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Momentum and Kinetic Energy Comparison in Moving Objects

Explore the relationship between momentum and kinetic energy in moving objects based on Newton’s 2nd Law. Calculate and compare KE and momentum of two objects to understand their characteristics. Discover conservation laws in an elastic collision.

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Momentum and Kinetic Energy Comparison in Moving Objects

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  1. MOMENTUM (p) is defined as the product of the mass and velocity-is based on Newton’s 2nd Law F = ma F = mΔv t Ft=mΔv IMPULSE MOMENTUM

  2. CHARACTERISTICS OF A MOVING OBJECT A moving object has both kinetic energy and momentum. KE = ½ mass x velocity2 P = mass x velocity

  3. Ex. Compare the KE and momentum of two objects with the following characteristics: m1 = 60 kg v1 = 4 m/s m2 = 6 kg v2 = 40 m/s Solving for momentum, p: P1 = m1 v1 = (60 kg) (4 m/s) = 240 kg-m/s P2 = m2v2 = (6 kg) (40 m/s) = 240 kg-m/s Solving for KE: KE1 = ½ m1 v12 = ½ (60 kg) (4 m/s)2 = 480 J KE2 = ½ m2v22 = ½ (6 kg) (40 m/s)2 = 4800 J Therefore object 2 has the same momentum but 10 times the KE of object 1

  4. Both KE and momentum are conserved in an elastic collision.

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