Between the orbits of Mars and Jupiter, several thousand small objects called asteroids move in nearly circular orbits around the Sun. Consider an asteroid that is spherically shaped with radius r and density 2000 kg/m^3.


1. You find yourself on the surface of this asteroid and throw a baseball at a speed of 24 m/s. If the baseball is to travel around the asteroid in a circular orbit, what is the largest radius asteroid on which you are capable of accomplishing this feat?

Answers

Answer 1

Answer:

The radius is  [tex]r = 3.21*10^{4} \ m[/tex]

Explanation:

From the question we are told that  

   The density is  [tex]\rho = 2000 \ kg/m^3[/tex]

    The speed is  [tex]v = 24 \ m/s[/tex]

Generally the largest radius of the asteroid is mathematically represented as

      [tex]r = \frac{v^2}{ \sqrt{G * \rho * [\frac{4}{3} ] * \pi} }[/tex]

=>   [tex]r = \frac{24^2}{ \sqrt{ 6.67*10^{-11} * 2000 * [\frac{4}{3} ] *3.142 } }[/tex]

=>   [tex]r = 3.21*10^{4} \ m[/tex]


Related Questions

help pls ill give points​

Answers

Answer:

The answer Is erosion!

Hope you do Great!

Explanation:

Answer:

weathering

Explanation:

While hiking in the mountains, you see a mountain lion. If you were to react as the Cannon–Bard theory of emotions proposes, which sequence of events would characterize your response? Group of answer choices You would experience physiological changes and a feeling of fear simultaneously. You would feel fear followed by physiological changes. You would experience physiological changes followed by fear. You would experience physiological changes and context appraisal followed by fear

Answers

Answer:

You would experience physiological changes and a feeling of fear simultaneously.

Explanation:

Cannon–Bard theory of emotions can as well be regarded as Thalamic theory of emotion, whenever the body experience a stimuli, a message will be sent to the brain by the Thalamus then there will be emotions as a result of this a physiological reaction such as trembling, sweating and others would follows. The theory stressed that physical reaction doesn't depends on emotional reaction.

In the case of hiking in the mountains, and one see a mountain lion. If one were to react as the Cannon–Bard theory of emotions proposes, the sequence of events that would characterize One's response is one would experience physiological changes and a feeling of fear, because a message is send to the brain by the Thalamus, then emotion set in and physiological reaction, which explains Cannon–Bard theory.

What is the average speed if an object travels 90 meters in 3 seconds?

Answers

Answer:

The answer is 30 m/s

Explanation:

The average speed of an object can be found by using the formula

[tex]v = \frac{d}{t} \\ [/tex]

d is the distance

t is the time

We have

[tex]v = \frac{90}{3} \\ [/tex]

We have the final answer as

30 m/s

Hope this helps you

efficient than simple
Compound machines are generally
machines.

Answers

Answer:what?????

Explanation:hhisb

9
Fill in the blanks with CONDUCTION, CONVECTION, RADIATION:
is the transfer of energy through direct contact.
is the transfer of energy
through waves
radiation
is the transfer of energy through a medium such as a liquid or a gas.

Answers

Answer:radiation is the transfer energy thru heat waves, conduction is direct contact, and convection is through liquid

Explanation:ik this

There are 3 batteries in a series circuit, each containing 9V, and the total current is 1.5 A. Along the circuit is 4 resistors. The first is 3 ohms, the second is 6 ohms, the third is unknown, and the fourth is 5 ohms. What is the voltage drop across the unknown resistor

Answers

Answer:

The voltage drop across the unknown resistor is 6 volts.

Explanation:

Given;

the current flowing in the series circuit, I = 1.5 A

number of batteries in the series circuit, = 3

voltage in each battery = 9V

total voltage in the circuit, 3 x 9V = 27 V

number of resistor in the circuit, = 4

R₁ = 3 ohms

R₂ = 6 ohms

R₃ = ?

R₄ = 5 ohms

Determine the total resistance in the circuit by applying Ohms law;

V = IR

R = V / I

R = 27 / 1.5

R = 18 ohms

Determine the unknown resistance;

R₁ + R₂ + R₃ + R₄ = 18 ohms

3 + 6 + R₃  + 5 = 18

R₃ = 18 - 14

R₃  = 4 ohms

The voltage drop across the unknown resistor (R₃  = 4 ohms);

V₃ = IR₃

V₃ = 1.5 x 4

V = 6 volts.

Therefore, the voltage drop across the unknown resistor is 6 volts.

How are amplitude modulation and frequency modulation techniques similar?
O Both are used by cell phones to produce images.
O Both transform electrical signals into sound waves.
O Both modify the pulse of a carrier wave.
O Both are used by radio stations to transmit sound.

Answers

Answer:

D. Both are used by radio stations to transmit sound.

Explanation:

A race car accelerates uniformly from 19.5 m/s to 50.1 m/s in 2.47 seconds. Determine
the acceleration of the car and the distance traveled.

Answers

Answer:

12.4m/s²; 80.99m

Explanation:

Acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time. Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]

Given the following data;

Initial velocity = 19.5m/s

Final velocity = 50.1m/s

Time = 2.47 secs

Substituting into the equation;

[tex]a = \frac{50.1 - 19.5}{2.47}[/tex]

[tex]a = \frac{30.6}{2.47}[/tex]

Acceleration, a = 12.4m/s²

Solving for the distance covered;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting into the values into the equation;

[tex] S = 19.5(2.47) + \frac {1}{2}(12.4)(2.47)^{2}[/tex]

[tex] S = 48.165 + 6.2 *6.1009[/tex]

[tex] S = 48.165 + 32.8256[/tex]

S = 80.99m

To what extent should the schools be responsible for teaching sex education? To what extent should sex education be left to parents? Who should handle education about STDs?

Answers

Answer:

I believe that the doctor or your parent should handle STDs talk because the doctor could tell you your risk of getting STDs or your parent could keep you safe and be prepare.They should be the one to tell you the important of being safe and protected not your PE teacher or anyone else. They will understand your choice but don't talk about your personal life with your teacher .Your parent are the best choice to talk to about STDs.

Explanation:

a car accelerates at a rate of 5.5 m/s2 and reaches a speed of 25 m/s in 4 seconds. What was the original speed of the car?

Answers

Speed = (rate of acceleration) x (time)

Accelerating at 5.5 m/s² for 4 seconds, the car gains (5.5 x 4) = 22 m/s of speed.

If it's actually traveling at 25 m/s at the end of that time, then it must have already been moving at (25 - 22) = 3 m/s when the 4 seconds started.

\in what way are the longitudinal waves formed on the spring coils similar to the sound waves in air?

Answers

Answer:

The spring coils and the air participles both move in the same direction as the wave travel

On the first part of a journey, a motor cyclists travels for 33 hours at an average speed of 60km per hour.On the second part of a journey, the same motor cyclists travels for 600 minutes at an average speed of 50km per hour.How far does the motor cyclists travel in total

Answers

Answer:

2480km

Explanation:

(a) Write down the Bernoulli's Equation and continuity Equation for a pipe flow and define each term in the equation. (b) The closed tank of a fire engine is partly filled with water, the air space above being under pressure. A 6 cm bore connected to the tank discharges on the roof of a building 2.5 m above the level of water in the tank. The friction losses are of 45 cm of water. Determine the air pressure which must be maintained in the tank to deliver 20 litres/sec on the roof.

Answers

Answer:

A) [tex]\frac{P}{p} + \frac{1}{2} v^2 + gh = k\\[/tex]

B )  53.9 kN/m^2

Explanation:

a) Bernoulli's equation and continuity equation  for a pipe flow

[tex]\frac{P}{p} + \frac{1}{2} v^2 + gh = k[/tex]

[tex]\frac{P}{p}[/tex]  = pressure head

[tex]\frac{1}{2}v^2[/tex] = velocity head

gh = potential head

k = constant

p = density

b) determine the air pressure that must be maintained

Given data :

Discharge rate( R ) = 20 liters/sec ≈ 0.02 m^3

Bore diameter ( d ) = 0.06 m

first we calculate the velocity in the 6 cm  bore

v = [tex]\frac{R }{\frac{\pi }{4} *d^2}[/tex]   ------- (2)

R = 0.02

d = 0.06

insert the given values into equation 2

V = 7.07 m/s

next we apply the Bernoulli's equation by rewriting it as follows

[tex]\frac{P}{pg} + \frac{1}{2g} v^2 + h = k[/tex]

[tex]\frac{1}{2g}v^2[/tex] ( velocity head ) = [tex]\frac{7.07^2}{2*9.81}[/tex]  = 2.55

next  we will apply the use of energy conservation law on the surface of water  in tank and that on the roof :

Note : H1(frictional head loss ) = 45cm = 0.45 m , g = 9.81

applying the energy conservation  law

[tex]\frac{P1}{pg} + \frac{1}{2g} v_{1} ^2 + h1 =[/tex] [tex]\frac{P2}{pg} + \frac{1}{2g} v_{2} ^2 + h2[/tex]

[tex]\frac{P1}{pg}[/tex]  = 0 + 2.55  + 2.5 + 0.45

therefore ; P1 = 9.81 * 5.55 = 53.9 kN/m^2

A crate is being pushed with a force of 75 N, if the resulting acceleration of the crate is 3 m/s? what is the
mass of the crate?

Answers

Answer:

The answer is 15 kg

Explanation:

The mass of the crate can be found by using the formula

[tex]m = \frac{f}{a} \\ [/tex]

f is the force

a is the acceleration

From the question we have

[tex]m = \frac{75}{3} \\ [/tex]

We have the final answer as

15 kg

Hope this helps you

The frictional force on moving Toyota Prius is - 259.7 N. Using the calculated net force from problem 4, determine the force of the engine needed to cause the acceleration. Show your work.

Answers

Complete Question

The frictional force of moving Toyota Prius was given as  - 259.7 N. net force was 795 N and determined the force of the engine needed to cause the acceleration

Answer:

The value is [tex]F_e = 1054.7 \ N[/tex]  

Explanation:

From the question we are told that

   The frictional force is  [tex]F_f = -259.7 \ N[/tex]

   The net force is  [tex]F_{net} = 795 \ N[/tex]

Generally the net force is mathematically represented as

     [tex]F_{net} = F_e - F_f[/tex]

=>   [tex]F_e = F_{net} - F_f[/tex]

=> [tex]F_e = 795 - [-259.7][/tex]

=> [tex]F_e = 1054.7 \ N[/tex]    

   

Obtain 5 pennies. Line up 3 pennies touching in a perfect line. Line up 2 more pennies touching each other in perfect line with the other 3 pennies. Leave some space between the groups of pennies. Place your fingers onto the 2 slider pennies. Slide the 2 pennies into the group of 3. This may take practice to slide them correctly. Record what happens to the pennies after collision.

Answers

Answer:

Two other pennies will be launched, resting only 3 pennies left.

Explanation:

Take "o" as a pennie.

ooo    oo

ooo ← oo

ooooo

oo ← ooo

The process is very similar to what occurs with the pendulum of newton by the law or principle of energy conservation.

In physics, the law or principle of energy conservation states that the total amount of energy in an isolated system remains constant. Such a principle is closely linked to the very definition of energy. An informal way of enunciating this law is to say that energy cannot be created or destroyed: energy can only be transformed from one type to another. The energy from the two pennies will be transferred to the other two pennies from the edge, the energy is then transformed into a kinetic move again.

An object with a mass of 25 kg is on a free fall from a plane.
a. Calculate the force attracting it to the Earth. Would this force be different in Mars?
Gravitational field strength: 10 N/kg

Answers

Answer:

a) F = 250 [N]

Explanation:

Force can be calculated by means of Newton's second law, which tells us that force is the product of mass by acceleration.

a)

F = m*a

where:

F = force [N]

m = mass = 25[kg]

a = gravity acceleration = 10 [m/s²]

F = 25*10 = 250 [N]

Yes, this force would be different on Mars, since the gravitational acceleration of Mars is different from that of Earth.

gm = Martian gravity = 3.72 [m/s²]

Fm = 3.72*25 = 93 [N]

Q5) You drive a car at 40mph a distance of 5 miles to school. How many seconds does it take
you?

Answers

It takes you 8 minutes

If two objects crash into each other, what happens? Are both objects affected? How? If you can, give an example to support your ideas.

Answers

In a collision between two objects, both objects experience forces that are equal in magnitude and opposite in direction. Such forces often cause one object to speed up (gain momentum) and the other object to slow down (lose momentum).

If two objects crash into each other, they experience collision and both bodies are affected.

Two bodies are said to collide if they hit or crash into each other.

Hence when two objects crash into each other;

collision occursThere is a release of energy due to this collisionOne of the objects tends to gain momentum or speed while the other object loses momentum.

For example, two rolling objects going in opposite directions when they hit each other tens to experience a collision.

Hence we can conclude that if two objects crash into each other, they experience collision and both bodies are affected.

Learn more here: https://brainly.com/question/20424486

Convert the following units into SI units without changing their values.


(a) 20281 g (b) 1.54 km (c) 5 minutes

Answers

Answer:

Convert the following units, into SI units without changing their values.

2.5 km

We know that

1 km=1000 m

So, for 2.5 km:

2.5 km=2.5×1000 m

=2500 m

Explanation:

like this you can solve all your question

[tex]hii[/tex]

have a nice day ✌️

Michael is training to join the Army and runs to the left with a constant
velocity of 2 m/s. If he starts at Om, what is his position after 5 seconds?
Don't forget units and directions if appropriate.
Your answer

Answers

Answer:

[tex]10 \: m.[/tex]

Explanation:

[tex]his \: position \:is \: his \: distance \: from \: the \: \\ point \: of \: motion \: and \: is \: given \: by : \\ v = \frac{s}{t} \\ s = vt =2 \times 5 \\ s = 10 \: m.[/tex]

Is the moon accelerating?

Answers

Answer:

The Earth's gravity keeps the Moon orbiting us. ... This means gravity makes the Moon accelerate all the time, even though its speed remains constant.

Yes it is always accelerating due to gravity

A ball dropped from rest falls freely until it hits the ground with a speed of 18 meters per second. How long did it take for the ball to reach the ground?

Answers

Answer:

1.8 secs

Explanation:

u= 0

v= 18m/s^2

t= ?

v= u +at

18= 0 + 10×t

18= 10t

t= 18/10

t= 1.8 secs

Hence it will take the ball 1.8 secs to reach the ground

A scientific
a. theory
b. law
is a rule used to describe a pattern seen in nature, not an explanation of why that pattern might occur.
C. system
d. sequence
Please select the best answer from the choices provided
Ο Α
О В
О с
OD

Answers

I think the answer is c

a scientific LAW is the answer

Explanation:

a scientific law is the rule that nature runs by.

You are writing a story on a table. What physical properties would you want your table to have?

Answers

Answer:The Table should be smooth, hard, and large

Explanation:

Frank Schuman, an American inventor, designed a way to use concentrated sunlight to create steam to drive a turbine to generate electricity in 1910. It did not get accepted in the US, because cheap __________ was being burned to make the steam

Answers

Answer:

coal

Explanation:

Frank Schuman's solar power invention to create steam that will drive the turbine to generate electricity was not accepted in the United State back then because coal, a non-renewable energy source, was available for cheap and can easily be burned to generate steam.

Since the coal was readily available for cheap and back then, the deposit was huge to the extent that no one was thinking that it could get exhausted one day or the environmental pollution created through its burning, the invention of Schuman did not get the desired attention.

Plzzzz help due in a few

Answers

Answer: 5 = straight, constant

Answer: 6 = unbalanced, velocity

A pitcher throws a baseball horizontally with a speed of 42 m/s. If the pitcher throws the baseball from a height of 1.25 meters, what is the resultant velocity of the ball right before it hits the ground? Include direction (angle).

Answers

Answer:

v = 42.28 m/s

Explanation:

It is given that,

The horizontal speed of a baseball, [tex]u_x=42\ m/s[/tex]

The pitcher throws the baseball from a height of 1.25 meters, h = 1.25 m

Firstly finding t i.e. the stone takes to reach the ground. Using second equation of motion as follows :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

a = -g and u = 0

[tex]d=-\dfrac{1}{2}gt^2\\\\t=\sqrt{\dfrac{-2d}{g}} \\\\t=\sqrt{\dfrac{-2\times 1.25}{9.8}} \\\\t=0.5\ s[/tex]

Vertical component of the velocity is :

[tex]v_y=gt\\\\v_y=9.8\times 0.5\\\\v_y=4.9\ m/s[/tex]

Resultant velocity,

[tex]v=\sqrt{v_x^2+v_y^2} \\\\v=\sqrt{42^2+4.9^2} \\\\v=42.28\ m/s[/tex]

So, the resultant velocity of the ball before it hits the ground is 42.28 m/s.

Answer:

42.28 m/s

Explanation:

Mousa builds a bike ramp at 22 degrees that allows him to just barely jump his bike across a 5 m wide stream in the local neighborhood. Bilyan wants to replicate Mousa’s jump by building his own ramp, but at a different angle. At what angle should Bilyan construct his ramp?

A.
44 degrees

B.
11 degrees

C.
78 degrees

D.
68 degrees

Answers

If Bilyan is trying to get over the 5m wide stream by double. He wants to construct his at 44 degrees because it’s double of 22. Hope that helps

Which combination of processes from the water cycle is most likely to cause flooding? low runoff, low evaporation high runoff, high precipitation high runoff, low precipitation low runoff, high condensation

Answers

Answer:

High run off, low evaporation

Explanation:

High run off and low evaporation causes flood because if evaporation is low, there won't be changing of liquid water to gas or vapor meaning water will be in abundance and if there is much water in abundance it can lead to flooding. High run off can result in flooding if rainfall water overwhelm the capacity of the drainage system i.e the water is more than what the drainage system can carry, it can result in flooding.

Answer:

high runoff, low evaporation, low precipitation

Explanation:

High run off and low evaporation causes flood because if evaporation is low, there won't be changing of liquid water to gas or vapor meaning water will be in abundance and if there is much water in abundance it can lead to flooding. High run off can result in flooding if rainfall water overwhelm the capacity of the drainage system i.e the water is more than what the drainage system can carry, it can result in flooding.

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