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KiRa [710]
3 years ago
13

Two planetoids with radii R1 and R2 and local accelerations g1 and g2 are separated by a centre-to-centre distance D, and are me

mbers of a simple two-body system. A rocket is located on planetoid 1 and is scheduled to launch from this planetoid to a point between the planetoids where the net gravitational force on the rocket by the two planetoids is zero. At what distance from the centre of planetoid 1 is the zero gravitational point? Choose R1 = 1400m, R2 = 1000m, g1 = 7.5m/s2, g2 = 5.3m/s2 and D = 4800m. [5 points]
Physics
1 answer:
balu736 [363]3 years ago
5 0

Answer:

Therefore, the gravitational zero points between two planetoids lie at a distance of 3000 m from the center of planetoid 1.

Explanation:

From Newton’s gravitation formula, the expression of the mass (M) of the planet of radius R is given as,

F_{G} = mg_{1}\\ \left ( \frac{GMm}{{R_{1}}^{2}} \right )=mg_{1}\\\\M= \frac{gR^{2}}{G}\rightarrow \left ( 1 \right )

Let's take x to be the distance of the zero gravitational points from the center of the planetoid 1.

Thus, the distance of the zero gravitational points from the center of the planetoid 2 is (D-x).

At zero gravitational point, the gravitational force between the planets and the rocket must be equal.

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Which of the following is an abiotic limiting factor for a plant population in an ecosystem?
Ludmilka [50]

Correct answer is Availability of soil minerals.

There are two types of limiting factors that affect plant population in a ecosystem. They are:

  1. Biotic
  2. Abiotic

Biotic factors includes food, diseases etc. Such as Invasive weed species, seed dispersal by wind, disease-causing fungal spores are examples of biotic limiting factor.

Abiotic factors include sunlight, temperature and chemical environment. The availability of soil mineral is an example of abiotic limiting factor. Growth of plant population depends on availability of soil minerals.

8 0
3 years ago
What is an example of speed?
svlad2 [7]
<span>The speed is a scalar quantity which by definition is the distance traveled per unit of time. Unit for speed is: km/h. (how many km the object is moved for one hour) or mph (miles per hour).
From the given option D. A dog runs an average 8 mph. (this means that a dog is moving 8 miles per hour).

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5 0
3 years ago
At noon, ship A is 140 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 25 km/h. How fast (in
Luba_88 [7]

Answer:

The rate of change of distance between the two ships is 18.63 km/h

Explanation:

Given;

distance between the two ships, d = 140 km

speed of ship A = 30 km/h

speed of ship B = 25 km/h

between noon (12 pm) to 4 pm = 4 hours

The displacement of ship A at 4pm = 140 km - (30 km/h x 4h) =

140 km - 120 km = 20 km

(the subtraction is because A is moving away from the initial position and the distance between the two ships is decreasing)

The displacement of ship B at 4pm = 25 km/h x 4h = 100 km

Using Pythagoras theorem, the resultant displacement of the two ships at 4pm is calculated as;

r² = a²   +  b²

r² = 20²  +  100²

r = √10,400

r = 101.98 km

The rate of change of this distance is calculated as;

r² = a²   +  b²

r = 101.98 km, a = 20 km, b = 100 km

2r(\frac{dr}{dt} ) = 2a(\frac{da}{dt} )  + 2b(\frac{db}{dt} )\\\\r(\frac{dr}{dt} ) = a(\frac{da}{dt} )  + b(\frac{db}{dt} )\\\\101.98(\frac{dr}{dt} ) = 20(-30 )  + 100(25 )\\\\101.98(\frac{dr}{dt} ) = -600 + 2,500\\\\101.98(\frac{dr}{dt} ) = 1900\\\\\frac{dr}{dt}  = \frac{1900}{101.98} = 18.63 \ km/h

5 0
3 years ago
A team of scientists is working to determine if a meteor created a landform.
liubo4ka [24]

Answer:

geology , astronomy

Explanation:

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  • <u>The study of the lithosphere, hydrosphere, and the biosphere and takes a holistic view of the earth.</u>
  • Thus  for a team of contents that are working to locates and fond out the exact cause of the meteor that led to the formation of land-forms will relate to the application of the geology and the astronomy.
3 0
4 years ago
The ____ is a wedge-shaped thickening in the middle layer of the eyeball that controls the shape of the lens.
Yanka [14]

The ciliary body is a wedge-shaped thickening in the middle layer of the eyeball that controls the shape of the lens.

The ciliary body is a section of the middle layer of the eye's wall. It is located behind the iris.  It includes a ring-shaped muscle that modifies the curvature of the lens when the eye focuses.

Additionally, it creates the transparent liquid that fills the area between the iris and the cornea. Aqueous humor is the name of this fluid in the eye.

It also contains the ciliary muscle, which modifies the lens' shape when your eyes focus on a close object.

The anterior pars plicata and the posterior pars plana are two parts of ciliary body. The anterior vitreous comes into contact with the pars plana, which creates a smooth surface. The ciliary processes, which are 70–80 radiating ridges, are produced by the pars plicata.

To learn more about the molar mass please click on the link brainly.com/question/14042796

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8 0
2 years ago
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