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What's Newton's first law?
Feb 27, 2024
What's Newton's first law?
Answer
Newton's first law states that an object will remain at rest or in uniform motion in a straight line unless acted upon by an external force.
Solution
a
Newton's First Law of Motion: Also known as the law of inertia, it describes the motion of objects and their response to forces
b
Inertia: This is the property of an object to resist changes in its state of motion. Objects at rest will stay at rest, and objects in motion will stay in motion with the same speed and in the same direction, unless acted upon by an unbalanced external force
c
Mathematical Expression: There is no specific mathematical formula for Newton's first law, but it can be related to the concept of equilibrium where the net force is zero: ∑F⃗=0 \sum \vec{F} = 0
Key Concept
Law of Inertia
Explanation
Newton's first law is often referred to as the law of inertia, which explains the behavior of objects when no net force is acting on them.
What is the mathematical representation of Newton's first law in terms of forces and acceleration?
Answer
The mathematical representation of Newton's first law in terms of forces and acceleration is ∑F⃗=ma⃗ \sum \vec{F} = m\vec{a} where the sum of the forces ∑F⃗ \sum \vec{F} is zero when the object is at rest or moving with constant velocity, implying that the acceleration a⃗ \vec{a} is also zero.
Solution
a
Newton's First Law in Mathematical Terms: Newton's first law can be expressed using the concept of net force. If the net force acting on an object is zero, the acceleration of the object is also zero. This can be represented by the equation ∑F⃗=ma⃗ \sum \vec{F} = m\vec{a} where ∑F⃗ \sum \vec{F} is the vector sum of all forces acting on the object, m m is the mass of the object, and a⃗ \vec{a} is the acceleration of the object. For an object at rest or moving with constant velocity, a⃗=0⃗ \vec{a} = \vec{0} , which implies that ∑F⃗=0⃗ \sum \vec{F} = \vec{0}
Key Concept
Net Force and Acceleration
Explanation
Newton's first law suggests that for an object to have zero acceleration (either at rest or moving with constant velocity), the net force acting on it must be zero. This is mathematically represented by the equation ∑F⃗=ma⃗ \sum \vec{F} = m\vec{a} , where the net force is zero when the acceleration is zero.
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