Math Problem Statement

09 Simulacro Global hasta ondas.pdf

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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:

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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