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Mathematics In Physics Test - 6

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Mathematics In Physics Test - 6
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  • Question 1
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    Solution

     

  • Question 2
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    For the figure -

    Solution

    Triangle law of vector addition

     

  • Question 3
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    Solution

     

  • Question 4
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    A vector A points, vertically upward and, B points towards north. The vector product A×B is -

    Solution

     

  • Question 5
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    Solution

    = √29 units

     

  • Question 6
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    The displacement of a particle is given by y = a + bt + ct2−dt4. The initial velocity and initial acceleration, respectively, are: 

    Solution

     

  • Question 7
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    The momentum is given by p=4t+1, the force at t=2s is- 

    Solution

    F = dp / dt

    = 4 N

    So force is constant always

     

  • Question 8
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    If the momentum of a particle is given by P=(180-8t) kg m/s, then its force will be- 

    Solution

     

  • Question 9
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    If f(x) = x2 − 2x + 4, then f(x) has:

    Solution

     

  • Question 10
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    A particle is moving along x-axis. The velocity v of particle varies with its position x as v = 1/x. Find velocity of particle as a function of time t given that at t=0, x=1 

    Solution

     

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