Question

The rate of change of momentum is directly proportional to the impressed force and takes place in the same direction in which the force acts. This statement is known as:

• A. Newton's first law of motion
• B. Newton's second law of motion
• C. Newton's third law of motion
• D. none of these

Hint:

Momentum ($p$) is a vector quantity. This means that a force can change the speed of an object, its direction, or both.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Newton's Second Law provides a quantitative definition of force. It relates the net force acting on a body to the resulting change in its motion (momentum).

Step 2: Key Formula or Approach:
Mathematically, the law is expressed as: \[ F \propto \frac{dp}{dt} \] Where $p = mv$ (momentum). For a constant mass, this simplifies to the famous equation: \[ F = ma \]

Step 3: Detailed Explanation:
The law implies that to change the momentum of an object, a force must be applied. The faster you want to change the momentum, the greater the force required. The direction of the acceleration (or change in momentum) is always the same as the direction of the applied force.

Step 4: Final Answer:
The statement describes Newton's second law of motion.