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183_notes:examples:sledding [2014/10/13 05:21] – pwirving | 183_notes:examples:sledding [2014/10/22 04:06] (current) – pwirving | ||
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- | ===== Example: | + | ===== Example: |
A little girl is riding her sled on a hill. If she starts a distance d up the hill, which makes an angle θ with the horizontal, how far will she travel along the flat snowy ground? | A little girl is riding her sled on a hill. If she starts a distance d up the hill, which makes an angle θ with the horizontal, how far will she travel along the flat snowy ground? | ||
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{{course_planning: | {{course_planning: | ||
- | Need to find f_{1} & f_{2}f_{1} & f_{2} | + | Need to find $f_{1}$ & $f_{2}$ |
To find F1 we can say that the sum of the forces in the x direction are equal to ma1 But we don't need this because we know that f1=μkN. | To find F1 we can say that the sum of the forces in the x direction are equal to ma1 But we don't need this because we know that f1=μkN. | ||
- | $\sum{F_{x}} = f_{1} - mgsinθ = ma_{1} | + | $\sum{F_{x}} = f_{1} - mgsinθ = ma_{1}$ |
The sum of the forces in the y direction we do need because this allows us to express N. | The sum of the forces in the y direction we do need because this allows us to express N. | ||
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+ | E=γmc2 |