Question

3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0
`{12{(m)/(s)}}` and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0
`{12{(m)/(s)}}`​

Answer 1

`\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }`

`\huge\underline{\sf{\red{Problem:}}}`

• 3. What is the velocity of a collision if a railway train with a mass of 6000 kg is moving to the right at 2.0
  `{12{(m)/(s)}}` and collides with an empty freight train with a mass of 3000 kg which ia moving to the left on the same track at 3.0
  `{12{(m)/(s)}}`

`\huge\underline{\sf{\red{Given:}}}`

`\quad\quad\quad\quad\sf{mass \: 1 \: = \: 6000 \: kg}`

`\quad\quad\quad\quad\sf{velocity\: 1\: = \: 2.0\: m/s}`

`\quad\quad\quad\quad\sf{mass \: 2\: = \: 3000 \: kg}`

`\quad\quad\quad\quad\sf{velocity\: 2\: = \: 3.0\: m/s}`

`\huge\underline{\sf{\red{Fomula:}}}`

`\quad\quad\quad\quad\boxed{\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}}`

`\huge\underline{\sf{\red{Solution:}}}`

`\quad\quad\quad\quad\sf{vf\: = \frac{ \small{m }\tiny{1} \small{v} \tiny{1} \small{ \: + \: m} \tiny{2} \small{v} \tiny{2}}{( \small{m} \tiny{1}\small{ \: + \: m} \tiny{2} \small{)} }}`

`\quad\quad\quad\quad\sf{vf\: = ((6000 \: kg)(2.0\:m/s)+(3000\:kg)(3.0\:m/s))/((6000\:kg)+(3000\:kg))}`

`\quad\quad\quad\quad\sf{vf\: = ((12,000kgm/s)+(9,000\:kgm/s))/((9,000kg))}`

`\quad\quad\quad\quad\sf{vf\: = (21,000 \: kgm/s)/(9000kg)}`

`\quad\quad\quad\quad\sf{vf\: = \frac{21,000 \cancel{ \red{ kg}}m/s}{9000 \cancel{ \red{kg}}}}`

`\quad\quad\quad\quad \sf{vf\: = \boxed{ \sf{ 2.33 \:m /s}}}`

`\huge\underline{\sf{\red{Answer:}}}`

`\huge\quad\quad \underline{ \sf{\boxed{ \sf{ \red{ 2.33 \:m /s}}}}}`

`\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }`

`\sf{\red{︎✰}ShineBrighter\red{︎✰}}`

`\sf{✍︎ C.Rose\red{❀}}`

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