The masses of 10 kg and 20 kg respectively are connected by massless spring as shown in the figure. A force of 200 N acts on the 20kg mass. At the instant shown, the 10 kg mass has acceleration of 12 m/s². What is the acceleration of 20 kg mass ?

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The 10 kg mass has acceleration a 1 ​ = 12 m / s 2 . The spring force on the 10 kg mass is F s ​ = m 1 ​ a 1 ​ = 10 k g × 12 m / s 2 = 120 N . This same spring force acts on the 20 kg mass. For the 20 kg mass: F − F s ​ = m 2 ​ a 2 ​ . 200 N − 120 N = 20 k g × a 2 ​ . 80 N = 20 k g × a 2 ​ . a 2 ​ = 20 k g 80 N ​ = 4 m / s 2 .

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