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| 183_notes:examples:sledding [2014/10/13 05:22] – 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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| To find $F_{1}$ we can say that the sum of the forces in the x direction are equal to $ma_{1}$ But we don't need this because we know that $f_{1}=μ_{k}N$. | To find $F_{1}$ we can say that the sum of the forces in the x direction are equal to $ma_{1}$ But we don't need this because we know that $f_{1}=μ_{k}N$. | ||
| - | $\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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| + | $E = γmc^2$ | ||