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Two bodies of masses 4kg and 5kg are acted upon by the same force. If the acceleration of lighter body is 2ms^{-2}, acceleration of heavier body is:

  • Option 1)

    4.2 ms^{-2}

  • Option 2)

    3.6 ms^{-2}

  • Option 3)

    2.4 \, ms^{-2}

  • Option 4)

    1.6\, ms^{-2}

 

Answers (1)

As we discussed 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}}

 

 F=m_1a_1=4\times 3=12N

a_2=\frac{F}{m_2}=\frac{12}{5}=2.4 ms^{-2}

when same force applied on both bodies tried together

a_2=\frac{F}{m_1+m_2}=\frac{12}{4+5}=\frac{12}{9}=1.33 ms^{-2}


Option 1)

4.2 ms^{-2}

Incorrect

Option 2)

3.6 ms^{-2}

Incorrect

Option 3)

2.4 \, ms^{-2}

Incorrect

Option 4)

1.6\, ms^{-2}

Correct

Posted by

Vakul

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