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4 years ago

A planet orbits a start with the path shown below.

Physics

1 answer:

kvv77 [185]4 years ago

4 0

PART a)

As we know that gravitational potential energy is given by the formula

$U = -\frac{Gm_1m_2}{r}$

here we can see that gravitational potential energy inversely varies with the distance

so here when distance from the sun is minimum then magnitude of gravitational potential energy is maximum while since it is given with negative sign so its overall value is minimum at that position

So gravitational potential energy is minimum at the nearest point and maximum at the farthest point

PART b)

Since we know that sum of kinetic energy and potential energy is constant here

so the points of minimum potential energy is the point where kinetic energy is maximum which means speed is maximum

So here speed is maximum at the nearest point

Part C)

since gravitational potential energy inversely varies with distance so it's graph will be like hyperbolic graph with distance

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Determine the magnitude of the resultant force and its direction using both the parallelogram and Cartesian vector notation meth

Alika [10]

Answer:

F = 1494.52 N, θ = 44º

Explanation:

For the sum of vectors by the parallelogram method, see attached, the vectors are drawn, the parallelogram is completed and a vector is drawn from the origin of the two vectors to the end point of the rectangle, this is the resulting vector.

The attachment shows this roughly.

For the Cartesian coordinate method, each vector is decomposed into its components, they are added algebraically and then the resulting vector is composed in the form of a module and angles

we use trigonometry to decompose the vectors.

The coordinate system can be seen in the attachment

sin θ = y / R

cos θ = x / R

y = R sin θ

x = R cos θ

Vector 1

module F₁ and angle β₁ = 50

sin 50 = $\frac{F_{1y} }{F_1}$

cos 50 = $\frac{F_{1x} }{F_1}$

$F_{1y}$ = F₁ sin 50

F₁ₓ = F₁ cos 50

F_{1y} = 600 sin 50 = 459.63 N

F₁ₓ = 600 cos 50 = 385.67 N

Vector 2

modulus F₂ = 900N, angle β₂ = 40

F_{2y} = 900 sin 40 = 578.51 N

F₂ₓ = 900 cos 40 = 689.44 N

we find the resultant of each component

F_{y} =F_{1y} + F_{2y}

F_{y} = 459.63 + 578.51

F_{y} = 1038.14 N

Fₓ = F₁ₓ + F₂ₓ

Fₓ = 385.67 + 689.44

Fₓ = 1075.11 N

We use the Pythagorean theorem to find the modulus of the resultant

F = Fₓ² + $F_{y}^2$

F = √(1075.11² + 1038.14²)

F = 1494.52 N

we use trigonometry for the angle

tan θ = F_y / Fₓ

θ = tan⁻¹ (F_y / Fₓ)

θ = tan⁻¹ (1038.14 / 1075.11)

θ = 44º

8 0

3 years ago

Chich expression correctly describes force using Sl units

Zinaida [17]

Answer:1 N = 1 kg·m/s2

Explanation:

5 0

3 years ago

Which of the following lists arranges the colors of light from highest energy to lowest energy?

Afina-wow [57]

So, for the visible range, the colors are arranged in order of increasing frequency like this: Red < Orange < Yellow < Green < Blue < Indigo < VIolet.

3 0

3 years ago

Cual es la fuerza electrica sobre el electrón (-1.6 x 10¹⁹c) de un atomo de hidrógeno ejercida por el protón (1.6 x 10¹⁹c)? Supó

kkurt [141]

Answer:

La fuerza eléctrica es -8.2*10⁻⁸ N

Explanation:

El enunciado correcto es: ¿Cuál es la fuerza eléctrica sobre el electrón (-1.6 x 10⁻¹⁹c) de un átomo de hidrógeno ejercida por el protón (1.6 x 10⁻¹⁹c)? Supóngase que la distancia entre el electrón y el protón es de 5.3 x 10⁻¹¹ m

Entre dos o más cargas aparece una fuerza denominada fuerza eléctrica. Su valor depende del valor de las cargas y de la distancia que las separa, mientras que su signo depende del signo de cada carga. Las cargas del mismo signo se repelen entre sí, mientras que las de distinto signo se atraen.

La fuerza eléctrica con la que se atraen o repelen dos cargas puntuales en reposo es directamente proporcional al producto de las mismas e inversamente proporcional al cuadrado de la distancia que las separa:

$F=K*\frac{q1*q2}{d^{2} }$

donde:

F es la fuerza eléctrica de atracción o repulsión. En el Sistema Internacional (S.I.) se mide en Newtons (N).
q1 y q2 son lo valores de las dos cargas puntuales. En el S.I. se miden en Culombios (C).
d es el valor de la distancia que las separa. En el S.I. se mide en metros (m).
K es una constante de proporcionalidad llamada constante de la ley de Coulomb. Depende del medio en el que se encuentren las cargas. Para el vacío K tiene un valor aproximadamente de 9*10⁹ $\frac{N*m^{2} }{C^{2} }$ .

En este caso:

K= 9*10⁹ $\frac{N*m^{2} }{C^{2} }$

q1= -1.6*10⁻¹⁹ C

q2= 1.6*10⁻¹⁹ C

d= 5.3*10⁻¹¹ m

Reemplazando:

$F=9*10^{9} \frac{N*m^{2} }{C^{2} }*\frac{(-1.6*10^{19} C)*(1.6*10^{19} C)}{(5.3*10^{-11} )^{2} }$

Resolviendo:

F= -8.2*10⁻⁸ N

La fuerza eléctrica es -8.2*10⁻⁸ N

6 0

3 years ago

Galileo proved the superiority of the heliocentric theory over the geocentric theory, but given our knowledge of the universe to

Naddika [18.5K]

Answer:

Explanation:

Galileo proved the superiority of the heliocentric theory over the geocentric theory . Heliocentric theory changed the centre of universe from the earth to the sun . According to this theory , the solar system or the universe revolves around the sun .

But the present knowledge of universe considers sun as one of billions of stars present in the universe , with each star behaving as sun with its own solar system . The universe is made of cluster of stars with each cluster having their own centre around with they revolve . These clusters are called galaxy . Sun is a part of cluster called milky way . Sun along with other star of this galaxy revolves around the centre of its galaxy which is a super massive star .

Hence the old heliocentric theory does not fit into the present framework of universe by the scientist.

5 0

3 years ago