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

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

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

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

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

    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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