Math Problem Statement
a 60 kg object moves north at 1200 m/s and collides with an 1800 kg object moving west at 15 m/s. what is the velocity of the combined masses just after impact? Answer
Solution
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Math Problem Analysis
Mathematical Concepts
Conservation of Momentum
Vector Addition
Inelastic Collision
Formulas
Momentum formula: p = mv
Velocity after collision (x-axis): v_x = p_x / m_total
Velocity after collision (y-axis): v_y = p_y / m_total
Resultant velocity: v_resultant = sqrt(v_x^2 + v_y^2)
Angle of resultant velocity: θ = tan⁻¹(v_y / v_x)
Theorems
Conservation of Momentum
Suitable Grade Level
Grades 11-12
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