Irodov Solutions

Author: dexter

  • Irodov Problem 1.268

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    Problem Statement A solid cylinder and a hollow cylinder (thin shell) of same mass and radius roll from rest down an incline of the same height h. Which reaches the bottom first? Find each speed. Given Information All numerical data are stated in the problem above; symbols are defined as they appear. Physical Concepts &…

  • HC Verma Chapter 11 Problem 44

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    Problem Statement Treat the Earth as a uniform sphere of mass $M = 6.0\times10^{24}\,\text{kg}$ and radius $R = 6.4\times10^{6}\,\text{m}$. Find (a) the acceleration due to gravity at the surface, (b) its value at a height $h = 1e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…

  • HC Verma Chapter 11 Problem 44

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    by

    dexter
    in

    Problem Statement Treat the Earth as a uniform sphere of mass $M = 6.0\times10^{24}\,\text{kg}$ and radius $R = 6.4\times10^{6}\,\text{m}$. Find (a) the acceleration due to gravity at the surface, (b) its value at a height $h = 1e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…

  • HC Verma Chapter 25 Problem 25

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    dexter
    in

    Problem Statement How much heat is required to raise the temperature of $0.50\,\text{kg}$ of water by $30\,\text{K}$? Take the specific heat of water as $4186\,\text{J/(kg·K)}$. (HC Verma, Chapter 25 — Calorimetry, Problem 25.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…

  • HC Verma Chapter 38 Problem 33

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    dexter
    in

    Problem Statement A circular coil of $N = 30$ turns and radius $R = 20\,\text{cm}$ is in a field that changes by $\Delta B = 1.0\,\text{T}$ in $\Delta t = 0.4\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 30$ turns $R = 0.20\,\text{m}$, area $A = \pi…

  • Irodov Problem 1.267

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    dexter
    in

    Problem Statement A uniform disc of mass m and radius R rolls down an incline of angle $\alpha$ without slipping. Find the acceleration and the friction force. Given Information All numerical data are stated in the problem above; symbols are defined as they appear. Physical Concepts & Formulas These problems apply the rotational analogue of…

  • HC Verma Chapter 11 Problem 43

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    by

    dexter
    in

    Problem Statement Treat the Earth as a uniform sphere of mass $M = 6.0\times10^{24}\,\text{kg}$ and radius $R = 6.4\times10^{6}\,\text{m}$. Find (a) the acceleration due to gravity at the surface, (b) its value at a height $h = 5e+05\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…

  • HC Verma Chapter 11 Problem 43

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    by

    dexter
    in

    Problem Statement Treat the Earth as a uniform sphere of mass $M = 6.0\times10^{24}\,\text{kg}$ and radius $R = 6.4\times10^{6}\,\text{m}$. Find (a) the acceleration due to gravity at the surface, (b) its value at a height $h = 5e+05\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…

  • HC Verma Chapter 25 Problem 24

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    by

    dexter
    in

    Problem Statement How much heat is required to raise the temperature of $0.50\,\text{kg}$ of water by $30\,\text{K}$? Take the specific heat of water as $4186\,\text{J/(kg·K)}$. (HC Verma, Chapter 25 — Calorimetry, Problem 24.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…

  • HC Verma Chapter 38 Problem 32

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    by

    dexter
    in

    Problem Statement A circular coil of $N = 20$ turns and radius $R = 15\,\text{cm}$ is in a field that changes by $\Delta B = 0.5\,\text{T}$ in $\Delta t = 0.3\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 20$ turns $R = 0.15\,\text{m}$, area $A = \pi…