Please respond to the following question as a comment.
During our science talk, we placed the following on the board:
Fcar = (ma)car
Fcan = (ma)can
Why it was necessary to understand the system in order to draw conclusions about
the
ma = ma
statement?
It is necessary to understand the system because all the variables that apply to F = (ma) will make ma = ma due to Newton's Third Law of Motion. Newton's Third of Motion states the following: when there is an action, there is an opposite and equal reaction. Since the F car and F can equals, then (ma)car equals (ma)can. Therefore, you can draw the conclusion that ma = ma.
ReplyDeleteIn order to understand ma=ma we need to understand Newton's Second Law of Motion: Force = mass x acceleration. We also need to understand Newton's Third Law of Motion: for every action there is an equal and opposite reaction. The force being applied to the canister is also being applied to the car. Although the force is the same the mass of each object is different which causes the acceleration to be different as well. Due to the fact that F=ma than we can conclude that the mass x acceleration (ma) is also equal to F.
ReplyDeleteIt's necessary because it does not look as if the canister can generate a force equal to that of the car because of the canister's significantly smaller size. However, when you can look at the system and see how the canister's greater acceleration "a" multiplied by its smaller mass "m" produces a force equal to that of the car with its greater mass and lower acceleration, the outcome of ma=ma makes sense.
ReplyDeleteIt's necessary to understand the system so you can completely grasp why ma=ma. Force = (mass)(acceleration) which is stated in Newton's Second Law. The Force of the car is caused by the mass of it and the acceleration it has on itself. The canister being placed on the car and launched off the car produces an action and force. Having Newton's Third Law stating that, for every action there is a equal and opposite reaction, is showing us that there had to be a force/action that launched the canister off the car producing an equal and opposite reaction on the car as well. The acceleration of the canister and the car will be different from each other when produced and the mass of the canister is obviously different from the mass of the car. However since both the car and canister produce different accelerations with different masses then that means the Force, being produced, will be the same. If the Force of the car = mass times acceleration and the Force of the canister = mass times acceleration then the Forces would be equal of both car and canister. Therefore if both Forces are the same then the mass and acceleration would have to be equal too, giving us ma = ma.
ReplyDeleteIt is necessary to understand the system to be able to interpret ma=ma. F=ma is Newton's second law which explains that a net force is acting on an object. When the canister pushes on the car, the car pushes back with an equal force. The two objects have different masses and acceleration, but their forces are equal. This is explained by Newton's third law (equal reactions=equal forces). Thus, ma=ma.
ReplyDeleteUnderstanding the system is necessary in order to understand that ma=ma. The canister's force is equal to the force of the car because the mass and accelerations of the two are inverse. Since the weight of the canister is smaller it has a faster acceleration; whereas the mass of the car is greater therefore the acceleration is slower. Ergo ma=ma
ReplyDeleteIt is neccessary to understand the system in order to comprehend that ma=ma. Newton's second law states that F=ma. THis helps explain that there is a specific force that is acting upon the objects. When something is being pushed on with force there is an equal amount of force being pushed back onto the object. It also helps to understand Newton's 3rd law of motion. For every action, there is an equal or opposite reaction. THe force of the canister is the same amount of force as the force of the car. Therefore, ma=ma.
ReplyDeleteIt is necessary to understand understand the system in order to understand that ma=ma. This can be interpreted in Newton's second law of motion which states: Force= Mass * Acceleration. The force of the canister is the same force applied to the car, but in the opposite direction. This action can be interpreted in Newton's third law of motion which states that for each action there is an equal and opposite reaction.
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ReplyDeleteIt’s best to understand that ma=ma in order to understand Newton’s third law of motion, which allows quantitative calculations of dynamics: how do velocities change when forces are applied. According to Newton, a force causes only a change in velocity (acceleration). Force = mass x acceleration, is the equation used in order to prove to an audience that mass x acceleration is equal to mass x acceleration. In the newton’s car experience the force applied to both the car and canister is equal therefore, the acceleration is equal, when reducing the sum of the force, mass, and acceleration within two objects. For example, 2/7, which may the total of the smaller object will equal to a larger object with 4/14. 4/14 can be reduced to 2/7, which makes the mass and acceleration equal.
ReplyDelete