A car heading north collides at an intersection with a truck heading east. If th

Question

A car heading north collides at an intersection with a truck heading east. If they lock together and travel at 28m/s at 15 A car heading north collides at an intersection with a truck heading east. If they lock together and travel at 28m/s at 15 A car heading north collides at an intersection with a truck heading east. If they lock together and travel at 28m/s at 15 A car heading north collides at an intersection with a truck heading east. If they lock together and travel at 28m/s at 15 A car heading north collides at an intersection with a truck heading east. If they lock together and travel at 28m/s at 15

Explanation / Answer

we use conservation of momentum before the collision, the total y component of momentum is m v where m is the mass of the car and v is the velocity we are looking for the final y component of momentum is 2m(28sin15) and we know this equals the initial y momentum because of conservation of momentum therefore, we have m v = 2m(28sin15) (the 2m term arises because the cars of equal mass lock together and form a comined mass of 2m) v=56sin15=14 m/s

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