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Anvisha [2.4K]
2 years ago
7

4. Un móvil viaja en línea recta con una velocidad media de 1200 cm/s durante 9 s, y luego con velocidad media de 480 cm/s duran

te 7 s, siendo ambas velocidades del mismo sentido: a) ¿cuál es el desplazamiento total en el viaje de 16 s? B) ¿cuál es la velocidad media del viaje completo?
Physics
1 answer:
katrin [286]2 years ago
7 0

Answer:

A) El desplazamiento total del viaje es 14160 centímetros.

B) La velocidad media del viaje completo es 885 centímetros por segundo.

Explanation:

A) El desplazamiento es el producto de la velocidad media por el tiempo. El desplazamiento total es la suma de desplazamientos asociados a cada velocidad media, entonces:

x = \left(1200\,\frac{cm}{s}\right)\cdot (9\,s)+ \left(480\,\frac{cm}{s} \right)\cdot (7\,s)

x = 14160\,cm

El desplazamiento total del viaje es 14160 centímetros.

B) La velocidad media del viaje es el desplazamiento total dividido por el tiempo total, es decir:

\bar v = \frac{14160\,cm }{16\,s}

\bar v = 885\,\frac{cm}{s}

La velocidad media del viaje completo es 885 centímetros por segundo.

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three girls were pushing the same car with a net force of 450 N [N48°E]. Two of the girls were pushing with forces of 310 N [N25
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The net force is the vector

∑ F = (450 N) (cos(42°) i + sin(42°) j)

and two of the forces provided by the girls are

F₁ = (310 N) (cos(115°) i + sin(115°) j)

F₂ = (250 N) (cos(285°) i + sin(285°) j)

Then the force provided by the third girl is the vector

F₃ = ∑ F - F₁ - F₂

F₃ = ((450 N) cos(42°) - (310 N) cos(115°) - (250 N) cos(285°)) i

… … … + ((450 N) sin(42°) - (310 N) sin(115°) - (250 N) sin(285°)) j

F₃ ≈ (400.722 N) i + (261.635 N) j

So, the third girl provided a force of magnitude

||F₃|| = √((400.722 N)² + (261.635 N)²) ≈ 478.572 N ≈ 480 N

pointing in a direction

arctan((261.635 N)/(400.722 N)) ≈ 33.1409° ≈ 33°

relative to East which refers to 0°; that is, 33° N of E or E33°N. Since the other forces are given relative to North or South, we can write this direction as N57°E.

So, the third girl pushed with force 480 N [N57°E].

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