Newton's laws of motion imp formulas for jee mains
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Newton's Laws of Motion are fundamental to understanding the motion of objects. Here are the key formulas and concepts for JEE Mains:
Newton's First Law of Motion (Law of Inertia):
- An object at rest will remain at rest, and an object in motion will continue to move in a straight line with constant speed, unless acted upon by an unbalanced force.
Newton's Second Law of Motion:
- The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.
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Formula: F = ma
- F: Net force (N)
- m: Mass of the object (kg)
- a: Acceleration of the object (m/s²)
Newton's Third Law of Motion (Law of Action and Reaction):
- For every action, there is an equal and opposite reaction.
Important Formulas and Concepts:
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Weight:
W = mg
- W: Weight of the object (N)
- m: Mass of the object (kg)
- g: Acceleration due to gravity (9.8 m/s²)
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Friction:
The force that opposes the relative motion between two surfaces in contact.
- Static friction: Fs ≤ μsN
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Kinetic friction: Fk = μkN
- μs: Coefficient of static friction
- μk: Coefficient of kinetic friction
- N: Normal force
- Tension: The force transmitted through a string, rope, or cable when it is pulled taut.
- Normal force: The force exerted by a surface on an object in contact with it, perpendicular to the surface.
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Centripetal force:
The force that causes an object to move in a circular path.
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Fc = mv²/r
- Fc: Centripetal force (N)
- m: Mass of the object (kg)
- v: Velocity of the object (m/s)
- r: Radius of the circular path (m)
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Fc = mv²/r
These formulas and concepts are essential for understanding Newton's Laws of Motion and solving problems related to mechanics in JEE Mains. Practice solving a variety of problems to solidify your understanding and improve your problem-solving skills.
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