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ANTONII [103]
3 years ago
14

The kinetic energy of a roller coaster is 100 joules. The potential energy of the same coaster is 100 joules. What is the mechan

ical energy of the coaster?
Physics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer/Explanation:

The mechanical energy is 200 joules. Mechanical energy is determined by adding the total kinetic energy by the total potential energy.

M = kp

100 + 100 = 200

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Block B is attached to a massless string of length L = 1 m and is free to rotate as a pendulum. The speed of block A after the c
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Complete Question

The diagram for this question is shown on the first uploaded image

Answer:

The minimum velocity of A is  v_A= 4m/s

Explanation:

From the question we are told that

    The length of the string is  L = 1m

     The initial speed of block A is u_A

     The final speed of block A is  v_A = \frac{1}{2}u_A

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Since block B at initial is at rest

       m_A u_A  = m_Bv_B + m_A \frac{u_A}{2}

      m_A u_A  - m_A \frac{u_A}{2} = m_Bv_B

          m_A \frac{u_A}{2} = m_Bv_B

  making v_B the subject of the formula

             v_B =m_A \frac{u_A}{2 m_B}

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               v_B =\frac{7 u_A}{4}  

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         T + mg = m \frac{v^2_{B}'}{L}

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The energy at  bottom of the vertical circle   =  The energy at the top of

                                                                                the vertical circle

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            v_A = \sqrt{\frac{80mgL}{49m} }

substituting values

          v_A = \sqrt{\frac{80* 9.8 *1}{49} }

              v_A= 4m/s

     

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