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Q.

2 bodies of different masses of 2 kg and 4 kg are moving with accelertions 20 m/s2 and 10 m/s2 towards each other due to mutual gravitational attraction. What is the acceleration of their centre of mass.

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a

5 m/s2

b

6 m/s2

c

8 m/s2

d

Zero

answer is D.

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Detailed Solution

m1 =2kg,  m2 =4kg,  a→1=20  m/s2,   a→2=−10  m/s2a→cm =  m1a→1 + m2a→2 m2 + m2 =  2  ×  20 −4  ×  102+4 =  0  m/s2.
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