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Question: A 61,000-kg Rocky Mountain Double big rig is traveling at 0.5 m/s. About what velocity must a 730-kg compact electric vehicle have to achieve the same amount of momentum as the Rocky Mountain Double?
Momentum is calculated by the equation p=mv, where p is momentum, m is mass and v is velocity. First, calculate the momentum of the Rocky Mountain Double: p = mv p = (61,000 kg)(0.5 m/s) p = 30,500 kg*m/s Next, find the velocity that the compact electric vehicle would need to achieve this momentum: Set the momentum of the Rocky Mountain Double equal to the momentum the compact electric vehicle needs, and solve for v (velocity): 30,500 kg*m/s = (730 kg)v v = 30,500 kg*m/s / 730 kg v ≈ 41.78 m/s So, the compact electric vehicle would need to travel at a velocity of approximately 41.78 m/s to achieve the same amount of momentum as the Rocky Mountain Double.
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