Determine the distance between a newly discovered planet and its single moon if the orbital period of the moon is 1.2 Earth days and the mass of the planet it orbits is 9.38E24 kg.You may assume the orbit to be circular.

Answers

Answer 1

Answer:

The distance is [tex]r = 55430496 \ m[/tex]  

Explanation:

From the question we are told that

   The period of the moon [tex]T = 1.2 days = 1.2 * 24 * 3600 = 103680 \ s[/tex]

    The mass of the planet is  [tex]m_p = 9.38*10^{24} kg[/tex]

Generally the period of the moon is mathematically represented as

       [tex]T = 2 * \pi * \sqrt{ \frac{r^3 }{ G * m_p } }[/tex]

Here G is the gravitational constant with value

        [tex]G = 6.67 *10^{-11} \ N \cdot m^2/kg^2[/tex]

=>   [tex]T = 2 * \pi * \sqrt{ \frac{r^3 }{ G * m_p } }[/tex]

=>   [tex]103680 = 2 * 3.142 * \sqrt{ \frac{r^3 }{ 6.67*10^{-11} * 9.38*10^{24} } }[/tex]

=>    [tex]272218492.31 = \frac{r^3}{ 6.67 *10^{-11} * 9.38*10^{24}}[/tex]

=>    [tex]r = \sqrt[3]{ 1.7031241*10^{23}}[/tex]j

=>   [tex]r = 55430496 \ m[/tex]        


Related Questions

Which of the following is true regarding the speed of earthquake waves?
OA.
S waves travel faster than P waves and surface waves.
ОВ.
Surface waves travel faster than P waves and S waves.
OC.
P waves, S waves, and surface waves all have the same speed.
OD.
P waves travel faster than S waves and surface waves.

Answers

Answer:

p waves travel faster than s waves and surface waves

Answer:

p waves travel faster than s waves and surface waves

Explanation:

I took a quiz and got this right.

Solar____is the energy output from the sun

Answers

Answer:

Solar energy? Solar rays? Solar Power?

Explanation:

not too sure what you mean, its kinda in the sentence. lmk if you need any help however

Answer:

Solar system is the energy output from the sun

What is the magnitude of the centripetal force that must be applied in order for a 2kg ball on a 2.0 m string to spin with uniform circular motion at 5.0 m/s

Answers

The ball needs to accelerate with a magnitude a (pointed towards the center of the circle) of

a = (5.0 m/s)² / (2.0 m) = 12.5 m/s²

Then the required tension F in the string would need to be

F = (2 kg) (12.5 m/s²) = 25 N

because centripetal force equals mv^2/r, we can plug in our known values to result in (2(5)^2)/2, which is equal to 25 n.

At the top of Mt. Everest (8850 m) a climber and their equipment (80 kg) has how much
potential energy?

Answers

because gravitational potential energy equals mass•acceleration due to gravity•height (mgh), we can calculate the potential energy by multiplying 80•9.8•8850, which results in 6,938,400 j.

What equation defines moment of inertia? Define the terms used in the equation.

Answers

Answer:

The formula for moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as I = Σ miri2.

Explanation:I hope it helped

An athlete stretches a spring an extra 40.0 cm beyond its initial length. How much energy has he transferred to the spring, if the spring constant is 52.9 N/cm?
a) 4230 kJ
b) 4230 J
c) 423 kJ
d) 423 J

Answers

Answer:

b) 4230 J

Explanation:

Step one:

given data

extension= 40cm

Spring constant K= 52.9N/cm

Step two:

Required

the Kinetic Energy KE

the expression to find the kinetic energy is

KE= 1/2ke^2

substituting our data we have

KE= 1/2*52.9*40^2

KE=0.5*52.9*1600

KE= 42320Joules

The answer is b) 4230 J

A circuit can only light up a lightbulb if there is a ______ path for electricity to travel from one end of the energy source to the other end.

Answers

Answer:

Continuous

Explanation:

A circuit can only light up a lightbulb if there is a continuous path for electricity to travel from one end of the energy source to the other end.

Answer:

continuios

Explanation:

Professional baseball pitchers deliver pitches that can reach the blazing speed of 100 mph (miles per hour). A local team has drafted an up-and-coming, left-handed pitcher who can consistently pitch at 42.24 m/s (94.50 mph).
A. Assuming a pitched ball has a mass of 0.1420 kg and has this speed just before a batter makes contact with it, how much kinetic energy does the ball have?
B. How high would the ball need to be dropped from to attain the same energy (neglect air resistance)?

Answers

Answer:

A. ) K =126. 7 J

B. ) h= 91.1 m.

Explanation:

A)

Assuming no air resistance, once released by the pitcher, the speed must keep constant through all the trajectory, so the kinetic energy of the ball can be expressed as follows:

       [tex]K = \frac{1}{2}*m*v^{2} = \frac{1}{2}*0.142 kg*(42.24m/s)^{2} = 126.7 J (1)[/tex]

B)

Neglecting air resistance, total mechanical energy must be the same at any point, so, if we choose the ground level as the zero reference level for the gravitational potential energy, and assuming that the ball attains this kinetic energy just before striking ground, this value must be equal to the gravitational potential energy just before be dropped, so we can write the following equality:

        [tex]U_{o} = K_{f} = 126. 7 J (2)[/tex]

        ⇒ m*g*h = 126. 7 J

Solving for h, we get:

       [tex]h = \frac{K_{f}}{m*g} = \frac{126.7J}{0.1420kg*9.8m/s2} = 91.1 m (3)[/tex]

An athlete completes 1 laps around a track with a radius of 25 meters in 180 seconds. What is the magnitude of the athlete's tangential velocity?

Answers

Answer:

0.872m/s

Explanation:

Tangential velocity is given by the formula,

[tex]v= 2\pi r/ t[/tex]

In the question given,

radius= 25meters

time= 180secs

pie= 3.14

number of laps= 1

The magnitude of tangential velocity equals;

[tex]\frac{1lap* 2 *3.14 *25m}{180secs}[/tex]

v = 157m/180secs

Therefore, the magnitude of the tangential velocity

=0.872m/secs

Penn foster high school exam # 700417RR ANSWERS PLZ

Answers

Answer:

it's an affordable high school I guess that's what it say look at the picture

Which answer below defines three of the five methods of weather forecasting?
Storm Chasing/ Persistent Forecasting/ Long-Range Forecasting
Storm Chasing/ Short Term Forecasting/Medium Range
Forecasting Persistent Forecasting/ Now-casting/ Short Term Forecasting
Now-casting/ Observing cast/ Short Term Forecasting

Answers

Answer: Storm Chasing/ Persistent Forecasting/ Long-Range Forecasting

Explanation:

Storm chasing is identification of the severe weather condition for the purpose of scientific investigation.

Persistent forecasting can be defined as the standard of comparison of the weather forecasting skills.

Long range forecast can provide the expected the condition of the atmospheric and oceanic condition.

Answer:

Persistent Forecasting/ Now-casting/ Short Term Forecasting

Explanation:

i just took the test and got it right. Happy holidays. Hope i helped. Maybe i can get brainlist??:)

Students are using a mallet to hit a drum. The diagram below shows this action.
Drum
Drum
When the mallet
hits the drum,
the drum skin
begins to vibrate.
particles of air
compressed
together
particles of air
compressed
together
Mallet
particles of air
moving apart wave of
again
compressed
particles moving
outward
Which statement BEST describes the phenomenon illustrated in the model?
Sound waves are being transmitted through the air in the drum.
Sound waves are being transferred from the mallet to the drum.
O Sound waves are being absorbed by the drum.
Sound waves are being reflected by the drum.

Answers

S o is o a one I. Isn’t I e one

Answer:

A

Explanation:

i think

You are throwing a ball straight up in the air. At the highest point, the ball's.....
acceleration is nonzero, but its velocity is zero.
velocity and acceleration are both nonzero.
velocity is nonzero but its acceleration is zero.
velocity and acceleration are zero.​

Answers

Answer:

velocity and acceleration are zero.​

When a ball is thrown exactly straight up in the air, at its highest point, velocity and acceleration are zero.​

This is because, at the ball's highest point, the ball is not moving in any direction meaning the vector quantity (direction and magnitude) is zero for both velocity and acceleration.

7) While having an existential crisis you lay on the floor to stare at the ceiling. The normal force you experience from the ground is likely equal to...

A The parallel component of the your weight
B Your weight
C The friction between the you and the ground
D Your mass

Answers

Answer:

The correct answer is B. your weight

Explanation:

Newton's third law states that every action has an equal and opposite reaction. You may not think this, but when you're standing on the floor, you are exerting a force against the floor: your weight, caused by gravity, is pulling you down. The floor is reacting by pushing back: we call this force the reaction force. -Google

Answer:

kkk

Explanation:

As the distance between an object and the center of the Earth is increased...
a. the object's mass decreases and its weight remains the same
b. both the object's mass and its weight remain the same
c. both the object's mass and its weight decrease
d. the object's mass remains the same and its weight decreases

Answers

Explanation:

the answer is D.

have a great day !

As the distance between an object and the center of the Earth is increased,  the object's mass remains the same and its weight decreases. Therefore, option D is correct.

What is mass ?

A body's mass is an inherent quality. Prior to the discovery of the atom and particle physics, it was widely considered to be tied to the amount of matter in a physical body.

Since the mass of the Earth is evenly distributed throughout its volume, the weight of an object increases with increasing distance from the planet's center until the object lies beneath the surface (in a hole or tunnel). When an object is above the surface, its weight falls as it gets farther from the Earth's center.

when the separation between a point and the Earth's center widens. The weight of the object drops while its mass stays constant.

Thus, option D is correct.

To learn more about mass, follow the link;

https://brainly.com/question/19694949

#SPJ2

Jadeen says that you can increase the resistance of a copper wire by hammering the wire to make it narrower and longer. Arnell says that you can increase its resistance by heating the wire. Which one, if either, is correct, and why?
1) Arnell, because the conductivity of the wire increases when it is heated.
2) Arnell, because the conductivity of the wire decreases when it is heated.
3) Jadeen, because the conductivity of a wire is directly proportional to its area and inversely proportional to its length.
4) Jadeen, because the conductivity of a copper wire does not increase and might decrease when it is hammered.
5) Both are correct because (b) and (d) are both correct.

Answers

Answer:

The answer is "Option 5".

Explanation:

Jadeen claims that only by hitting the wire to make it thinner and wider, it can improve a copper wire's strength, which is why a copper wire's permeability doesn't quite improve and can reduce once it is pounded. Arnell says so by heating its wire, it can improve its strength, and when it is heated, the wire's permeability reduces.

Type of carbon that is produced from fossil fuels

Answers

Answer:

Carbon dioxide/CO2

Explanation:

i-

Answer:

I think Carbon Dioxide

Explanation:

Because When fossil fuels are burned carbon and hydrogen react with oxygen in air to carbon dioxide (CO2) and water (H2O).

The picture shows an orange falling from an orange tree


Which forces are acting on the falling orange?

A) The force of gravity is pulling down in the orange, while the force of friction is pushing up on the orange

B) The tension force is pulling down on the orange, while the force of gravity is pushing up on the orange.

C) The force of friction is pulling down on the orange, while the normal force is pushing up on the orange.

D) The force of gravity is pulling down on the orange, while the tension force us pushing up on the orange.

Answers

Answer:

Answer A is the correct one

Explanation:

The force of gravity is pulling down in the orange, while the force of resistance with the air is pushing up on the orange. This last force could be viewed as a type of "friction" force with the air.

A) The force of gravity is pulling down in the orange, while the force of friction is pushing up on the orange

Gravity always pulls objects down. Gravity pulls you down to the ground when you jump.Friction is the force resisting the relative motion of solid surfaces. This force pulls a sliding object in the opposing direction of another object.The forces that are acting on the falling orange are: The force of gravity is pulling down in the orange, while the force of resistance with the air is pushing up on the orange. 

For more information:

https://brainly.com/question/21400258?referrer=searchResults

What is the answer to this question number 2?

Answers

Answer:

1⁺ ion

Explanation:

Metals in the first group on the periodic table will prefer to form 1⁺ ion. This is because the 1 valence electron in their orbital.

Most metals are electropositive and would prefer to lose electrons than to gain it.

Like all metals, the group 1 elements called the alkali metals would prefer to lose and electron.

On losing an electron the number of protons is then greater than the number of electrons. This leaves a net positive charge.

In order to prevent injury in a car crash, it is recommended that you _______.

A) Increase the time of the collision.
B) Increase the change in momentum of the collision.
C) Increase the force in the collision.
D) Increase the initial velocity of the collision.

Answers

Hi 崩歲教行座難歲匕該雞看種崖還出葩來源不明就里說賣還幽人
The answer may very well be, B.

Increase of momentum of the collision will have the car in a unsettling position, creating an unsettling spot for it. Moreover increasing this would most likely take worse effect, it is better than increasing the time, which will only create the car faster. Let me show you what I mean...

A) Creates the car go faster, creating an even worse tragedy. B) save this for later...C) Increasing force will only result in worse damage.And finally, D) Increasing the velocity is basically increasing speed, once again, making things worse.

So overall in this piece, the answer may very well end up being B. I sincerely hope this helped you by whatever means possible. It's logic that helps in real life situations, so take this as a little lesson- I guess :3

which energy resource is renewable

Answers

Explanation:

solar energy is the answer

Light travels from a
laser across an 8 m
room where it reflects
off a mirror. Uniform or non uniform velocity ​

Answers

Answer:

Non-uniform velocity as the laser light beam has got reflected by the mirror

And as the light got reflected there is a change in velocity making it non-uniform velocity

Ben is doing a lab with baking soda and vinegar. He noticed that a chemical
reaction took place when he mixed the two substances together. Which of
the following BEST indicates (shows) a chemical reaction took place?
A. a change in mass
B. a change in color
C. the production of a gas and bubbles

Answers

Your answer for that question is a

Why does a Galilean telescope have narrower field of view than an Keplerian telescope with the same size lenses?

Answers

Answer:

This is due to the eye piece consisting of a diverging lens

Explanation:

Galilean telescope have a narrower field of view than an Keplerian telescope with the same size lenses due to the eye piece consisting of a diverging lens while the Keplerian telescope eye piece has a converging lens.

The presence of a converging lens in the Keplerian telescope enables it to have a larger angle difference while the Galilean telescope diverging lens enables it to have a smaller angle difference which explains its narrow field of view.

A car is moving in a straight line with the same speed of 100 m/s ,the acceleration in this
case is
a= 100 m/s2
a=10 m/s2
a=1000 m/s2
a= 0 m/s2

Answers

Answer:

a = 0m/s²

Explanation:

Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

Question 1 of 20
Which statement best describes the effect of the magnet on the block of
material next to it?
is N
O
A. The magnet has magnetized the center of the block.
U
B. The magnet has magnetized the right side of the block.
C. The magnet has magnetized the whole block.
ОО
D. The magnet has magnetized the left side of the block.

Answers

Answer:

B. The magnet has magnetized the right side of the block.

Explanation:

a pe x

A disk between vertebrae in the spine is subjected to a shearing force of 600 N. Find its shear deformation, taking it to have the shear modulus of 1 x 109 N/m2. The disk is equivalent to a solid cylinder 0.700 cm high and 4.00 cm in diameter.

Answers

Answer:

3.34×10^-6m

Explanation:

The shear modulus can also be regarded as the rigidity. It is the ratio of shear stress and shear strain

can be expressed as

shear stress/(shear strain)

= (F/A)/(Lo/ . Δx)

Stress=Force/Area

The sheear stress can be expressed below as

F Lo /(A *Δx)

Where A=area of the disk= πd^2/4

F=shearing force force= 600N

Δx= distance

S= shear modulus= 1 x 109 N/m2

Lo= Lenght of the cylinder= 0.700 cm=7×10^-2m

If we make Δx subject of the formula we have

Δx= FLo/(SA)

If we substitute the Area A we have

Δx= FLo/[S(πd^2/4]

Δx=4FLo/(πd^2 *S)

If we input the values we have

(4×600×0.7×10^-2)/10^9 × 3.14 ×(4×10^-2)^2

= 3.35×10^-6m

Therefore, its shear deformation is 3.35×10^-6m

A=area of the disk= πd^2/4

= [3.142×(4×10^-2)^2]/4

helppp please ?????????

Answers

Answer:

v=59[m/s]

Explanation:

To solve this problem we must use the principle of conservation of energy, which tells us that energy is transformed from Kinetic to potential or vice versa. At the moment when the car is at the top before falling down the cliff, we have the car moving at speed 50 [m/s] (kinetic energy) also it is 50 [m] above ground level (potential energy).

[tex]E_{k1}+E_{p1}=E_{k2}\\[/tex]

where:

Ek1 = kinetic energy before falling [J]

Ep1 = potential energy before falling [J]

Ek2 = kinetic energy in the ground [J]

The potential energy can be calculated by means of the following equation.

[tex]E_{p}=m*g*h[/tex]

where:

m = mass = 500 [kg]

g = gravity acceleration = 9.81 [m/s²]

h = elevation = 50 [m]

Whereas the kinetic energy can be calculated by means of the following equation.

[tex]E_{k}=\frac{1}{2}*m*v^{2}[/tex]

where:

v = velocity = 50 [m/s]

Now replacing in the general equation:

[tex]\frac{1}{2} *500*(50)^{2} +500*9.81*50=\frac{1}{2} *500*v^{2}\\625000+245250=250*v^{2} \\250*v^{2} =870250\\v=\sqrt{870250/250} \\v=59[m/s][/tex]

Bobbie is on a skateboard riding it down a hill. As he approaches the hill his velocity is 26 m/s. While he travels down the hill he realizes his acceleration is 6 m/s2. At the bottom of the hill he finds out that his velocity is 102 m/s. What time will be required to create this change in velocity?

Answers

Answer:

Bobbie will need 12.7 seconds.

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly in time. If the speed changes from vo to vf in a time t, then the acceleration is:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The question states Bobbie is riding on a skateboard down a hill, starting from vo=26 m/s with an acceleration of a=6\ m/s^2 until his speed is 102 m/s. We are required to find the time needed to create that change of velocity.

Solving for t:

[tex]\displaystyle t=\frac{v_f-v_o}{a}[/tex]

[tex]\displaystyle t=\frac{102-26}{6}=\frac{76}{6}[/tex]

t = 12.7 s

Bobbie will need 12.7 seconds.

PROPERTIES OF RADIO WAVES

Answers

Answer:

Radio waves are a type of electromagnetic radiation with wavelengths in the electromagnetic spectrum longer than infrared light. Radio waves have frequencies as high as 300 gigahertz (GHz) to as low as 30 hertz (Hz).

Explanation:

Picture??????????!???
Other Questions
plz help! (will make brainliest!) simplify 20 divided by 4+6.2 HURRY I'm not understanding Identify which equations have one solution, infinitely many solutions, or no solution. PLEASE HELP! I will rate the answers!2.2z+3z=4.5-3.22.3y+3.2-y=2.1+1.3y+1.12/3x+2/3+1/5x=2/3x20+4r=32-2r Stream of consciousness is: Write an action line for your commercial concept. (write an action line about your favorite food). Help w this pls it would save mePleasereeee For a conscious person showing symptoms of shock, which of these steps should you perform to provide first aid? A. Begin CPR B. Place ice on the persons neck.C. Keep the person walking around. D. Lay the person down with legs elevated What does a curved gradient line in a distance-time graph represent? Please help, thanks for understanding A measure that describes the cash remaining from operations after adjustment for capital expenditures and dividends is adjusted cash from operations. cash provided by operations. free cash flow. net cash provided by operating activities. i need this quick this is due soon Your aunt is sipping on iced tea and fanning herself during a hot South Carolina summer day. You tell her that there is enough energy in one drop of her iced tea to run the air conditioner for the rest of her life if the energy could be extracted with 100% efficiency. Your aunt asks you to explain. Use the concepts you learned in this unit to explain the relationship between forces, energy, and matter. In triangle ABC, m angle A = 30 and m angle B = 60. Matches these in the order from smallest to largest. AB, BC, AC I need help!!! Please ASAP! Will mark Brainliest if good! Identify extra or missing information. Solve if possible. Jenna makes $8 an hour babysitting. She works 3 days per week. What is the total amount she makes in a week? Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60%, percent of the items on our list," her father says. Anastasia sees 12 items in the cart. How was New Orleans involved in the Slave Trade? Find the coordinating conjunction in the sentence the team members felt the task would be difficult but they areaccepting the challenge. Which one is correct