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jenyasd209 [6]
3 years ago
10

A skier descends a mountain at an angle of 35.0º to the horizontal. If the mountain is 235 m long, what are the horizontal and v

ertical components of the skier's displacement?
Physics
1 answer:
neonofarm [45]3 years ago
6 0
Total displacement along the length of mountain is given as
L = 235 m
angle of mountain with horizontal = 35 degree
now we will have horizontal displacement as
x = L cos35
x = 235 cos35 = 192.5 m
similarly for vertical displacement we can say
y = L sin35
y = 235 sin35 = 134.8 m
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Explanation:

El chorro de agua exhibe un movimiento parabólico, dado que este tiene una inclinación inicial y la única aceleración es debida a la gravitación terrestre. Las ecuaciones cinemáticas que modelan el fenómeno son:

Distancia horizontal (en metros)

x = x_{o} + v_{o}\cdot t \cdot \cos \theta

Donde:

x_{o} - Posición horizontal inicial, medida en metros.

t - Tiempo, medido en segundos.

v_{o} - Velocidad inicial, medida en metros por segundo.

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Distancia vertical (en metros)

y = y_{o} + v_{o}\cdot t \cdot \sin \theta + \frac{1}{2}\cdot g \cdot t^{2}

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y_{o} - Posición vertical inicial, medida en metros.

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Partiendo de la primera ecuación, se despeja el tiempo:

t = \frac{x - x_{o}}{v_{o}\cdot \cos \theta}

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t = \frac{31\,m-0\,m}{\left(40\,\frac{m}{s} \right)\cdot \cos 33^{\circ}}

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La altura máxima se calcula por sustitución directa de términos en la segunda ecuación. Si y_{o} = 0\,m, v_{o} = 40\,\frac{m}{s}, t = 0.924\,s y g = -9.807\,\frac{m}{s^{2}}, entonces:

y = 0\,m + \left(40\,\frac{m}{s} \right)\cdot (0.924\,s)\cdot \sin 33^{\circ} + \frac{1}{2}\cdot \left(-9.807\,\frac{m}{s^{2}} \right) \cdot (0.924\,s)^{2}

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