Posted by Lena on Friday, April 17, 2009 at 4:55am.
The 45N force accelerates both masses at a rate
a = 45/(3 + 12) = 3 m/s^2
The taut string between X and Y applies an accelerating force to block Y that equals f = m a = 12 kg * 3 m/s^2 = 36 N. The reaction force upon block X is 36 N in the opposite direction (West).
You are correct that Newton's third law is involved
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