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Newton's Second Law of Motion
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Newton's Second Law of Motion

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Questions and Answers

What are the three types of changes that a force can produce in an object?

A force can change the speed of an object, change the direction of motion of an object, and change the shape of the object.

What is the definition of linear momentum, and what is its SI unit?

Linear momentum is the product of mass and velocity of a body, and its SI unit is kgm/s.

What is the relation between the applied force and the rate of change of momentum according to Newton's second law of motion?

The applied force is proportional to the rate of change of momentum.

What is the relationship between the linear momenta of bodies having equal masses and velocities?

<p>The linear momenta of bodies having equal masses are proportional to their velocities, and the linear momenta of bodies having equal velocities are proportional to their masses.</p> Signup and view all the answers

What is the effect of a force on the motion of an object?

<p>A force can change the speed or direction of an object's motion, or both.</p> Signup and view all the answers

What is the formula to calculate the rate of change of momentum?

<p>Rate of change of momentum = ∆p / ∆t</p> Signup and view all the answers

What is the difference between a force that changes the direction of motion of an object and a force that changes the shape of an object?

<p>A force that changes the direction of motion of an object is a force that acts perpendicular to the object's motion, while a force that changes the shape of an object is a force that acts on the object's surface, causing deformation.</p> Signup and view all the answers

What is the constant of proportionality in the equation F = k(dp/dt)?

<p>k is the constant of proportionality</p> Signup and view all the answers

What is the expression for instantaneous momentum?

<p>⃗⃗F = k.lim (∆p / ∆t) as ∆t → 0</p> Signup and view all the answers

What is the relationship between mass, velocity, and linear momentum of an object?

<p>The linear momentum of an object is directly proportional to its mass and velocity, and is represented by the equation P = mv.</p> Signup and view all the answers

What is the relation between momentum and mass and velocity?

<p>p = mv</p> Signup and view all the answers

What is the expression for force in terms of mass and velocity?

<p>⃗⃗F = k[d(mv)/dt]</p> Signup and view all the answers

Under what condition is the expression F = k(dp/dt) valid?

<p>When the velocity of the body is much less than the velocity of light</p> Signup and view all the answers

What is the physical quantity that is measured by the rate of change of momentum?

<p>Force</p> Signup and view all the answers

What is the tendency of a body to remain in its position of rest called?

<p>Inertia of rest</p> Signup and view all the answers

What is the net external force required for a body to have zero acceleration, according to Newton's first law of motion?

<p>Zero</p> Signup and view all the answers

What is the relationship between the mass of a body and its inertia?

<p>Directly proportional</p> Signup and view all the answers

What is the name of the law that states that every body continues in its state of rest or of uniform motion in a straight line unless it is compelled by some external force to change that state?

<p>Law of inertia or Newton's first law of motion</p> Signup and view all the answers

What type of inertia is observed when a bus takes a sharp turn and a person sitting in it experiences a force acting away from the curved path?

<p>Inertia of direction</p> Signup and view all the answers

What is the statement that describes the concept of acceleration in Newton's first law of motion?

<p>Acceleration can be non-zero only if there is a net external force acting on the body</p> Signup and view all the answers

What happens to a person standing in a bus when it suddenly starts moving forward?

<p>The person falls backward</p> Signup and view all the answers

What is the type of inertia observed when a moving bus suddenly stops and a person sitting in it falls forward?

<p>Inertia of motion</p> Signup and view all the answers

Study Notes

Change of Momentum

  • Change of momentum in time ∆t = ∆p
  • Rate of change of momentum = ∆p / ∆t

Newton's Second Law of Motion

  • Applied force ∝ rate of change of momentum
  • ∆p / ∆t = kF, where k is a constant of proportionality
  • Instantaneous momentum can be obtained by taking the limiting value of ∆t as 0

Force

  • Force is an external agency that changes or tends to change the state of rest or uniform motion of a body
  • Effects of force:
    • Can change the speed of an object
    • Can change the direction of motion of an object
    • Can change the shape of an object

Linear Momentum

  • Momentum of a body is defined as the product of mass and velocity of the body (P = mv)
  • It is a vector quantity with the same direction as the velocity of the body
  • SI unit is kgms⁻¹ and dimensional formula is [MLT⁻¹]

Properties of Linear Momentum

  • Linear momenta of bodies with equal masses are proportional to their velocities
  • Linear momenta of bodies with equal velocities are proportional to their masses

Inertia

  • Inertia is the inherent property of a body that makes it continue to be in the same state of rest or uniform motion
  • Inertia of a body is directly proportional to its mass
  • Types of inertia:
    • Inertia of rest
    • Inertia of motion
    • Inertia of direction

Newton's Laws of Motion

  • First law of motion:
    • Everybody continues in its state of rest or uniform motion in a straight line unless compelled by an external force to change that state
    • The law of inertia: a body continues in its state of rest or uniform motion unless an external force acts on it

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Description

This quiz covers Newton's second law of motion, which relates applied force to the rate of change of momentum. Test your understanding of this fundamental concept in physics.

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