true only if the resultant force is constant. From Newton's second law, F = ma where F is resultant force m is mass and a is acceleration a = F/m => a is inversely proportional to m This means that when m increases, a decreases and when m decreases, a increases.
It means that if you increase the force, acceleration will increase. However, if you increase the mass of the object you are accelerating, the acceleration will decrease. It all stems from the basic equation F=ma, where F is the force, m is the mass and a is the acceleration. Rearranging for a gives a=F/m. This means that as m is the denominator, if it doubles and F remains constant, a will halve.
Depends what u mean by that. If it is free falling it would obviously be accelerating at 9.8m/s^2. If there is an incline then it depends. I believe acceleration is directly proportional to velocity though.
Did you mean a gas' solubility in water? Then temperature would be inversely proportional.
The gravitational force most commonly refers to Newton's low of universal gravitation. The for is directly proportional to the product of the mass of the two interacting bodies and inversely proportional to the square of the distance between them.
The gravitational force most commonly refers to Newton's low of universal gravitation. The for is directly proportional to the product of the mass of the two interacting bodies and inversely proportional to the square of the distance between them.
Bigger masses mean a bigger force of gravity. Bigger distances mean smaller forces. Mathematically, the force is directly proportional to the product of the masses, and inversely proportional to the square of the distance.
The gravitational force most commonly refers to Newton's low of universal gravitation. The for is directly proportional to the product of the mass of the two interacting bodies and inversely proportional to the square of the distance between them.
When you double one thing you halve the other thing.
No. I assume you mean Newton's Second Law; this law - in the form it is commonly teached in schools - states that F=ma. Assuming mass is constant, that would make force proportional to acceleration - not to velocity. Acceleration is the rate of change of velocity.
The weight of an object is its mass multiplied by acceleration due to gravity. If you assume that acceleration due to gravity is a constant then weight would be a constant multiple of mass and the two measures would be proportional. However, gravitational acceleration varies across the earth: depending on latitude and altitude, as well as the density of rocks underneath and other local geological features. So the assumption about it being a constant is not true.