directly proportional
because force=(mass)(acceleration) (f=ma)
Force is directly proportional to mass provided the acceleration is constant.
a = k/b when a is inversely proportional to b, where k is a constant.
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
Two quantities and are said to be inversely proportional (or "in inverse proportion") if is given by a constant multiple of , i.e., for a constant. This relationship is commonly written
Various options: y is directly proportional to k, with x as the constant of proportionality; y is directly proportional to x, with k as the constant of proportionality; x is inversely proportional to k, with y as the constant of proportionality; x is directly proportional to y, with 1/k as the constant of proportionality; k is directly proportional to y, with 1/x as the constant of proportionality; and k is inversely proportional to x, with y as the constant of proportionality.
Force is directly proportional to mass provided the acceleration is constant.
Acceleration is directly proportional to the net force. Net force is equal to the mass times acceleration, taking this into consideration we can clearly see that acceleration is inversely proportional to mass.By Armah Ishmael Ryesa
Current is inversely proportional to resistance, this comes from the ohms law. V=IR If we keep the voltage as constant then Current will be inversely proportional to resistance
a = k/b when a is inversely proportional to b, where k is a constant.
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.
Although you clearly know what you're saying, that statement could give studentsthe wrong idea. We'd rather see it stated in two independent pieces. You'll see why.1). The acceleration of an object is directly proportional to the net external force.That part is perfect as stated.2). The acceleration of an object is inversely proportional to the mass of the objectonly in response to the same, constant net external force.
If the product of two variables is equal to a constant, then they are inversely proportional. eg. If xy=c where c is a constant, then x and y are inversely proportional.
Two quantities and are said to be inversely proportional (or "in inverse proportion") if is given by a constant multiple of , i.e., for a constant. This relationship is commonly written
Generally, if y increases as x increases, this is a hint that the quantity is directly proportional, and if y decreases as x increases, the relation might be inversely proportional. However, this is not always the case. x and y are directly proportional if y = kx, where k is a constant. x and y are inversely proportional if y = k/x, k is constant. This is the best way to tell whether the quantities are directly or inversely proportional.
Sure. With a constant force, acceleration is inversely proportional to mass. That's why it's so much easier to get a little kid going on a swing than to get a dead car moving by pushing it.
The acceleration of an object is proportional to the net force acting on it. So if the force is reduced by half, the acceleration will also be halved. Of course, it will still be accelerating in the same direction as before, but not as quickly.
Two variables, X and Y are said to be in inversely proportional is X*Y - k where k is some non-zero constant. X and Y are said to be directly proportional if X = c*Y where c is some constant.