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Sagot :
Conservation of momentum: the combined momentum of the car and the barrier before the collision must be the same of that after the barrier.
Let's first calculate the momentum before.
[tex]momentum=mv[/tex]m: mass in kg; v: velocity in m/s
Initially, the two objects are separate, so we must calculate the initial momentum of both separately.
[tex]initialCarMomentum=mv=8000*14=112000kg\frac{m}{s}[/tex][tex]initialBarrierMomentum=0[/tex](since v = 0)
Therefore, combined momentum is 112000 kgm/s.
After the collision, the momentum must be the same, but both objects are moving at the same speed since they are stuck together. Therefore, we can combine their masses.
[tex]112000=(combinedMass)(combinedVelocity)[/tex]combinedVelocity = 5 m/s, we can solve for combinedMass by simply dividing both sides by 5.
112000/5 = 22400 = combinedMass
The combined mass is equal to the car mass plus the barrier mass. We can therefore solve for the barrier mass.
[tex]22400kg=8000kg+barrierMass[/tex]barrierMass = 22400 - 8000 = 14400 kg
The barrier's mass is 14400 kg.
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