Question

# Two masses $$10 kg$$ and $$20 kg$$ are connected with a massless spring as shown in the figure. A force of $$200 N$$ is acting on the mass $$20 kg$$. When the acceleration of $$10 kg$$ mass is $$12m/s^2$$, the acceleration of $$20 kg$$ mass is:

A
12m/sec2
B
4m/sec2
C
10m/sec2
D
zero

Solution

## The correct option is B $$4 m/sec^2$$given $$a_2 = 12 m/s^2$$from equation (1) and (2)$$200- 10a_2 = 20a_1$$$$200 - 120 = 20a_1$$$$\Rightarrow a_1=\dfrac {80}{20}=4 m/s^2$$Physics

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