A1 Kg mass moving at 5 m/s makes a center line collision with a 7 Kg...

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A1 Kg mass moving at 5 m/s makes a center line collision with a 7 Kg mass initially at rest. If 3 the collision is elastic de

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Answer 1

Answer #1

by the linear momentum conservation

suppose speed of mass 1 kg = v1 and mass 7 kg = v2 after collision

Pi =Pf

1*5 + 7*0 = 1*v1 + 7*v2

v₁ + 7v₂ = 5 ........ i

v₁ = 5- 7v₂ plug this value in ii

by energy conservation

1/2*1*5^2 = 1/2*1*v1^2 +1/2*7*v2^2

v₁^2 + 7v₂^2 = 25 ...... ii

]from equation i and ii

v₁ = 3.75 m/s in left

v₂ = 1.25 m/s in right

fraction of energy tranferred =

7 kg mass energy / Total energy before collision

= 1/2*7*1.25^2 / ( 1/2*1*5^2) =

= 0.4375

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A1 Kg mass moving at 5 m/s makes a center line collision with a 7 Kg...

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