Using Newton’s 2 nd Law to solve problems can be complicated.
is defined as the product of the mass and velocity -is based on Newton’s 2 nd Law
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Transcript of is defined as the product of the mass and velocity -is based on Newton’s 2 nd Law
-is defined as the product of the is defined as the product of the mass and velocitymass and velocity-is based on Newton’s 2-is based on Newton’s 2ndnd Law Law
F = mF = m aa
F = mF = m ΔΔvv
tt
FF tt == mm ΔΔvv IMPULSE
MOMENTUM
CHARACTERISTICS OF A CHARACTERISTICS OF A MOVING OBJECTMOVING OBJECT
A moving object has both A moving object has both kinetic energy and kinetic energy and momentum.momentum.
KE = ½ mass x velocityKE = ½ mass x velocity22
P = mass x velocityP = mass x velocity
Ex. Compare the KE and momentum of two Ex. Compare the KE and momentum of two objects with the following characteristics: objects with the following characteristics:
mm11 = 60 kg v = 60 kg v11 = 4 m/s = 4 m/s m m22 = 6 kg v = 6 kg v22 = 40 = 40 m/sm/s
Solving for momentum, p:Solving for momentum, p:
PP11 = m = m11 v v11 = (60 kg) (4 m/s) = 240 kg-m/s = (60 kg) (4 m/s) = 240 kg-m/s
PP22 = = mm22vv22 = = (6 kg) (40 m/s)(6 kg) (40 m/s) = = 240 kg-m/s240 kg-m/s
Solving for KE:Solving for KE:
KEKE11 = ½ m = ½ m11 v v11 22 = ½ (60 kg) (4 m/s) = ½ (60 kg) (4 m/s)22 = 480 J = 480 J
KEKE22 = = ½ m½ m22vv22 22 = = ½ (6 kg) (40 m/s)½ (6 kg) (40 m/s)22 = = 4800 J4800 J
Therefore object 2 has the same momentum Therefore object 2 has the same momentum but 10 times the KE of object 1but 10 times the KE of object 1
Both KE and momentum are conserved in an elastic collision.