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A 1000kg car travelling 25miles per second east has a collision with a 1500 kg van initially at rest using conservation of linear momentum what is their common velocity immediately after the collision?
Wiki User
∙ 14y ago
Be careful when you type in units!!
Because the question asks, "what is their "common" velocity immediately after the collision?", I assume they are stuck together. Momentum = Mass * velocity
Think about a heavy object sitting still. Could you move this heavy object by throwing a light object at the heavy object, very fast? Is it possible? That is the theory behind momentum.
Momentum is conserved, so the total momentum of both objects before collision = the total momentum of both objects after collision.
Ma* Va (initial) + Mb*Vb (initial) = (Ma + Mb) * Vtotal(final)
Ma = 1000 kg
Va (initial) = 25 m/s
Mb = 1500 kg
Vb (initial) = 0 (at rest)
(Ma+ Mb) 2500 kg
Vtotal(final) = ?
Substitute the values of the variables into the equation and solve for
Ma* Va (initial) + Mb*Vb (initial) = (Ma + Mb) * Vtotal(final)
(1000 kg) * (25 m/s) + (1500 kg) * ( 0 m/s) = (2500 kg) * Vtotal(final)
Vtotal(final) = (37,500 Kg*m/s ) ÷ (2500 kg)
Vtotal(final) = answer is between 10 m/s and 20 m/s.
Wiki User
∙ 14y ago
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