Ceres is a large asteroid that orbits the Sun between Mars and Jupiter. Ceres has a mass of 9.4 x 1020 kg and a radius of about 4.7 x 10° m.

If a spacecraft attempts to land on the asteroid, what acceleration due to gravity will it experience near the surface?

Answers

Answer 1

Answer:

The acceleration due to gravity near the surface of Ceres is approximately 0.284 m/s²

Explanation:

The given parameters are;

The mass of Ceres = 9.4 × 10²⁰ kg

The radius of Ceres, r = 4.7 × 10⁶ m

By Newton's law of gravitation, we have;

[tex]Gravitational \ force\ on \ the \ spacecraft \ near \ Ceres, \ F =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]

Therefore;

[tex]Acceleration \ due \ to \ gravity \ g =G\dfrac{m_{1}}{r^{2}}[/tex]

Where;

m₁ = The mass of Ceres = 9.4 × 10²⁰ kg

m₂ = The mass of the spacecraft

G = 6.6743 × 10⁻¹¹ N·m²/kg²

Substituting the values, we get;

[tex]g \ near \ the \ surface \ of \ Ceres = \dfrac{ 6.6743 \times 10^{-11} \times 9.4 \times 10 ^{20}}{(4.7 \times 10^5)^{2}} \approx 0.284 \ m/s^2[/tex]

The acceleration due to gravity near the surface of Ceres ≈ 0.284 m/s²


Related Questions


30.) We observe motion by using a *blank* of *blank*. ​

Answers

Answer:

Point of Reference

Explanation:

what inflammatory molecule aids with muscle building and is released when muscles experience microscopic damage?

Answers

Answer:

Cytokines

Explanation:

Cytokines are known as inflammatory molecules which are also proteinous and aid signaling of certain processes and conditions in the body.

They are also normally involved in aiding muscle building and are released when muscles experience microscopic damage which may lead to the muscles being sore.

how is force spread over long and short durations of time?

Answers

I think you're having trouble with it only because of how you're trying to look at it.

Don't try to imagine "spreading force" over time. Just think about how long the force lasts !

Like . . .

If you push your doll stroller for 5 seconds, you'll get it up to a certain speed.

Next time, if you push it again with the same force, but you keep pushing for TEN seconds, you'll get it up to a faster speed.

Technically:

(force • time) = impulse.

You gave it more impulse the second time, so it got more momentum from you.

hey guys, l need some help! what is the weight of potatoes of mass 75 kg on the surface of the earth? (g=9.8m/s square) ans=735N l need process

Answers

Answer:

735N

Explanation:

Weight is a measurement of force.

F = Force

m = mass

a = acceleration

F = m*a

F = 75kg*9.8m/s²

F = 735N

a ball accelerate downward at 9.8 m/s2 with 1.7 of force. What is the mass of the ball?

Answers

Answer:

0.14 kg

Explanation:

m=F/a = (1.4N/9.8 m/s/s) =0.14 kg

A rocket, initially at rest on the ground, accelerates straight upward from rest with constant (net) acceleration 53.9 m/s2 . The acceleration period lasts for time 6.00 s until the fuel is exhausted. After that, the rocket is in free fall.

Find the maximum height ymax reached by the rocket. Ignore air resistance and assume a constant free-fall acceleration equal to 9.80 m/s2 .

Answers

Answer:

maximum height reach by rockect =970.2metre

Explanation:

When dribbling you should?
a. Use both feet.

b.Use frequent small touches of the ball.

C.Protect the ball with your body.

D. All of the above.

Answers

D all of the above (:

Which situation has the most potential energy
А.
a 100 kg student diving from 2 meters off the water
OOO
B.
a 100 kg student diving from 3 meters off the water
C
a 200 kg student diving from 2 meters off the water
D.
a 200 kg student diving from 3 meters off the water

Answers

Answer:

B

Explanation: you are staying longr to jump 3 meters than one meter

3. Four projectiles, A, B, C, and D, were launched from, and returned to, level ground.
The data table below shows the initial horizontal speed, initial vertical speed, and
time of flight for each projectile.
Data Table
Projectile Initial Horizontal Speed (m/s) Initial Vertical Speed (m/s) Time of Flight (s)
A
40.0
29.4
6.00
B
60.0
19.6
4.00
С
50.0
24.5
5.00
D
80.0
19.6
4.00
Which projectile traveled the greatest horizontal distance? [Neglect friction.]

Answers

Answer is D

Taking the test rn and found out the answer

The projectile D traveled the greatest horizontal distance.

What is projectile motion?

Projectile motion is a form of motion experienced by an object or particle that is projected near the Earth's surface and moves along a curved path under the action of gravity only.

What is projectile horizontal distance?

Horizontal range of a projectile is the horizontal distance travelled by the projectile between launch and the landing points.

The projectile horizontal distance is depend on horizontal speed and time in air.

In all these four projectile, projectile D has maximum horizontal speed and time in air.

To know more about Projectile here

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A student, who weighs 720N, is standing on a bathroom scale and riding an elevator that is moving downwards with a speed that is decreasing at a rate of 3.1m/s2.

What is the student's mass?
What is the net force on the student?
What value does the scale read?

Answers

Answer:

1) The mass of the student is approximately 73.39 kg

2) The net force on the student is approximately 947.523 N

3) The value the scale will read is approximately 96.59 kg

Explanation:

The given parameters are;

The weight of the student = 720 N

The speed at which the elevator is decreasing = 3.1 m/s²

1) The weight of the student = The mass of the student × The acceleration due to gravity

The acceleration due to gravity is a constant = 9.81 m/s²

Substituting the known values gives;

720 N = The mass of the student × 9.81 m/s²

∴ The mass of the student = 720 N/(9.81 m/s²) ≈ 73.39 kg

2) The forces acting on the student are;

i) The force of gravity which is the weight of the student acting downwards

ii) The inertia force of the slowing elevator acting downwards in the same direction as the weight of the student

The net force, [tex]F_{net}[/tex] = The weight of the student + The inertia force of the slowing elevator

∴ The net force, [tex]F_{net}[/tex] = 720 N + 73.39 kg × 3.1 m/s² ≈ 947.523 N

3) The scale will read the mass of the student as follows;

Mass reading of student on the scale = Force on scale/9.81

∴ Mass reading of student on the scale = 947.523/9.81 ≈ 96.59 kg

The value the scale will read = 96.59 kg.

The mass of student is, 73.46 kg.

The net force acting on the student is 942.72 N.

The reading of the scale is 96.70 kg

Given data:

The weight of student is, W = 720 N.

The magnitude of acceleration is, [tex]a = 3.1 \;\rm m/s^{2}[/tex].

The standard expression for the weight is,

[tex]W =mg[/tex]

Here, g is the gravitational acceleration. And m is the mass of student.

Solving as,

[tex]W =mg\\\\720 = m \times 9.8\\\\m = 73.46 \;\rm kg[/tex]

Thus, the mass of student is, 73.46 kg.

Since, the force of gravity which is the weight of the student acting downwards . The inertia force of the slowing elevator acting downwards in the same direction as the weight of the student. Then the net force is,

[tex]F_{net} = W+(ma)[/tex]

Solving as,

[tex]F_{net} = 720+(73.46 \times 3.1)\\\\F_{net}=947.72 \;\rm N[/tex]

Thus, we can conclude that the net force acting on the student is 942.72 N.

The reading of the scale is given as,

[tex]reading=\dfrac{F_{net}}{g}[/tex]

Solving as,

[tex]reading = \dfrac{947.72}{9.8}\\\\reading=96.70 \;\rm kg[/tex]

Thus, we can conclude the reading of the scale is 96.70 kg.

Learn more about the concept of gravitational acceleration here:

https://brainly.com/question/25316208

What is the speed of a car that
accelerates at a rate of 10 m/s2 for a
total of 25 seconds?

Answers

Answer:

250 m/s

Explanation:

The speed of the car can be found by using the formula

v = a × t

where

a is the acceleration

v is the speed

t is the time

From the question we have

v = 10 × 25

We have the final answer as

250 m/s

Hope this helps you

Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement?

Answers

Answer:

80 km is distance and 30km north is displacement

Explanation:

distance= 50+30=80km

displacement= 50-20=30

his displacement is 30km north

When Tyler drives 50 km north and then drives back 30 km south, we have:

1. The distance that he covers is 80 km.

2. Tylor's displacement is 20 km.  

1. The distance is a scalar that is given by the sum of the kilometers traveled by Tyler as follows:

[tex] d = d_{1} + d_{2} = 50 km + 30 km = 80 km [/tex]

Hence, the distance traveled by Tyler was 80 km.

2. The displacement is a vector that depends on the direction of travel. Takin the north direction as positive we have:

[tex] x = x_{1} + x_{2} = 50 km + (-30 km) = 20 km [/tex]

Therefore, Tyler's displacement is 20 km.

You can find more about displacement and distance here: https://brainly.com/question/4307551?referrer=searchResults

I hope it helps you!            

Which describes the role of oxygen in photosynthesis? *
It is a reactant, so it is released by the plant.
It is a product, so it is released by the plant.
It is a reactant, so it enters the plant.
It is a product, so it enters the plant.

Answers

Answer:

It is a product, so it is released by the plant.

Explanation:

[tex]6CO2 + 6H2O[/tex] → [tex]C6H12O6 + 6O2[/tex]

The plant uses water and carbon dioxide to create glucose and oxygen. Glucose is plant food, and Oxygen is given off as a byproduct.

Answer:

It is a product, so it is released by the plant.

Explanation:

HELP PLS HURRY !!!!!!!!!

Answers

The answer is Electrical Energy

which theory is a famous for quantum physics ​

Answers

the quantum mechanics theory

when a car suddenly stops,the objects in the backseat are thrown forward.this is explained by-

A.Newton's first law of motion
B.Newton's second law of motion
C.Newton's third law of motion
D.the universal law of gravitation

Answers

Answer:law of interia(1st law)

Explanation:

Adhira loves to ride her bike around the neighborhood. She starts riding 1.2 miles at 30° S of E. Then, she rides another 2.0 miles at 20° W of S. Next, she rides 1.6 miles at 30° S of W. And finally, she rides 2.6 miles at 15° W of N. What is her final displacement from her starting point?

Answers

Answer:

D = 1.8677 miles , θ = 24.28º at South of West

Explanation:

This is an exercise in adding vectors, the easiest way to solve them is to decompose the vectors and add each component algebraically. Let's use trigonometry

first displacement. d = 1.2 miles to 30º south of East

     cos ( 360-30) = cos (-30) = x₁ / d

     sin (-30) = y₁ / d

     x₁ = d cos (-30)

     y₁ = d sin (-30)

     x₁ = 1.2 cos (-30) = 1,039 miles

     y₁ = 1.2 sin (-30) = -0.6 miles

second shift. d = 2.0 miles to 20º West of South

       cos (270-20) = x₂ / d

       cos (250) = y₂ / d

       x₂ = 2.0 cos 250 = -0.684 miles

       y₂ = 2.0 sin250 = -1.879 miles

Third displacement. d = 1.6 miles to 30º South of West

       cos (180 + 30) = x₃ / d

       sin (210) = y₃ / d

       x₃ = 1.6 cos 210 = -1.3856 miles

       y₃ = 1.6 sin 210 = -0.8 miles

Fourth displacement. d = 2.6 miles to 15º West of North

       cos (90 + 15) = x₄ / d

       sin (105) = y₄ / d

       x₄ = 2.6 cos 105 = -0.6729 miles

       y₄ = 2.6 sin 105 = 2,511 miles

having all the components we add

x-axis  (West-East direction)

       X = x₁ + x₂ + x₃ + x₄

       X = 1.039 -0.684 - 1.3846 - 0.6729

       X = -1.7025 miles

   

       Y = y₁ + y₂ + y₃ + y₄

       Y = -0.6 -1.879 -0.8 +2.511

       Y = -0.768

The modulus of this displacement is we use the Pythagorean theorem

      D = √ (X² + Y²)

      D = √ (1.7025² + 0.768²)

      D = 1.8677 miles

let's use trigonometry to find the direction

       tan θ = Y / X

       θ = tan⁻¹ Y / x

       θ = tan⁻¹ (0.768 / 1.7025)

       θ = 24.28º

as the two components are negative this angle is in the third quadrant

therefore in cardinal direction form is

         θ = 24.28º at South of West

Amanda studies a waveform. She labels parts of the waveform using variables (P,Q,R, and S), as shown in the image.
Which label part represents the wavelength

Answers

Answer:

Q

Explanation:

To know which symbol defines the wavelength, we must know the definition of wavelength.

Wavelength can be defined as the distance between two successive crests (i.e the highest part) or troughs (the lowest part) of a wave.

Considering the diagram given above, Q shows the distance between two successive crests (i.e the highest part) of the wave. Therefore, Q is the wavelength of the wave given in the diagram above.

HELP ME PLEASE
I don’t know what the answer is.

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Explanation:

Solids.Sound travels fastest through solids. This is because molecules in a solid are packed against each other. When a vibration begins, the molecules of a solid immediately collide and the compression wave travels rapidly.Sound moves slowest through a gas. That’s because the molecules in a gas are spaced very far apart. In order for sound to travel through air, the floating molecules of matter must vibrate and collide to form compression waves. Because the molecules of matter in a gas are spaced far apart, sound moves slowest through a gas.

Sound travels faster in liquids than in gases because molecules are packed more closely together. This means that when the water molecules begin to vibrate, they quickly begin to collide with each other forming a rapidly moving compression wave.

HELP PLEASE

A load is a device that changes electrical energy into other forms of energy. Which load converts electrical energy into thermal energy by passing an electric current through a high-resistance material?



A.
Hand-powered generator

B.
Toaster

C.
Fan

D.
Electrical drill

Answers

Answer:

A toaster because you plug it up for electric energy and heat to toast it

Which Sl units are combined to describe energy?
A. Kilograms and m/s2
B. Kilograms and joules
C. Kilograms and m/s2
D. Kilograms and meters

Answers

Answer:

kilograms and m²/s²

Explanation:

The SI units combined to describe energy is kilograms and m²/s² ;

  Energy can be derived from;

Potential energy  = mgh

   Units               = kg x m/s² x m

                          = kg m²/s²

Even if we use kinetic energy, we still get kg m²/s²

what force is the total force felt by an object?

Answers

Answer:

net force

Explanation:

Net force felt by an object.

It is a push or pull and a force

Which is the balanced equation for Sg + O2 → SO2?
OS: + 016 — 8S02
O S₂ + O₂S₃ + O₂
O S8+ O₂S₂O₂
O Sg + 802 8S02

Answers

The balanced equation for S(g) + O₂ → SO₂ is as follows: S₈ + 8O₂ → 8SO₂ (option C).

What is a balanced equation?

A balanced equation is a chemical equation in which the number of atoms of each element on both sides of the equation are the same.

This means that the number of the atoms involved in the reactants side is equal to the number of atoms in the products side.

Balancing chemical equations involves the addition of stoichiometric coefficients to the reactants and products.

According to this question, sulfur reacts with oxygen gas to produce sulfur dioxide as follows:

S₈ + O₂ → SO₂

The balanced chemical equation is as follows:

S₈ + 8O₂ → 8SO₂

Learn more about balanced equation at: https://brainly.com/question/28294176

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If you are in a car at a stop sign and then the driver
presses on the gas pedal really hard, which way is the car
accelerating?

Answers

Answer:

it wont be because the hand brake would be on

The car is accelerating forward.

please help

a puck moves 2.35 m/s in a -22 degree direction a hockey stick pushes it for .215 s changing its velocity to 6.42 m/s in a 50 degree direction. What is delta x?

Answers

Answer:

0.678m

Explanation:

Find: Δx

Δx = ½ (v + v₀) t

Δx = ½ (4.127 m/s + 2.179 m/s) (0.215 s)

Δx = 0.678 m

Device A has a current of 0.4 A and a resistance of 3 Ω. Device B has a current of 0.6 A and a resistance of 3Ω. Which device would be more energy efficient?

Answers

Your answer would be Device A.

Answer:

Device A because it would use more voltage :D

Explanation:

hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest

Answers

I am pretty sure it’s A
The cue exerts force onto the white ball which pushes the blue ball into the direction of the hole.

Answer:

A. Cue, White Ball, Blue Ball

Explanation:

Visualize in which order things are being hit

how do the early efforts of women during the suffrage movement compare to the later years

Answers

The idea that women's liberation is also men's liberation arouses the awakening of feminism. In 1966 Frieden and other feminists founded the National Organization for Women. Then other women's organizations for equal rights were formed in the United States and Western Europe. These organizations sought to overturn discriminatory laws and practices that forced women to hold down their status, such as discrimination in matters of contract and property ownership, employment and wages, the treatment of wage income, and issues relating to sex and child-bearing. The growing feminist movement more broadly seeks to change social stereotypes that women are more vulnerable, passive and dependent, less rational and emotionally reactive than men. Feminism strives for greater freedom for women in the workplace and makes them financially and psychologically independent of men, if they wish. Feminists criticized society's general emphasis on women as objects of sexual desire and sought to raise women's awareness and expand their opportunities in order to achieve equality with men. Another objective of feminism is to promote women's participation in all areas of political decision-making and social life.

A man travels 25 kilometers in 15 minutes. A police officer stops him and
writes a ticket for speeding. The posted speed limit is 80 kilometers per
hour. Did the man exceed the posted speed limit?

Answers

Answer:

yes

Explanation:

cuz 15x2=30 30x2=60 60=1 hour, and the limited is 80 km per hour

15=25

15x4=60 25x4=100

so yes

he was going 100km per hour

This man proposed that all matter was composed of atoms

Answers

Answer:

John Dalton

Explanation:

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