A 7100-kg railroad car travels alone on a level frictionless track with a constant speed of 16.0 m/s . A 2650-kg load, initially at rest, is dropped onto the car.What will be the car's new speed?Express your answer to three significant figures and include the appropriate units.

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Asked Dec 2, 2019
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A 7100-kg railroad car travels alone on a level frictionless track with a constant speed of 16.0 m/s . A 2650-kg load, initially at rest, is dropped onto the car.

What will be the car's new speed?
Express your answer to three significant figures and include the appropriate units.
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Expert Answer

Step 1

Given information:

Mass of the rail road car (mr) = 7100 kg

Initial speed of the rail road car (ur) = 16 m/s

Mass of the load (mr) = 2650 kg

Initial speed of the load (ul) = 0 m/s

Let “v” be the final velocity of the car.

Step 2

According to law of conservation of momentum, the initial and fin...

myur +miu = (m, + m)v
Substitute the corresponding values, we get:
113600
7100 (16)0 = (7100 +2650)v -> v =
11.65 m/s
9750
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myur +miu = (m, + m)v Substitute the corresponding values, we get: 113600 7100 (16)0 = (7100 +2650)v -> v = 11.65 m/s 9750

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