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Question

A block of mass 1 kg is connected by a light string passing over two smooth pulleys placed on a smooth horizontal surface as shown. Another block of 1 kg is connected to the other end of the string then acceleration of the system and tension in the string are

A
5 ms2, 5 N
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B
1 ms2, 1 N
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C
1 ms2, 5 N
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D
5 ms2, 10 N
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Solution

The correct option is A 5 ms2, 5 N
Considering free body diagram,
mgT=ma (for hanging mass)
and T=ma
(for mass lying on surface)
Adding mg=(m+m)a
or a=mg2m
a=g2=102=5 ms2
and T=1×5=5 N

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