A watt equals

se lanza un cuerpo desde el origen con velocidad horizontal de 40 m/s, y con un ángulo de 60º. calcular la máxima altura y el al

EastWind [94]

Answer:

1. $h = 244.8 m$

2. $x = 564.8 m$

Explanation:

1. La altura máxima se puede calcular usando la siguiente ecuación:

$v_{f}^{2} = v_{0}^{2} - 2gh$ (1)

Where:

$v_{f_{y}}$ : es la velocidad final = 0 (en la altura máxima)

$v_{0_{y}}$ : es la velocidad inicial horizontal en "y"

g: es la gravedad = 9.81 m/s²

h: es la altura máxima =?

La velocidad incial en "y" se puede calcular de la siguiente manera:

$tan(\theta) = \frac{v_{0_{y}}}{v_{0_{x}}}$

$v_{0_{y}} = tan(60)*40 m/s = 69.3 m/s$

Resolviendo la ecuación (1) para "h" tenemos:

$h = \frac{v_{0_{y}}^{2}}{2g} = \frac{(69.3 m/s)^{2}}{2*9.81 m/s^{2}} = 244.8 m$

2. Para calcular el alcance horizontal podemos usar la ecuación:

$x = v_{x}*t$

Primero debemos encontrar el tiempo cuando la altura es máxima ( $v_{f_{y}}$ = 0).

$v_{f_{y}} = v_{0_{y}} - gt$

$t = \frac{v_{0_{y}}}{g} = \frac{69.3 m/s}{9.81 m/s^{2}} = 7.06 s$

Ahora, como el tiempo de subida es el mismo que el tiempo de bajada, el tiempo máximo es:

$t_{m} = 2*7.06 s = 14.12 s$

Finalmente, el alcance horizontal es:

$x = 40 m/s*14.12 s = 564.8 m$

Espero que te sea de utilidad!

7 0

2 years ago

When a brick is dropped from the roof of a house, it lands on the ground with a speed v. What will the speed at ground level be

Nina [5.8K]

Twice as much by the first brick

4 0

2 years ago

A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to th

boyakko [2]

Answer:

8.76762 m

Explanation:

T = Time period = 5.94 seconds

g = Acceleration due to gravity = 9.81 m/s²

L = Length of pendulum = Height of tower

Time period is given by

$T=2\pi \sqrt{\dfrac{L}{g}}\\\Rightarrow T^2=4\pi^2\dfrac{L}{g}\\\Rightarrow L=\dfrac{T^2g}{4\pi^2}\\\Rightarrow L=\dfrac{5.94^2\times 9.81}{4\pi^2}\\\Rightarrow L=8.76762\ m$

The height of the tower is 8.76762 m

8 0

2 years ago

1. Looking at the planet vs. eccentricity table, which two planets have the greatest eccentricity?

AVprozaik [17]

Answer:

Pluto & Mercury

Explanation:

Pluto's eccentricity is 0.248

Mercury's eccentricity is 0.206

6 0

2 years ago

Consider a system to be two train cars traveling toward each other. What is the total momentum of the system before the train ca

Brut [27]

Let say the two train cars are of masses $m_1$ and $m_2$

now if the speed of two cars are $v_1$ and $v_2$

then we can say that the momentum of two cars before they collide is given by

$P = m_1v_1 - m_2v_2$

here two cars are moving in opposite direction so we can say that the net momentum is subtraction of two cars momentum.

Now since in these two car motion there is no external force on them while they collide

So the momentum of two cars are always conserved.

hence we can say that the final momentum of two cars will be same after collision as it is before collision

$P = m_1v_1 - m_2v_2$

5 0

2 years ago

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