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Answer:
the joined objects will have a speed of 5 5/11 m/s
Step-by-step explanation:
The momentum will be the same before and after the collision.
Before
(100 kg)(10 m/s) = 1000 kg·m/s . . . car's momentum
(1000 kg)(5 m/s) = 5000 kg·m/s . . . truck's momentum
Since the velocities are in the same direction, the total momentum is the sum of these:
1000 +5000 = 6000 . . . kg·m/s
__
After
The momentum is the same, and the total mass is 100 kg+1000 kg = 1100 kg. Then the velocity (v) is ...
(1100 kg)(v) = 6000 kg·m/s
v = 6000/1100 m/s = 5 5/11 m/s
The collision will cause the tangled objects to continue moving forward, but at a speed of 5 5/11 m/s.