i) Two objects, each of mass 2.5 kg are moving in the same straight line but in opposite
directions. The velocity of each object is 4.5 m s−1
before the collision during which they stick
together. What will be the velocity of the combined object after collision?
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Here is your required answer
Explanation:
Given,
Two objects of mass 2.5kg
m₁ = m₂ = 2.5kg
Initial Velocity
U₁ = U₂ = 4.5 ms⁻¹
Then total mass of combined system,
M = m₁ + m₂
= 2.5 + 2.5
= 5 kg
Let the velocity of the combined system after the collision be v
Let us apply Law of Conservation of Linear Momentum,
2.5 × 4.5 - 2.5 × 4.5 = 5 × V
0/5 = V
V = 0 ms⁻¹
Hence the velocity of combined object after the collision will be 0 m/s
Hope it helps you
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