Question

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

1.distance = speed(time)
2.speed = distance/time.
3.force = mas(acceleration)

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Answer 1

The last option

Step-by-step 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{ (\delta \: momentum)/(time) = force }} \\ \\ \dashrightarrow \: { \tt{f = (mv - mu)/(t) }} \\ \\ \dashrightarrow \: { \tt{f = (m(v - u))/(t) }} \\ \\ \dashrightarrow \: { \tt{f = m \{ ((v - u))/(t) \}}}`

• from first equation of motion:

`{ \bf{a = (v - u)/(t) }} \\`

substitute:

`\dashrightarrow \: { \tt{f = ma}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ \: \: force = mass * acceleration \: \: }}}`

• Assumption taken:

→ mass, m is assumed to be constant

→ the motion is assumed not to start from rest.