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Answer :
Using the conservation of momentum, we calculated that Adam's velocity before the collision was 2.375 m/s to the east.
To find Adam's velocity before the collision, we use the principle of conservation of linear momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.
The momentum of Adam (115 kg) before the collision will be equal to the combined momentum of Adam and Bob (115 kg + 133 kg) after the collision minus Bob's momentum before the collision.
Momentum before the collision:
(mass of Adam) * (velocity of Adam) + (mass of Bob) * (velocity of Bob) = (total mass after collision) * (velocity after collision)
Substitute the known values:
115 kg * v + 133 kg * (-1.59 m/s) = (115 kg + 133 kg) * 0.250 m/s
Calculate Adam's velocity (v):
115 kg * v = (248 kg * 0.250 m/s) - (133 kg * -1.59 m/s)
Solve for v:
v = (62 kg * m/s + 211.47 kg * m/s) / 115 kg
v = 2.375 m/s
Adam's velocity before the collision was 2.375 m/s to the east.
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