Three identical blocks each of mass M are along a frictionless table and a force F is acting as shown. Which of the following statements is false ?

Options

A. The net vertical force on block A is zero
B. The net force on block A is `(F)/(3)`
C. The acceleration of block C is `(F)/(3M)`
D. The force of interaction between A and B is `(2F)/(3)`

Answer

B, C, D

Explanation

The acceleration of system in rightward direction is
`a=(F)/(m_(A)+m_(B)+m_(C ))=(F)/(3M)`
For A,
From force diagram of A,
Net force on A = `F - F_(1)`
`=m_(1)a=(MF)/(3M)=(F)/(3)`
The force interaction between A and B is
`F_(1)=F-(F)/(3)=(2F)/(3)`