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Question: A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a friction...

A block A of mass 7 kg is placed on a frictionless table. A thread tied to it passes over a frictionless pulley and carries a body B of mass 3 kg at the other end. The acceleration of the system is (given g = 10 ms2)\left. m s ^ { - 2 } \right)

A

100 ms2100 \mathrm {~ms} ^ { - 2 }

B

3ms23 m s ^ { - 2 }

C

10 ms210 \mathrm {~ms} ^ { - 2 }

D

30 ms230 \mathrm {~ms} ^ { - 2 }

Answer

3ms23 m s ^ { - 2 }

Explanation

Solution

a=(m2m1+m2)ga = \left( \frac { m _ { 2 } } { m _ { 1 } + m _ { 2 } } \right) g =(37+3)10=3 m/s2= \left( \frac { 3 } { 7 + 3 } \right) 10 = 3 \mathrm {~m} / \mathrm { s } ^ { 2 }