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Newtons First Law

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How does the equilibrium rule relate to Newton's first law of motion?

Newtons first law states an object in motion will remain in motion unless acted upon by an outside for and an object at rest will remain at rest unless acted upon by an outside force. Either way the object will not have an acceleration and since F=ma, and a=0 there must not be any forces acting on that object either with means the forces are in equilibrium. If an ice skater is moving forward at constant speed, the gravity force and normal force will equal each other in the y direction, and since the skater is moving at constant velocity there is no force in any other direction.

On a smooth floor, why will girls wearing gym shoes win in a tug-of-ware with boys wearing socks?
When the girls are wearing shoes, there will be greater friction between them and the floor. When the boys are wearing socks, there will be less tension between them and the floor making things smoother and causing them to fall. This describes Newton's third law of motion.

If you stand on a pair of bathroom scales, explain how the readings change as you shift your weight gradually from side to side. What rule governs the readings on the scales?
The equilibrium rule guides the scale readings. That is, the total of the readings adds to equal your weight. Then the net force on you is zero at all times. The scales push up as much as gravity pulls you down.

Many people are confused about velocity and acceleration, thinking the terms mean the same thing. Distinguish between these two and give an example.
Velocity is basically how fast an object is moving. It's not the same as speed because it isn't just how fast that object moves from one place to another but also considers direction. It has vector quantity. What this means is that velocity isn't just how fast or how slow an object is moving but in which direction

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