Final answer:
Rex and Tex board the bumper cars at the local carnival. Rex is moving at full speed of 2.05 m/s when he rear-ends Tex who is at rest in his path. Tex and his 125kg car lunge forward at 1.40m/s. The post-collision speed of Rex and his 125kg car is 1.025 m/s.
Step-by-step explanation:
Given the mass of Rex's car (125kg) and his initial velocity (2.05 m/s), we can calculate his initial momentum using the formula:
Initial momentum (Pi) = Mass (m) * Velocity (v)
Pi = 125 kg * 2.05 m/s = 256.25 kg*m/s
After the collision, both Rex and Tex's car move together at a final velocity.
To calculate this final velocity, we use the conservation of momentum:
Initial momentum (Pi) = Final momentum (Pf)
256.25 kg*m/s = (Mass of Rex's car + Mass of Tex's car) * Final velocity
Final velocity = 256.25 kg*m/s / (125 kg + 125 kg)
= 1.025 m/s
Therefore, the post-collision speed of Rex and his 125kg car is 1.025 m/s.