Posted by **Danielle** on Wednesday, March 28, 2012 at 1:13am.

Two toy locomotives approach each other along the same line, and upon collision both stop dead still. One locomotive has three times the speed of the other and the sum of their masses is 4.48 kg.

What is the mass of the faster locomotive?

What is the mass of the faster locomotive?

- Physics -
**drwls**, Wednesday, March 28, 2012 at 6:10am
Since they come to a dead stop, they had equal and opposite momenta beforer the collision

Let M1 be the mass of the faster toy locomotive (speed V1) and M2 be mass of the slow the slow one (with speed V1/3).

M2 = 4.48 - M1

M2*V1/3 = M1*V1 = (4.48 -M1)*V1/3

V1 cancels out.

M1 = (4.48 -M1)/3

(4/3)M1 = 1.4933 kg

M1 = 1.12 kg

M2 = 3.36 kg

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