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Laws Of Motion

Question
CBSEENPH11016667

Two bodies of masses M and m are placed in contact with each other on frictionless surface. Does the contact force depend upon the body on which force is applied? Explain.

Solution
Yes, contact force depends upon the body on which force is applied.

Let us apply the force F on system.
The acceleration of system is given by, 
straight a space equals space fraction numerator straight F over denominator straight M plus straight m end fraction

The acceleartion acting on the system is irrespective of whether force is applied on mass M or m. 
If force F is applied on mass m then contact force F1 is, 
                   F subscript 1 equals M a equals fraction numerator M over denominator M plus m end fraction F 
If force is applied on Mass M then contact force F2 is, 
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