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Standard XII

Physics

Inertia

A block A o...

Question

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

100 m s^{- 2}

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3 m s^{- 2}

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10 m s^{- 2}

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30 m s^{- 2}

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Solution

The correct option is B $3 m s^{- 2}$
For a body $A :$
Tension $=$ Mass $\times$ acceleration
Let acceleration $= a$
Tension $= m a = 7 a$
For a body $B :$
Force $=$ Mass $\times$ acceleration
$M a = m g - T$
$3 a = 3 \times 10 - 7 a$
$3 a + 7 a = 30$
$10 a = 30$
$a = 30 / 10$
$a = 3 m / s ²$
Hence,
option $(B)$ is correct answer,.

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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 ms−2)

The correct option is B 3 ms−2For a body A:Tension = Mass × acceleration Let acceleration =aTension =ma=7aFor a body B:Force = Mass × accelerationMa=mg−T3a=3×10−7a3a+7a=3010a=30a=30/10a=3m/s²Hence,option (B) is correct answer,.

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