Question

Which statement is true according to Newton's second law of motion?

An object accelerates in the direction opposite to the direction of the force applied.
An object accelerates in the direction perpendicular to the direction of the force applied.
An object accelerates in the same direction as that of the force applied.
An object undergoes no acceleration on the application of force.
An object’s acceleration is independent to the force applied.

Answer 1

An object accelerates in the same direction as that of the force applied.

Answer 2

An object accelerates in the same direction as that of the force applied.

Step-by-step explanation:

As we know that as per Newton's II law

Rate of change in momentum of the object is proportional to its net force

so here we have

`\vec F = (d\vec P)/(dt)`

now we know that

momentum is product of mass and velocity

`\vec F = (d m\vec v)/(dt)`

`\vec F = m (d\vec v)/(dt)`

`\vec F = m\vec a`

so here from above equation we can say that force vector and acceleration vector must be along same direction and hence object must have to accelerate in the direction of applied force.