Physics Kinematics and Dynamics Quiz
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Questions and Answers

What is the expression for elastic potential energy in a spring block system?

  • $\frac{1}{2}kx^{2}$ (correct)
  • $\frac{1}{2}kx^{4}$
  • $kx$
  • $kx^{3}$

What does the expression $\tau = \frac{dL}{dt}$ represent?

  • The net force acting on an object
  • The relationship between linear velocity and acceleration
  • The angular momentum of a rotating body
  • The relationship between torque and angular acceleration (correct)

What is the formula for centripetal acceleration in uniform circular motion?

  • $\frac{v^{2}}{r}$ (correct)
  • $\frac{2\pi}{T}$
  • $\frac{r}{v^{2}}$
  • $vr$

How is the maximum height in projectile motion determined?

<p>$\frac{v_{0}^{2}}{2g}$ (A)</p> Signup and view all the answers

What is the formula for gravitational potential energy between two particles?

<p>$\frac{-GMm}{r}$ (A)</p> Signup and view all the answers

What does the asymptotic behavior of the escape speed depend on?

<p>The mass of the earth and the distance from its center (D)</p> Signup and view all the answers

Which of the following best describes the law of conservation of momentum?

<p>The total momentum of a system remains constant if no external forces act on it. (A)</p> Signup and view all the answers

What is the expression for maximum horizontal range in projectile motion?

<p>$\frac{v_{0}^{2} \sin 2\theta}{g}$ (D)</p> Signup and view all the answers

Flashcards

Kinematics

The study of motion without considering the forces causing it.

Equation of Trajectory

A mathematical expression that describes the path of a projectile in motion, considering its initial velocity, launch angle, and acceleration due to gravity.

Time of Flight

The time it takes for a projectile to complete its upward and downward motion, returning to its initial height.

Maximum Horizontal Range

The maximum horizontal distance covered by a projectile before hitting the ground.

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Maximum Height

The highest vertical point a projectile reaches during its flight.

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Centripetal Acceleration

The acceleration directed towards the center of a circular path, responsible for keeping an object moving in a circle.

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Law of Conservation of Momentum

The total momentum of a closed system remains constant over time, meaning momentum is neither lost nor gained.

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Work Energy Theorem

A theorem stating that the work done on an object is equivalent to the change in its kinetic energy.

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Study Notes

Chapter Motion in a Straight Line

  • Derive three kinematic equations using calculus
  • Motion in a Plane
    • Projectile motion: derive trajectory equation, time of flight, max horizontal range, max height
    • Uniform circular motion: derive expression for centripetal acceleration

Chapter Laws of Motion

  • Conservation of Momentum
  • Banking of roads: derive expression for max permissible speed on a banked road

Chapter Work, Energy & Power

  • Work-energy theorem: derive using calculus
  • Vertical circle: obtain speed at lowest and highest points
  • Elastic potential energy in a spring block
  • Head-on elastic collision in one dimension: obtain final velocities of colliding objects

Chapter Rotational Motion

  • Derive T = dL/dt, L = Iω, T = Iα
  • Rotational Kinetic Energy
  • Kinetic Energy of an object rolling without slipping

Chapter Gravitation

  • Acceleration due to gravity (g) on Earth's surface, at altitude h, and depth d
  • Gravitational potential energy for two particle system
  • Escape speed
  • Orbital speed of a satellite

Chapter Fluids

  • Bernoulli's Theorem
  • Terminal velocity of a sphere through viscous fluid
  • Excess pressure inside a soap bubble/liquid drop
  • Ascent formula for capillary rise

Chapter Kinetic Theory of Gases

  • Gas pressure expression: P= 1/3 * N * vrms2
  • Kinetic interpretation of temperature: E = 3/2 KT
  • Prove Cp – Cv = R (Mayer's Formula)
  • Obtain Cp/Cv for monoatomic, diatomic, and polyatomic gases

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Description

Test your knowledge on key concepts from Physics, focusing on motion in a straight line, laws of motion, work and energy, rotational motion, and gravitation. This quiz covers derivations, equations, and principles that are essential for understanding classical mechanics. Perfect for students preparing for exams or wanting to reinforce their learning.

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