State whether the following statement is true or false:
$1 \ N$ is the force that produces an acceleration of $1 \ m \ s^{-2}$ in a body of mass $1 \ g$.
$1 \ N$ is the force that produces an acceleration of $1 \ m \ s^{-2}$ in a body of mass $1 \ g$.
(FALSE) The statement is False.
According to Newton's second law of motion,$F = m \times a$.
$1 \ N$ is defined as the force required to produce an acceleration of $1 \ m \ s^{-2}$ in a body of mass $1 \ kg$,not $1 \ g$.
Since $1 \ kg = 1000 \ g$,the force required to accelerate $1 \ g$ $(0.001 \ kg)$ at $1 \ m \ s^{-2}$ is $0.001 \ N$.
According to Newton's second law of motion,$F = m \times a$.
$1 \ N$ is defined as the force required to produce an acceleration of $1 \ m \ s^{-2}$ in a body of mass $1 \ kg$,not $1 \ g$.
Since $1 \ kg = 1000 \ g$,the force required to accelerate $1 \ g$ $(0.001 \ kg)$ at $1 \ m \ s^{-2}$ is $0.001 \ N$.
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