THIS USER ASKED 👇

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. plz & thx!

THIS IS THE BEST ANSWER 👇

C) is the correct answer to the question. An object accelerates in the same direction as the applied force.

EXPLANATION:

Before we go on to answer this question, first we must understand Newton’s second laws of motion.

According to Newton ‘s second laws of motion, the rate of change of momentum is directly proportional to the net external force and occurs along the direction of the force.

Mathematically F =   frac {dP} {dt}

Here, P is the momentum and P = mv.

⇒ F =  frac {d} {dt} (mv)

= m  frac {d} {dt} (v) [m = constant]

= ma.

Here, m and v are body mass and velocity.

‘a’ stands for body acceleration which is the rate of change of velocity.

In vector form it can be written as  vec F =  m  times  vec a.

Hence, it is clear that the net external force is a mass product to be accelerated.

Because mass is a scaled quantity, so we can say that the force is only the scaled multiple of the mass with acceleration.

Hence, the direction of acceleration will be along the direction of the force.