Question

One formula that expresses Newton's second law of motion is:

Answer 1

Answer:

The last option

Explanation:

• Newton's second law states that the rate of change in momentum is directly proportional to the force applied and it takes the direction of the force.

$\dashrightarrow \: { \tt{ \frac{\delta \: momentum}{time} = force }} \\ \\ \dashrightarrow \: { \tt{f = \frac{mv - mu}{t} }} \\ \\ \dashrightarrow \: { \tt{f = \frac{m(v - u)}{t} }} \\ \\ \dashrightarrow \: { \tt{f = m \{ \frac{(v - u)}{t} \}}}$

• from first equation of motion:

${ \bf{a = \frac{v - u}{t} }}$

substitute:

$\dashrightarrow \: { \tt{f = ma}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: force = mass \times acceleration \: \: }}}$

• Assumption taken:

→ mass, m is assumed to be constant

→ the motion is assumed not to start from rest.