Your old toy train from pre-school days consists of three cars: M1 = 0.3 kg, M2

Question

Your old toy train from pre-school days consists of three cars: M1 = 0.3 kg, M2 = 0.2 kg, and M3 = 0.1 kg. You pull the cars with a force F = 2 N. If friction can be neglected, what are the tensions in the two ropes A (connecting M1 and M2) and B (connecting M2 and M3)? Question 3 options: A) TA = 1 N, TB = 1 N B) TA = 1.33 N, TB = 0.67 N C) TA = 0.67 N, TB = 0.33 N D) TA = 1 N, TB = 0.33 N E) TA = 2 N, TB = 2 N F) TA = 1 N, TB = 0.67 N G) TA = 0.67 N, TB = 1 N H) TA = 0.67 N, TB = 0.67 N I) TA = 1.33 N, TB = 0.33 N

Explanation / Answer

A - B = M2a equation for M3: B = M3a add these together F = (M1 + M2 +M3)a a = 2/(0.3+0.2+0.1)=3.33 so B =0.1*3.33=.33 and A = M2a + B = 0.2*3.33 + .33 = .66 +.33 = 1 so answer is D)

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