A block of mass 0.50kg is moving with a speed of 2.00 m/s on a smooth surface . it strikes another mass of 1kg and then they move together as a single body . the energy loss during the collision is
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By momentum conservation
0.5×2=1.5×v
v=32m/sec
Initial Energy =21×0.5×(2)2
=1 joule .
Final Energy =21×1.5×(32)2
=1/3 joule .
Loss= Initial-Final
=1−31=32
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Explanation:- From law of conservation of momentum , we have
- m₁v₁ + m₂v₂ = (m₁+m₂)v
Given :- m₁ = 0.50kg , V₁ = 2m/s
m₂ = 1kg , v₂ = 0 (at rest )
0.5 × 2 + 1× 0 = 1.5×v
[assumed that 2nd body is at rest ]
- ⟹ v = 2/3
- ∴ ∆K = Kᵢ- Kf
- = 1.5× (2/3)²/2 - 0.5× (2²)/2 = - 2/3J
- =-: 0.67J
So , energy most is 0.66 J . Answer .
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