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Try this! An open box-car has a mass of 30,000 kg and is moving on a level railroad track at 4.00 m/s. 1,000 kg of water falls straight down into the box-car. The velocity of the box-car after the water falls into the box-car is

An open box-car has a mass of 30,000 kg and is moving on a level railroad track at 4.00 m/s. 1,000 kg of water falls straight down into the box-car. The velocity of the box-car after the water falls into the box-car is

  • Option 1)

    7.01 m/s.

  • Option 2)

    6.55 m/s.

  • Option 3)

    5.02 m/s.

  • Option 4)

    3.87 m/s.

 
Answers (1)
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As we discussed in

Perfectly Inelastic Collision -

v= \frac{m_{1}v_{1}+m_{2}v_{2}}{m_{1}+m_{2}}

- wherein

Two bodies stick together after the collision ,so there will be a final common velocity (v)

m_{1},m_{2}= masses

v_{1}=\: initial \: velocity \: mass\: m_{1}

v_{2}=\: initial \: velocity \: mass\: m_{2}

 

 30,000\times 4=31,000v

v=\frac{120000}{31000} = 3.87 ms^{-1}


Option 1)

7.01 m/s.

Incorrect

Option 2)

6.55 m/s.

Incorrect

Option 3)

5.02 m/s.

Incorrect

Option 4)

3.87 m/s.

Correct

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