Obtaining F = ma: The Evolution of Mass and Acceleration Measurements

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In summary, the conversation discusses the concept of mass and how it relates to the equation F=ma. It is explained that mass is the resistance to a change in motion and is measured by the amount of force required for acceleration. The conversation also mentions an experiment and how the measurement of mass was obtained. However, the topic is concluded with a reminder to not repeat previously discussed questions and to put in effort to understand the information already provided.
  • #1
Fernando Rios
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How was F = ma obtained? What is mass? If you say mass is amount of matter, then what is matter? How did they measure accelerations at that time?
 
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  • #2
Your first question requires the second. Typically, mass is defined as "resistance to a change in motion": the more force require for acceleration then greater the mass: m= f/a from which f= ma immediately follows.
 
  • #3
HallsofIvy said:
Your first question requires the second. Typically, mass is defined as "resistance to a change in motion": the more force require for acceleration then greater the mass: m= f/a from which f= ma immediately follows.
Thank you for your reply. So, in the experiment what was measured and how was it measured?
 
  • #4
Fernando Rios said:
How was F = ma obtained?
You asked exactly the same question 3 weeks ago. Have you not found the answers satisfactory? Please don't re-tread old ground. If you have any follow-ups to make, make them in your other thread and show with your new questions that you've made an effort to absorb what you've already been told/shown. Thread locked.
 

1. How was F = ma derived?

F = ma was derived by Sir Isaac Newton in his second law of motion, also known as the law of acceleration. He stated that the force acting on an object is directly proportional to the mass of the object and its acceleration.

2. What is the significance of F = ma in physics?

F = ma is significant because it is one of the fundamental equations in classical mechanics that explains the relationship between force, mass, and acceleration. It is used to calculate the acceleration of an object when the force acting on it is known.

3. Can you provide an example of F = ma in real life?

One example of F = ma in real life is when a person pushes a shopping cart. The force they apply to the cart is directly proportional to the mass of the cart and the acceleration it experiences. If the cart is heavier, more force is needed to accelerate it.

4. How does F = ma relate to Newton's first and third laws of motion?

F = ma is closely related to Newton's first and third laws of motion. Newton's first law states that an object at rest will remain at rest unless acted upon by an external force, while an object in motion will remain in motion at a constant velocity unless acted upon by an external force. F = ma explains how this external force (F) affects the acceleration (a) of the object. Newton's third law states that for every action, there is an equal and opposite reaction. F = ma helps to explain how these equal and opposite forces result in acceleration.

5. Are there any limitations to F = ma?

F = ma is a simplified version of the equation of motion and has limitations when applied to real-world scenarios. It assumes that the mass of the object remains constant, the force is constant, and there is no friction or other external forces acting on the object. In reality, these factors may affect the acceleration of an object, and more complex equations may be needed to accurately describe the motion.

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