Question

1. which mathematical statement does not accurately display newtons second law of motion?

$m = \frac{\sum f}{a}$
$a = \frac{\sum f}{m}$
$\sum f = ma$
$a = \sum fm$

Explanation:

Step1: Recall Newton's second law

Newton's second law is \(\sum F = ma\).

Step2: Derive other forms

From \(\sum F = ma\), we can get \(m=\frac{\sum F}{a}\) (by dividing both sides by \(a\)) and \(a = \frac{\sum F}{m}\) (by dividing both sides by \(m\)).

Step3: Analyze each option

• For \(m=\frac{\sum F}{a}\), it is a valid form derived from \(\sum F = ma\).
• For \(a=\frac{\sum F}{m}\), it is a valid form derived from \(\sum F = ma\).
• For \(\sum F=ma\), it is the standard form of Newton's second law.
• For \(a=\sum Fm\), this is not a correct form. If \(\sum F = ma\), then \(a=\frac{\sum F}{m}

eq\sum Fm\).

Answer:

The option \(a = \sum Fm\) does not accurately display Newton's second law of motion.