# Two masses m1 = 5kg and m2 = 4.8 kg  tied to a string are hanging over a light frictionless pulley. What is the acceleration of the masses when lift free to move?( g = 9.8 m/s2 ) Option 1) 0.2 m/s2 Option 2) 9.8 m/s2 Option 3) 5  m/s2 Option 4) 4.8 m/s2

As we learnt in

Motion of connected blocks over pulley -

Equation of motion for

Equation of Motion for

- wherein

$\frac{a}{g}= \frac{(m_{1}-m_{2})}{(m_{1}+m_{2})}= \frac{\left ( 5-4.8 \right )}{\left ( 5+4.8 \right )}= \frac{0.2}{9.8}$

$or\: \: \: a= g\times \frac{0.2}{9.8}= \frac{9.8\times 0.2}{9.8}= 0.2 ms^{-2}$

Correct option is 1.

Option 1)

0.2 m/s2

This is the correct option.

Option 2)

9.8 m/s2

This is an incorrect option.

Option 3)

5  m/s2

This is an incorrect option.

Option 4)

4.8 m/s2

This is an incorrect option.

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