A block of mass m is connected to another block of mass  by a spring ( massless ) of spring constant  K . The blocks are kept on a smooth horizontal plane.Initially the blocks are at rest and the spring is unstretched   Then a constant force  starts acting on the block of mass  to pull it. Find the force of the block of mass  m.

 

  • Option 1)

    \frac{MF}{\left ( m+M \right )}

  • Option 2)

    \frac{mF}{M}

  • Option 3)

    \frac{\left ( M+m \right )F}{m}

  • Option 4)

    \frac{mF}{(m+M)}

 

Answers (1)

As we learnt in

When 2 Blocks are in Contact -



F-f=m_{1}a

f=m_{2}a

- wherein

a=\frac{F}{m_{1}+m_{2}}

f=\frac{m_{2}F}{m_{1}+m_{2}}

 

 

 

: Acceleration \: of\: the\: system\: a= \frac{F}{m+M}

Force \: on \: block\: of \: mass\: m= ma= \frac{mF}{m+M}

Correct option is 4.


Option 1)

\frac{MF}{\left ( m+M \right )}

This is an incorrect option.

Option 2)

\frac{mF}{M}

This is an incorrect option.

Option 3)

\frac{\left ( M+m \right )F}{m}

This is an incorrect option.

Option 4)

\frac{mF}{(m+M)}

This is the correct option.

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