Question

Newton's Second Law of Motion states

Answer 1

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:

$F=ma$

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:

$a=\frac{\Delta v}{\Delta t}$

So we can re-write the equation as

$F=\frac{m\Delta v}{\Delta t}$

However, the term $m\Delta v$ represents the change in momentum of the body, $\Delta p$ (assuming its mass to be constant). Therefore, we can further rewrite the equation as

$F=\frac{\Delta p}{\Delta t}$

which means that the force acting on a body equals the rate of change of momentum (option D).

Learn more about Newton's second law:

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