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solve Three! carts of masses mi = 5.00 kg, m2-g 50 kg, and ms-3.00 kg move on a

ID: 1356539 • Letter: S

Question

solve


Three! carts of masses mi = 5.00 kg, m2-g 50 kg, and ms-3.00 kg move on a frictionless, horizontal track with speeds o vi 4.00 m/'s to the right, v 3.00 m/s to the right, and v- 3.50 m/s to the eft, as shown below. Vekero couplers make the carts stick together after colliding. t (a) Find the final velocity of the train of three carts magnitude direction [. Select- m/s (b) Does your answer require that all the carts collide and stick together at the same moment? O Yes No What if they collide in a different order?

Explanation / Answer


Assume right side as positive and left side as negative.

Use conservation of momentum:
Initial momentum = final momentum
m1*v1i + m2*v2i + m3*v3i = (m1+m2+m3)*vf
5*4 + 9.5*3 + 3*(-3.5) = (5+9.5+3)*vf
38= 17.5*vf
vf= 2.17 m/s
Positive sign shows that they are moving to right

a)
17.5 m/s
right

b)
yes

c)
Let say m2 and m3 collise 1st,then m2 will start moving to left and m3 to right.
In this case m1 and m3 willnever get to collide.

Answer of final velocity will be different