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12th grade Physics

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"If a skier coasts down a slope at an angle of 24 degrees below the horizontal, what is her acceleration if the force of friction is negligible?"

I must have done this question 15 times, and still can't get the right anwser. Can anyone help me?

  • 12th grade Physics -

    say she has mass m
    there is a gravitational force down on her = m g
    that force has a component normal (perpendicular) to the snow)=mg cos 24
    there is an equal and opposite force up from the snow = mg cos 24
    because there is no acceleration into or out of the snow.
    HOWEVER, that gravitational force has another component down the slope = m g sin 24
    There is no equal and opposite force to resist that because she is free to accelerate down the slope.
    so
    F = m a = m g sin 24
    so
    a = g sin 24
    g is about 9.8 m/s^2
    and sin 24 is about .407

  • 12th grade Physics -

    Thank you so much; once I drew my slope levels correctly, it was no problem. Thanks again!

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