The moon Ariel orbits Uranus at a distance of 1.91 x 108 m once every 2.52 days. Use that data to calculate the mass of Uranus. [?] x 10kg​

Answers

Answer 1

Mu = 8.66 × 10^25 kg

Explanation:

centripetal force = gravitational force

[tex]m \frac{ {v}^{2} }{r} = (grav.const) \frac{m \times mu}{ {r}^{2} } [/tex]

where

m = mass of moon Ariel

mu = mass of Uranus

r = radius of Ariel's orbit

v = Ariel's velocity around Uranus

To find the velocity, we need to find the circumference of the no orbit and then divide it by the period (2.52 days):

circumference = 2πr = 2π×(1.91 × 10^8 m)

= 1.2 × 10^9 m

period = 2.52 days × (24 h/1 day)×(3600 s/1 hr)

= 2.18 × 10^5 s

v = (1.2 × 10^9 m)/(2.18 × 10^5 s)

= 5.5 × 10^3 m/s

(5.5 × 10^3 m/s)^2/(1.91 × 10^8 m) = (6.67 × 10^-11 m^3/kg-s^2)Mu/(1.91 × 10^8 m)^2

Solving Mu,

Mu = 8.66 × 10^25 kg


Related Questions

Find all the missing elements:

Answers

Answer: 80

Explanation:

Answer:

C=20

a = 10.8

c= 4.3

Explanation:

Jasmine is investigating the effect force has on the motion of an object. She predicts if she puts a strong force on pushing a bowling ball, it will travel a farther distance than when a weak force is applied. Is her prediction correct? No, a weak or a strong force applied to the ball is unable to affect the motion of the ball. No, the force applied to the bowling ball should be a strong force. Yes, the force applied to the bowling ball affects the motion of the ball. Yes, the ball will travel a longer distance when a weak force is applied.

Answers

Answer:

I would like to attach options to the question above for clarity.

Jasmine is investigating the effect force has on the motion of an object. She predicts if she puts a strong force on pushing a bowling ball, it will travel a farther distance than when a weak force is applied. Is her prediction correct?

A. No, a weak or a strong force applied to the ball is unable to affect the motion of the ball.

B. No, the force applied to the bowling ball should be a strong force.

C. Yes, the force applied to the bowling ball affects the motion of the ball.

D. Yes, the ball will travel a longer distance when a weak force is applied.

The correct option is C (Yes, the force applied to the bowling ball affects the motion of the ball).

Explanation:

First, a force is any effort either push or pull that causes an object to undergo a change.

A bowling ball can remain at rest or in motion except a force acts on it. This brings us to the question above, the mass which affects force is not mentioned which means it is uniform or negligible. Recall that force = mass X acceleration. So the greater the force that is applied to the bowling ball the further distance it will travel. From the question, she applied a forward force (pushing), so the more force she applies the further the bowling ball will travel.

Which of the following is a property of an ionic compound?
A
has a low boiling point
B
forms molecules
C
is soft and flexible
D
conducts electricity when aqueous

Answers

Answer:

D

Explanation:

ionic compounds conduct electricity when molten or dissolved in water. ionic compounds conduct electricity when dissolved in water because water molecules are attracted to ions, this weakens the strong electrostatic forces of attraction between the oppositely charged ions. thus, ions are pulled away from the lattice structure and the remaining compound dissolves in water to form aqueous solution. The presence of free moving ions enables the ionic compound to conduct electricity.

hope this helps

please mark it brainliest

2. Two vectors with magnitudes of 1 meters and 3 meters cannot have a resultant of (5.0 points)
3 meters
4 meters
O meters
2 meters

Answers

Answer:

the correct answer is 3 meters

Rebecca forgets to title her notes in her physics
class. These are the notes she takes:
Which title would be the best choice for Rebecca's
notes?
-Special signals that help them be seen in the body
-Used in
-CAT scans
-radioactive tracers
-Help create better images inside the body
Uses of Nanotechnology: Carbon Wires
O Uses of Nanotechnology: Quantum Dots
O Quantum Mechanics: Carbon Wires
O Quantum Mechanics: Quantum Dots

Answers

Answer:

use of nanotechnology ; quantum dots

Explanation:

edg 2021

Answer:

Explanation:

The notes are about using Quantum Dots for bio-medical imagining. The notes are more on its uses than its theory. So the title should be O Uses of Nanotechnology: Quantum Dots.

A round asteroid has a surface gravity of .0288 m/s^2 if the mass of the asteroid is 1.10 x10^18 kg what is its radius

Answers

Answer:

r = 50.47 x 10³ m = 50.47 km

Explanation:

Using the formula for the acceleration due to gravity:

[tex]g = \frac{Gm}{r^2}[/tex]

where,

g = acceleration due to gravity on the surface of asteroid = 0.0288 m/s²

G = Universal Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²

m= mass of asteroid = 1.1 x 10¹⁸ kg

r = radius of asteroid = ?

Therefore,

[tex]0.0288\ m/s^2 = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.1\ x\ 10^{18}\ kg)}{r^2} \\\\r = \sqrt{\frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.1\ x\ 10^{18}\ kg)}{0.0288\ m/s^2}}[/tex]

r = 50.47 x 10³ m = 50.47 km

Answer:

5.05x10^4

Explanation:

g=(GM)/r^2, so

.0288=(6.67x10^-11*1.10x10^18)/r^2, r=5.05x10^4.

This is correct on Acellus.

Which one of the following properties apply to both waves and particles?

A) Photoelectric Effect
B) Diffraction
C) Refraction

Answers

Answer:

b

Explanation:

sorry if im wrong

Which nucleus completes the following equation? ​

Answers

Answer:

I think B but I could be wrong

Explanation:

how can a river be used to produce electricity?

Answers

Answer:

 Scientists at IIT Roorkee are testing a floating device that can generate electricity from flowing surface water of rivers and streams, paving the way for an alternative source of renewable energy.

Explanation:

hope it helps my dear friend.

HELP PLS
In the context of climate change, is “positive feedback” a good thing?

Answers

Climate feedbacks: processes that can either amplify or diminish the effects of climate forcings. A feedback that increases an initial warming is called a "positive feedback." A feedback that reduces an initial warming is a "negative feedback." So I guess it is ?

In the center of the Milky Way galaxy is a
A The answer is A: black hole .

Answers

The answer is a black whole plz. Mark me

what are the steps to form a igneous rock

Answers

Answer:

igneous rocks are formed through the cooling and solidification of magma or lava. As hot, molten rock rises to the surface, it undergoes changes in temperature and pressure that cause it to cool, solidify, and crystallize.

A construction worker puts 20 J of energy in to one strike of his hammer on the head of a nail. The energy transferred to driving the nail into the wood is 8.0 J. What is the efficiency of the construction worker's hammering? (2 sig figs and answer in a percentage)

Answers

Answer:

The efficiency of the constuction is 9.0

Explanation:

An upright object 2.80 cm tall is placed 16.0 cm away from the vertex of a concave mirror with a center of curvature of 24.0 cm. What is the focal length of this mirror?

Answers

Answer:

f = 12 cm

Explanation:

Center of Curvature:

The center of that hollow sphere, whose part is the spherical mirror, is known as the ‘Center of Curvature’ of  mirror.

The Radius of Curvature:

The radius of that hollow sphere, whose part is the spherical mirror, is known as the ‘Radius of Curvature’ of  mirror. It is the distance from pole to the center of curvature.

Focal Length:

The distance between principal focus and pole is called ‘Focal Length’. It is denoted by ‘F’.

The focal length of the spherical (concave) mirror is approximately equal to half of the radius of curvature:

[tex]f = \frac{R}{2}[/tex]

where,

f = focal length = ?

R = Radius of curvature = 24 cm

Therefore,

[tex]f = \frac{24\ cm}{2}[/tex]

f = 12 cm

Point A is 2.50 m from a +3.73*10^-8 C charge, and Point B is 1.00 m from the charge. What is the potential difference when you go from point A to point B? Include the correct sign, + or - (Hint: Does V go up or down when you go from A to B?) (Unit = V)​

Answers

Answer:

-201

Explanation:

Got it right on Acellus

Answer:

-201

Explanation:

acellus

A child easily pushes an empty shopping cart around the store. As the cart fills, the child has to exert more force to keep the shopping moving and keep up with his mom. Which law is best supported by this example?

A. Newton's First Law


B. Newton's Second Law

C. Newton's Third Law


D. The law of definite proportions

Answers

Answer:

B Newton's second law

Explanation:

An empty grocery cart is easier to move because there is less mass in an empty cart compared to a full cart. Newton's second law state that an object's acceleration depends on the mass of the object and the force applied.

20 points plz help i dont really understand how to do this
my grades at d rn plz help lol tysm if you do < 3
. Calculate the equivalent resistance of the circuit.


c. Calculate the current through the battery.


d. How much current is passing through each resistor

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

1. Calculate the equivalent resistance in the circuit :

In the given diagram, the resistors are in series connection,

So equivalent resistance = sum of resistance of both resistors.

[tex] \large \boxed{R_{eq} =R_1 +R_2 }[/tex]

[tex]R_{eq} = 480 + 360[/tex]

[tex]R_{eq} = 840 \: ohms[/tex]

Therefore, Equivalent resistance = 840 ohms.

2. Calculate the current through the battery :

[tex] \boxed{ \mathrm{current = \dfrac{potential \: \: difference}{resistance} }}[/tex]

[tex]i = \dfrac{120}{840} [/tex]

[tex]i = \dfrac{1}{7} [/tex]

[tex]i = 0.142 \: Amperes[/tex]

Hence, current through the battery = 0.142 A

3. How much current is passing through each resistor :

Since the resistors are joined in series connection, the current flowing through each resistor will be equal = 0.142 Amperes.

___________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

PLEASE HELP! WILL MARK BRAINLIEST!
If both waves have opposite signs, then ____________ interference will occur when the two waves overlap.
A. Constructive
B. Negative
C. Positive
D. Destructive

Answers

A. Constructive is correct

Do white holes exist in space?​

Answers

Answer:

White holes do not exist in space

Explanation:

Any outgoing matter would collide with the matter in orbit, and the system would collapse into a black hole

Have a good day :)

Water is more dense in its solid state.

Answers

Water is more dense in its solid state.

This statement is true.

Answer: what is it asking

Explanation:


The energy associated
with changing from a
liquid to a vapor?

Answers

latent heat, also called the heat of vaporization, is the amount of energy necessary to change a liquid to a vapour at constant temperature and pressure.Apr 6, 2021

An empty water tank has a rectangular base with side lengths of 1.2 m and 2.3 m. The weight of the tank applies a pressure of 350 Pa to the surface it is resting on. What is the weight of the tank?

Answers

Answer:

Weight = 966 Newton.

Explanation:

Given the following data;

Length = 1.2 m

Width = 2.3 m

Pressure = 350 Pa

To find the weight of the tank;

We know that weight is the force of gravity acting on an object multiplied by its mass.

Weight = mg = force

Hence, we would determine the force using the parameters that were given.

But we would first determine the area of the rectangular tank.

Area of rectangle, A = length * width

A = 1.2 * 2.3

A = 2.76 m²

Mathematically, pressure is given by the formula;

Pressure = force/area

Force = pressure * area

Substituting into the formula, we have;

Force = 2.76 * 350

Force = 966 Newton

Therefore, the weight of the tank is 966 Newton.

on which factor hydraulic pressure depend?​

Answers

Amount of gas, temperature, and volume of container.

According to Hooke's law, the force necessary to stretch or compress a spring is proportional to what value?

Answers

Answer:

displacement

Explanation:

Hookes Law describes the elastic properties of materials only in the range in which the force and displacement are proportional (displacement = change in length).

The stationary object from which movement is
determined is called
a. terminal velocity
b. momentum
C. motion
d. reference point

Answers

Answer:

I believe that the correct answer is D. reference point.

Drag the correct labels to the box. Not all labels will be used. Identify the examples of persuasive writing. We must act to preserve the rain forests of the Amazon. According to the World Wildlife Fund, 17 percent of the rain forest has been cleared in the past 50 years. You never know where you will make a new friend! Let me tell you this story about how I came to meet my new friend. It was at one of the most unexpected places—a train station! Technology is meant to help us connect easily and quickly with each other. However, many people have become obsessed with posting on social media sites. They pay little attention to actual human interaction. Banning all video games is not the answer to reducing violence in our society. People argue that violent games harm our culture and should be banned. However, this action would go against the freedom of choice. The New York Times reports that over a million students in the United States are now taking courses online. Online learning may be more convenient for students and teachers. However, it appears to be just an attempt by schools to save money. Spain is one of the most appealing countries in Europe. Everything from the food to the people and the music has its own unique flavor.

Answers

Hi,

Persuasive writing "is a sound argument of a position backed up with facts, details, examples, and one additional element-appeal".

In the choices there are only 3 answers who appeal to this definition:

1.  Banning all video games is not the answer to reducing violence in our society. People argue that violent games harm our culture and should be banned. However, this action would go against the freedom of choice.

2. The New York Times reports that over a million students in the United States are now taking courses online. Online learning may be more convenient for students and teachers. However, it appears to be just an attempt by schools to save money.

3. We must act to preserve the rain forests of the Amazon. According to the World Wildlife Fund, 17 percent of the rain forest has been cleared in the past 50 years.

XD

They preserve many good__for us(from history of nepal)​

Answers

Answer:

They preserve many good_from historyof nepal_for us(from history of nepal)

We measure distances in astronomy in terms of AU which is the distance
between the earth and sun. If the distance is 2AU, it is twice that distance.
What happens to the time period (1 year) for planets when you double the
distance from the sun? (approximately)

Answers

Answer:

it took by 2 and made it 2 yrs

Explanation:

What is the difference between a counting loop and an infinite loop?

Answers

REPETITION CYCLES. A repeating structure allows you to execute an instruction or a set of instructions multiple times. A repetitive execution of sentences is characterized by: The sentence or sentences that are repeated. The cycle is one of the most important basic programming structures, as it is present in dissimilar problems. In structured programming there are three types of basic cycles: determined, indeterminate avoidable, and indeterminate unavoidable; On the other hand, visual programming brings with it a revolutionary change in this structure, since the user who controls when the cycle ends is himself, activating an event that signifies the breaking of the cycle.

What types of media can S-waves travel through

Answers

Answer:

The second type of body wave is the S wave or secondary wave, which is the second wave you feel in an earthquake. An S wave is slower than a P wave and can only move through solid rock, not through any liquid medium.

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