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A system of three blocks is kept at rest on horizontal surface as shown in the figure. All the surfaces are smooth and string and pulley are massless

                                       
 Questions Based on this write up

Q1: If system is released to move then centre of mass of system :
       (a)
will remain at rest
       (b)
will remain at rest
       (c) will move vertically up
       (d) will move vertically down.

Q2: If system is released to move then :
       (a) kinetic energy of system will remain conserved.
       (b)
Linear momentum of system will remain conserved.
       (c)
mechanical energy of system will remain conserved.
       (d)
potential energy of system will remain conserved.
 

Q3: The horizontal acceleration required by heavier block so
that all three blocks can  move together, is:
       (a) g/4              (b) g/2
       (c) g/3               (d) g

Q4: If acceleration required in question No. 3  is given to heavier block then force exerted by pulley on the heavier blocks is :
        (a) 2mg                  (b) 4mg       
        (c)
(mg)2
1/2             (d) (mg)51/2
 

Q5: When system is released to move than horizontal force
required to maintain the heavier block at rest is :
       (a) 2mg       (b) 4mg       (c) mg/2       (d) mg

 
                       
 
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