Sheila and her toboggan have a total mass of 45 kg. At one point during her toboggan ride down a frictionless hill, she is 10.0m higher than the bottom of the hill and moving at a speed of 8.0m/s. (5 marks)
a) How much gravitational potential energy does she have?
b) How much kinetic energy does she have?
c) How much energy does she have in total?
d) How fast will Sheila be moving when she reaches the bottom of the hill? e) How high is the hill?

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  1. a) m g h ... 45 kg * 9.8 m/s^2 * 10.0 m = ? Joules

    b) 1/2 m v^2 = 1/2 * 45 kg * (8.0 m/s)^2 = ? Joules

    c) add the two energies

    d) her total energy will be all kinetic
    ... v = √[2 * (total energy) / m]

    e) m g h = total energy
    ... h = (total energy) / (m * g)

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