How was Newton's first law discovered?
This is the way I remember it...
When an object, like a wooden block, is kicked on a surface, it moves until it stops, but if the surface is smoothed out, the object stops after a longer distance. Galileo therefore reasoned that if the surface were made "infinitely" smooth, the object would never stop.
In other words, once the first kick—that is, the Force that initiates the movement from zero to a certain speed—ends, there is no longer any "pushing" involved, and the object moves (at a constant speed). Unless the surface exerts a counterforce to stop it, the object will continue to move indefinitely. This is because Newton realized that this smoothing process was necessary to eliminate an entity (a Force) that was causing the object to stop.
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Newton's first law of motion, also known as the law of inertia, was discovered through observation and experimentation by Sir Isaac Newton in the late 17th century. Newton formulated this law based on his observations of the motion of objects and his understanding of the forces acting upon them. He observed that an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an external force. This principle laid the foundation for Newton's laws of motion and revolutionized the understanding of mechanics and physics.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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