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ashna

  • 3 years ago

A motor boat is rising towards N at 25 Km/hr and the water current in that region is 10 km /hr in the direction of 60° east of south . Find the resultant velocity of the boat .

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  1. ashna
    • 3 years ago
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    @waterineyes you know this sum ?

  2. waterineyes
    • 3 years ago
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    I don't...

  3. ashna
    • 3 years ago
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    you know some one in open study who can help me ?

  4. waterineyes
    • 3 years ago
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    I think @sauravshakya can help you here..

  5. ashna
    • 3 years ago
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    i sent him a msg .. no reply :/

  6. waterineyes
    • 3 years ago
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    But he is online.. Let me try..

  7. ashna
    • 3 years ago
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    okay !

  8. waterineyes
    • 3 years ago
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    Which chapter is this ??

  9. ashna
    • 3 years ago
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    motion in a plane.

  10. waterineyes
    • 3 years ago
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    Yeah I think you will get help here..

  11. ashna
    • 3 years ago
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    thanks waterineyes :)

  12. waterineyes
    • 3 years ago
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    @rsadhvika do you know how to solve this ??

  13. waterineyes
    • 3 years ago
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    |dw:1344771481322:dw|

  14. waterineyes
    • 3 years ago
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    Here A and B are the vectors.. A is representing the boat and B is representing Water...

  15. ashna
    • 3 years ago
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    okay .. understood !

  16. waterineyes
    • 3 years ago
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    Now We have to find Resultant first.. For that we first make our figure look like parallelogram..

  17. ashna
    • 3 years ago
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    okay

  18. waterineyes
    • 3 years ago
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    Wait I draw the figure more clearly for you..

  19. ashna
    • 3 years ago
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    its okay .. i can understand :)

  20. waterineyes
    • 3 years ago
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    |dw:1344771854805:dw|

  21. ashna
    • 3 years ago
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    |dw:1344771963782:dw|

  22. ashna
    • 3 years ago
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    is that the parellelogram we need ?

  23. waterineyes
    • 3 years ago
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    Now make it look like parallelogram: |dw:1344771989674:dw| Getting this ??

  24. ashna
    • 3 years ago
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    yeah got it !

  25. waterineyes
    • 3 years ago
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    Now can you draw diagonal of the parallelogram ??

  26. ashna
    • 3 years ago
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    |dw:1344772085729:dw|

  27. ashna
    • 3 years ago
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    wrong ?

  28. waterineyes
    • 3 years ago
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    Great.. This is the resultant of A and B vector..

  29. ashna
    • 3 years ago
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    okay :)

  30. ashna
    • 3 years ago
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    what is theta here ?

  31. waterineyes
    • 3 years ago
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    You must mention the direction also..

  32. ashna
    • 3 years ago
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    what direction ? direction of vector ?

  33. waterineyes
    • 3 years ago
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    |dw:1344772213529:dw|

  34. ashna
    • 3 years ago
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    okay !

  35. waterineyes
    • 3 years ago
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    Since boat has higher velocity then boat will go in upward direction.. Getting ??

  36. ashna
    • 3 years ago
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    yeah ..and if lower velocity , down ?

  37. waterineyes
    • 3 years ago
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    Yeah that will depend upon velocity of water..

  38. ashna
    • 3 years ago
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    okay !

  39. waterineyes
    • 3 years ago
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    Have you studied about the formula: \[Resultant (R)= \sqrt{A^2 + B^2 + 2AB \cos(\theta)}\]

  40. ashna
    • 3 years ago
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    yeah i have !

  41. waterineyes
    • 3 years ago
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    Here A is just velocity of boat that is : 25 and B is just velocity of water that is : 10 But you have to find theta first.. Right ??

  42. ashna
    • 3 years ago
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    yeah .. how do we find theta ?

  43. waterineyes
    • 3 years ago
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    Theta is basically angle between the two vectors A and B.. Here what is the angle between A and B.. Can you locate on the drawing ??

  44. ashna
    • 3 years ago
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    |dw:1344772636899:dw|

  45. ashna
    • 3 years ago
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    i don't know !

  46. ashna
    • 3 years ago
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    |dw:1344772698399:dw|

  47. waterineyes
    • 3 years ago
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    That is the angle between A and the resultant.. We have to locate angle between A and B..

  48. waterineyes
    • 3 years ago
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    Don't worry @ashna I draw it..

  49. ashna
    • 3 years ago
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    okay !

  50. waterineyes
    • 3 years ago
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    |dw:1344772809427:dw| Getting?? That is the angle between A and B..

  51. ashna
    • 3 years ago
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    yeah !

  52. waterineyes
    • 3 years ago
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    Can you find its value ??

  53. waterineyes
    • 3 years ago
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    Make a try..

  54. ashna
    • 3 years ago
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    180 - 60 ?

  55. ashna
    • 3 years ago
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    120 ?

  56. waterineyes
    • 3 years ago
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    Great.. A medal for you..

  57. ashna
    • 3 years ago
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    :)

  58. waterineyes
    • 3 years ago
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    Can you tell cos(120) = ??

  59. ashna
    • 3 years ago
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    yea .. cos (90+30) - sin 30 - 1/2 correct ?

  60. waterineyes
    • 3 years ago
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    I wish I could give you more medals.. Yes that is very correct.. Now can you use that formula ??

  61. ashna
    • 3 years ago
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    okay i'll try !

  62. waterineyes
    • 3 years ago
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    There is no need to go fast.. I can wait.. Just take your time and post your answer here..

  63. waterineyes
    • 3 years ago
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    I think this site is going to be down soon..

  64. waterineyes
    • 3 years ago
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    If my reply does not come @ashna then don't worry . Just post the answer or doubt here I will check it later on..

  65. waterineyes
    • 3 years ago
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    What happened @ashna

  66. ashna
    • 3 years ago
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    okay .. now i can type .. some net problem i guess.. sorry for the delay .. i got square root 475 !

  67. ashna
    • 3 years ago
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    91.7945

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