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yrelhan4

A truck is moving with a uniform velocity of 10 m/s.A leak occurs in the water tank of the truck at the rate of 2 kg/s.What is the speed of the truck after 50 seconds if the mass of the truck was 100 kg and mass of water in the tank initially was 100 kg?

  • one year ago
  • one year ago

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  1. Mashy
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    can you tell me what would be the mass of the truck after 5o seconds??

    • one year ago
  2. yrelhan4
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    100kgs.. all of sand will leak. right?

    • one year ago
  3. yrelhan4
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    water i am sorry..

    • one year ago
  4. eSpeX
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    Yes, you are losing 2kg/s so in 50 seconds you will lose 2kg/sec * 50sec = 100kg

    • one year ago
  5. armanfantasy
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    I dont no if it can be solved because there is two variable P(momentum) and v(velocity) in the equation

    • one year ago
  6. eSpeX
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    Well, since the problem gives the truck as moving with a uniform velocity, you know that it is not accelerating, meaning that it is not speeding up or slowing down. So after 50 seconds its momentum has changed but by definition its velocity has not.

    • one year ago
  7. armanfantasy
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    so the velocity is the same 10m/s but the momentum will be 1000 Ns

    • one year ago
  8. eSpeX
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    That is how I read the question, yes.

    • one year ago
  9. yrelhan4
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    but the asnwer given is 15m/s ..

    • one year ago
  10. yrelhan4
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    @eSpex also the velcoty cannot be 10m/s. since no external force is acting on the system conservation of momentum has to stand. i think the question is wrongly drafted.

    • one year ago
  11. Mashy
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    NO.. THE QUESTION is right.. use conservation of momentum!! initial mass = 200kg and initial velocity = 10m/s hence initial momentum = 2000kgm/s final mass = 100kg and final velocity = v .. but final momentum = 2000kgm/s itself hence 100v = 2000 or v = 20m/s!

    • one year ago
  12. Mashy
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    but when the water leaks the leaking water also has some momentum.. so in that case i really dunno how to solve the problem !

    • one year ago
  13. yrelhan4
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    @mashy will the system accelerate?

    • one year ago
  14. Mashy
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    it depends..i mean for example when the water leaks.. if i said that since the water has its inertia.. after it is seperated from the truck it continues to move along with the truck at same speed.. then the velocity wouldn't change!!.. and truck wouldn't accelerate

    • one year ago
  15. yrelhan4
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    the word uniform velocity in the sumin the first line is before the leak occurs, right?

    • one year ago
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