The first hill of a roller coaster is 42 meters high. The top of the second hill of the one coaster is 33 meters high. The mass of the

Question

The first hill of a roller coaster is 42 meters high. The top of the second hill of the one
coaster is 33 meters high. The mass of the roller coaster is 34,500 kg.
a. What is the velocity at the top of the second hill? Ignore friction and assume the
velocity at the top of the first hill is O m/s.
b. What type(s) of energy does the roller coaster have at the top of the second hill?

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Thanh Thu 5 years 2021-08-20T05:03:21+00:00 2 Answers 38 views 0

Answers ( )

    0
    2021-08-20T05:04:40+00:00

    Answer:

    Explanation:

    The first hill of a roller coaster is 42 meters high. The top of the second hill of the roller coaster is 33 meters high. The mass of the roller coaster is 34,500 kg

    0
    2021-08-20T05:05:09+00:00

    Answer:

    Part a)

    Speed of the roller coaster is

    v = 13.3 m/s

    Part b)

    Since it is moving with non zero speed at some height above the ground

    So we will have

    Kinetic energy + Potential energy Both

    Explanation:

    As we know that there is no friction on the path

    So here we can use mechanical energy conservation law

    so we will have

    Part a)

    U_i  + K_i = U_f + K_f

    mgh + 0 = \frac{1}{2}mv^2 + mgH

    34500(9.81)(42) = \frac{1}{2}(34500)v^2 + 34500(9.81)(33)

    v = 13.3 m/s

    Part b)

    Since it is moving with non zero speed at some height above the ground

    So we will have

    Kinetic energy + Potential energy Both

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