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Question

The rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of the force. This rule is known as:

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
Newton's Second Law of Motion

Newton's Second Law Explained

The statement, "The rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of the force," directly defines Newton's Second Law of Motion.

This law mathematically relates force ($\vec{F}$), momentum ($\vec{p}$), and time ($t$) as:

$ \vec{F} = \frac{d\vec{p}}{dt} $

Where:

  • $\vec{F}$ is the net applied unbalanced force.
  • $\frac{d\vec{p}}{dt}$ represents the rate of change of momentum with respect to time.

This relationship highlights that a greater force produces a greater change in momentum, and the change happens in the direction of the force.

Why Other Laws Are Incorrect

  • Newton's First Law of Motion (Law of Inertia) describes the state of rest or uniform motion in the absence of net force. It doesn't directly address the rate of change of momentum due to a force.
  • Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. This deals with forces between interacting objects, not the rate of change of momentum of a single object.
  • Newton's Fourth Law of Motion does not exist as a standard law in classical mechanics.

Therefore, the described rule is unequivocally Newton's Second Law of Motion.

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Similar Questions

  1. What is the equation for Newton's second law of motion?
  2. What will be the resultant force if a body of mass 10 kg is moving with an acceleration of 5 m/sec2?

  3. Action and reaction forces are exerted on which bodies during an interaction?

  4. What will happen to a person's weight when he is in a moving elevator?
  5. A constant force acts on an object of mass $10\text{ kg}$ for a duration of $2\text{ seconds}$. It increases the object's velocity from $5\text{ metres/second}$ to $10\text{ metres/second}$. Find the magnitude of the applied force. Now, if the force is applied for a duration of $5\text{ seconds}$, what would be the final velocity of the object?
  6. A box initially at rest is pushed with a force of 30 N to the right while friction applies a force of 30 N to the left. What happens to the motion of the box?


Important Questions from Laws of Motion

  1. Which of the following is correct?

    I. The mass of an object is a measure of its inertia

    II. In an isolated system the total momentum remains conserved

  2. A 20.0 kg block is placed on a smooth horizontal table. A horizontal force of 12.0 Newton is applied to the block. The position of the block at 5.0 sec is

  3. A subway train starts from rest at a station and accelerates at a rate of 3 ms-2 for 10s. It then runs at a constant speed for 20s and decelerates at 5 ms-2 unit it stops at the next station. The distance between the two stations is:

  4. In a desert, a beetle's motion sends fast longitudinal pulses, vL = 150 ms-1, and slower transverse pulses, vS = 50 ms-1, along the sand's surface. The sand scorpion has eight legs; spread roughly in a circle of 5 cm diameter, intercepts the faster longitudinal pulses 4.0 ms earlier than the slower transverse pulse. The pray is located at a distance of:

  5. When we jump out of a boat, the boat moves in the opposite direction. This is due to:

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