Math Problem Statement
09 Simulacro Global hasta ondas.pdf
151.12 KB
Solution
The document you uploaded appears to be a set of physics problems related to various topics like orbital mechanics, electric fields, waves, sound, and magnetic fields. Here are the main questions from the document:
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Orbital Mechanics Problem (A.1):
a) Calculate the height above the Earth's surface and the velocity of a small artificial satellite orbiting the Earth every 90 minutes.
b) Calculate the energy required to place the satellite into a new orbit 400 km above the surface. -
Electric Field and Work Problem (A.2):
a) Calculate the electric field vector at point A due to two charges placed at the vertices of a square.
b) Calculate the work done by the electric field to move a charge from point A to point B. -
Wave Propagation Problem (A.3):
a) Determine the wave equation and the velocity of vibration at a specific point on a sinusoidal wave.
b) Calculate the distance between two points with a phase difference of π/3 radians. -
Sound Intensity Problem (A.4):
a) Calculate the power of a shout emitted by a fakir.
b) Determine the distance to the audience and the number of spectators, given various sound measurements. -
Magnetic Field Problem (A.5):
a) Calculate the magnetic flux through a square with side 1 meter in a uniform magnetic field of 5 T.
b) Determine the relationship between electric and magnetic fields for uniform linear motion of a charged particle.
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Math Problem Analysis
Mathematical Concepts
Orbital Mechanics
Electric Fields
Wave Propagation
Sound Intensity
Magnetic Flux
Formulas
Orbital velocity formula: v = sqrt(GM/R)
Gravitational energy formula: U = -GMm/R
Electric field formula: E = kQ/r^2
Wave equation: y(x,t) = A sin(kx - ωt)
Decibel intensity formula: L = 10 log(I/I0)
Magnetic flux formula: Φ = B · A · cos(θ)
Theorems
Newton's Law of Universal Gravitation
Work-Energy Theorem
Maxwell's Equations
Suitable Grade Level
Undergraduate Physics
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