Newton's second law of motion states that
D. the force acting on a body equals the rate of change of momentum
Explanation:
Newton's second law of motion states that the force acting on a body is equal to the product between the mass of the body and its acceleration. Mathematically:
[tex]F=ma[/tex]
where
F is the force
m is the mass
a is the acceleration
We can re-write the acceleration as the rate of change of the velocity:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
So we can re-write the equation as
[tex]F=\frac{m\Delta v}{\Delta t}[/tex]
However, the term [tex]m\Delta v[/tex] represents the change in momentum of the body, [tex]\Delta p[/tex] (assuming its mass to be constant). Therefore, we can further rewrite the equation as
[tex]F=\frac{\Delta p}{\Delta t}[/tex]
which means that the force acting on a body equals the rate of change of momentum (option D).
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Answer:
a. for every action there is equal and opposite reaction
Explanation:
Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body. It states that the time rate of change of the momentum of a body is equal in both magnitude and direction to the force imposed on it.
