Author: dexter
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Irodov Problem 1.270
Problem Statement A uniform disc of mass m and radius R rotates about its axis. A braking torque $M = \alpha$ $\omega$ acts (proportional to angular velocity). Find $\omega$ (t) starting from $\omega$ $_0$. Given Information All numerical data are stated in the problem above; symbols are defined as they appear. Physical Concepts & Formulas…
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HC Verma Chapter 11 Problem 46
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 $h = 2e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…
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HC Verma Chapter 25 Problem 27
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 27.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…
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HC Verma Chapter 11 Problem 46
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 $h = 2e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…
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HC Verma Chapter 38 Problem 35
Problem Statement A circular coil of $N = 50$ turns and radius $R = 5\,\text{cm}$ is in a field that changes by $\Delta B = 2.0\,\text{T}$ in $\Delta t = 0.1\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 50$ turns $R = 0.05\,\text{m}$, area $A = \pi…
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Irodov Problem 1.269
Problem Statement A flywheel of moment of inertia I is driven by a motor providing constant torque N. A braking torque $N_0$ opposes rotation (due to friction). Find the maximum angular velocity. Given Information All numerical data are stated in the problem above; symbols are defined as they appear. Physical Concepts & Formulas These problems…
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HC Verma Chapter 11 Problem 45
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 $h = 1.5e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…
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HC Verma Chapter 11 Problem 45
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 $h = 1.5e+06\,\text{m}$ above the surface, (c) the escape velocity from the Earth’s surface, and (d) the orbital speed of…
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HC Verma Chapter 25 Problem 26
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 26.) Given Information $m = 0.50\,\text{kg}$ — mass of water $c = 4186\,\text{J/(kg·K)}$ — specific heat of water $\Delta T = 30\,\text{K}$ —…
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HC Verma Chapter 38 Problem 34
Problem Statement A circular coil of $N = 40$ turns and radius $R = 25\,\text{cm}$ is in a field that changes by $\Delta B = 1.5\,\text{T}$ in $\Delta t = 0.5\,\text{s}$. The plane is perpendicular to the field. Find the induced emf. Given Information $N = 40$ turns $R = 0.25\,\text{m}$, area $A = \pi…