Author: dexter
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Irodov Problem 3.73 — Capacitor Energy: Mechanical Work
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.73 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving capacitor energy: mechanical work. Charge parameters and geometry as specified in Ir Given Information See problem statement for all given quantities.…
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HC Verma Chapter 7 Problem 20 — Ball swinging in horizontal circle (conical pendulum: height)
Problem Statement A ball hangs from a string of length 1.5 m. It is swung in a horizontal circle so that the string makes 53° with the vertical. Find the radius, speed, and period. ($g = 10$ m/s², $\sin53°=0.8$, $\cos53°=0.6$) Given Information See problem statement for all given quantities. Physical Concepts & Formulas This problem…
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Problem 2.132 — Wien’s Displacement Law
Problem Statement Solve the kinematics problem: Solve the kinematics problem: The sun’s surface temperature is $T=5800\ \text{K}$. Find the peak wavelength of solar radiation. Wien’s displacement law: $\lambda_{max} T = b$, where $b = 2.898\times10^{-3}\ \text{m·K}$. $$\lambda_{max} = \frac{b}{T} = \frac{2.898\times10^{-3}}{5800} = 5.0\times10^{- Given Information See problem statement for all given quantities. Physical Concepts &…
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Irodov Problem 3.72 — Capacitance: Two Concentric Shells
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.72 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving capacitance: two concentric shells. Charge parameters and geometry as specified in I Given Information See problem statement for all given quantities.…
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Irodov Problem 3.72 — Capacitance: Two Concentric Shells
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.72 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving capacitance: two concentric shells. Charge parameters and geometry as specified in I Given Information See problem statement for all given quantities.…
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Problem 2.131 — Stefan-Boltzmann Law: Radiation Power
Problem Statement Solve the work-energy problem: Solve the work-energy problem: A black body of area $A=0.01\ \text{m}^2$ is at $T=1000\ \text{K}$. Find the total radiated power. Stefan-Boltzmann law: $P = \sigma_{SB} A T^4$, where $\sigma_{SB} = 5.67\times10^{-8}\ \text{W/m}^2\text{K}^4$. $$P = 5.67\times10^{-8}\times0.01\times(1000)^4 = 5.67\tim Given Information $\sigma_{SB} = 5.67\times10^{-8}\ \text{W/m}^2\text{K}$ Physical Concepts & Formulas This problem…
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HC Verma Chapter 7 Problem 19 — Angular kinematics: number of revolutions
Problem Statement Solve the kinematics problem: Solve the kinematics problem: A wheel decelerates from 600 rpm to rest in 30 s. Find the angular deceleration and number of revolutions. $\omega_0 = 600 \times 2\pi/60 = 20\pi$ rad/s; $\alpha = \omega_0/t$; $N_{rev} = \theta/(2\pi)$ Step 1: $\omega_0 = 20\pi$ rad/s; $\alpha = 20\pi/30 = 2\pi/3$ rad/…
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Problem 2.130 — Cooling of a Body: Newton’s Law
Problem Statement Solve the Newton’s Laws / mechanics problem: Solve the Newton’s Laws / mechanics problem: A body cools from $T_0=100°\text{C}$ to $T_\infty=20°\text{C}$ (ambient) following Newton’s law $dT/dt=-k(T-T_\infty)$ with $k=0.05\ \text{min}^{-1}$. How long to cool to $50°\text{C}$? Newton’s law of cooling (linearized Stefan-Boltzmann for small temper Given Information See problem statement for all given quantities.…
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Irodov Problem 3.71 — Capacitance of Isolated Sphere
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.71 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving capacitance of isolated sphere. Charge parameters and geometry as specified in Irodo Given Information See problem statement for all given quantities.…
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Irodov Problem 3.71 — Capacitance of Isolated Sphere
Problem Statement Solve the capacitor/capacitance problem: Solve the capacitor/capacitance problem: Irodov Problem 3.71 (Section 3.1: Constant Electric Field in Vacuum): This problem applies the fundamental laws of electrostatics to a specific charge configuration involving capacitance of isolated sphere. Charge parameters and geometry as specified in Irodo Given Information See problem statement for all given quantities.…