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