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
The space shuttle design team spent two years working with sketches and models before building the shuttle. Why were these steps important?
1.Sketches and models allowed for the design to be modified before investing huge amounts of time and money to build the actual shuttle.
2.Sketches and models allowed for many different astronauts to provide input on the design of the shuttle before investing money in the actual shuttle.
3.Sketches and models helped astronauts in their training program as they prepared for their missions.
Answer:
sketches and models helped astronauts in their training program as they prepare for their missions
A train is travelling at 15 m/s. It accelerates at 3 m/s² for 20 seconds. How far does the train travel in this time?
The distance traveled by the train is 900 m.
The given parameters:
Initial velocity of the train, u = 15 m/sAcceleration of the train, a = 3 m/s²Time of motion, t = 20 sWhat is distance?Distance is a scalar quantity that shows the total path covered by an object.The distance traveled by the train is calculated as follows;
[tex]s = ut + \frac{1}{2} at^2\\\\s = (15 \times 20) + (0.5 \times 3 \times 20^2)\\\\s = 900 \ m[/tex]
Thus, the distance traveled by the train is 900 m.
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Answer:
900m
Explanation:
Use the equation: acceleration (a) = change in velocity (v – u) / time taken (t)
Rearrange to solve for the final velocity (v):
v = u + at
Substitute in values and solve:
v = 15 m/s + 3 m/s2 × 20 s = 75 m/s
Rearrange the equation for uniform acceleration (v2 – u2 = 2as) to solve for distance (s):
s = (v2 – u2) / 2a
s = ((75 m/s)2 – (15 m/s)2) / (2 × 3 m/s2)
s = (5,625 m2/s2 – 225 m2/s2) / 6 m/s2
s = 5400 m2/s2 / 6 m/s2
s = 900 m
hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest
Answer:
A. Cue, White Ball, Blue Ball
Explanation:
Visualize in which order things are being hit
Circle the letter of each factor that determines whether a molecule
is polar or nonpolar.
a. the number of atoms in the molecule
b. the type of atoms in the molecule
c. the number of bonds in the molecule
d. the shape of the molecule
n
Which of the following has a crystalline appearance?
baking soda
salt
baking powder
corn starch
Answer:
B: Salt
Explanation:
I answered this correct beforehand.
5. A beach ball, moving with a speed of 1.27 m/s, rolls off a pier and hits the water 0.75 m from
the end of the pier.
a. How high is the pier above the water?
b. If the same beach ball moved off at 4.50 m/s, how far out from the end of the pier would it land?
Answer:
A. 1.71 m
B. 2.66 m
Explanation:
A. Determination of the height of the pier.
We'll begin by calculating the time taken for the ball to get to the water
This can be obtained as follow:
Horizontal velocity (u) = 1.27 m/s,
Horizontal distance (s) = 0.75 m
Time (t) =?
s = ut
0.75 = 1.27 × t
Divide both side by 1.27
t = 0.75 / 1.27
t = 0.59 s
Finally, we shall determine the height of the pier as follow:
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) = 0.59 s
Height of pier (h) =?
h = ½gt²
h = ½ × 9.8 × 0.59²
h = 4.9 × 0.3481
h = 1.71 m
Thus, the height of the pier is 1.71 m
B. Determination of the horizontal distance.
Horizontal velocity (u) = 4.50 m/s
Time (t) = 0.59 s
Horizontal distance (s) =?
s = ut
s = 4.5 × 0.59
s = 2.66 m
Thus, if the ball moved at a velocity of 4.50 m/s off the pier, it will land at a distance of 2.66 m from the end of the pier.
What is the mass of a falling rock if it produces a force of 147 N with an acceleration of 9.8 m/s2?
Answer:
15 kgExplanation:
The mass of the object 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{147}{9.8} \\ [/tex]
We have the final answer as
15 kgHope this helps you
A windshield hits a bug with force of 10 N.
What force does the bug hit the windshield?
Explain using Newton's third law.
What is the speed of a
rocket that travels
8,000m in 13 seconds?
Answer:
speed of rocket=615.38m/s
Explanation:
HURRY PLEASE!!I’ll mark you as brainiest!! 15 points
compare the circuits and lightbulbs below. which would be brighter? a or b? explain why.
Answer:
I think A. would be brighter
Explanation:
Circuit A has only one bulb so it gets 100% of the electricity
Circuit B has two bulbs which means that they only get 50% of the electricity because it has to be split equally.
Hope it helps!
Unit 2 kinetic energy mastery test
Answer: kinetic energy is Energy of motion.
Explanation:
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
Answer:
A toaster because you plug it up for electric energy and heat to toast it
43
Select the correct answer.
According to the law of reflection, what is the relationship between the angle of incidence and the angle of reflection?
OA. The angle of reflection is twice the angle of incidence.
OB.
The angle of reflection is half the angle of incidence.
OC. The angle of reflection is equal to the angle of incidence.
OD. The angle of reflection is independent of the angle of incidence.
ОЕ.
The angle of reflection is always perpendicular to the angle of reflection.
Reset
Next
Answer is c, they are equal:
Explanation:
plzzzz help me and I will mark u the brainiest
what is the coefficent for hydrochloric acid
Answer:
HCI
Explanation:
I dont know what you mean by coefficient but that's the thing you would see in the periodic table
Calculate the density of a rock that has a mass of 32 grams and a volume of
4.5 mL.
Answer:
85.2ml
Explanation:
What happens to the gravitational force between two objects as the bodies become closer to each other? A. The gravitational force begins to repel the objects. B. The gravitational force increases. C. The gravitational force decreases. D. The gravitational force stays the same.
Answer:
Explanation:
The gravitational force between two objects becomes weaker if the two objects are moved apart and stronger if they are brought closer together; that is, the force depends on the distance between the objects.
The gravitational force between two objects as the bodies become closer to each other increases.
Gravitational force is force of attraction between two masses. Gravitational force(F) between two bodies is directly proportion to the product of masses(m₁,m₂) of two bodies and inversely proportional to square of distance(r) between them. mathematically it is written as,
F ∝ m₁.m₂
F ∝ 1/r²
F = G m₁,m₂÷r²
where G is gravitational constant, whose value is 6.6743 × 10⁻¹¹ m³ kg-1s⁻².
Force is expressed in Newton N in SI unit. its dimensions are [M¹L¹T⁻²].
As distance decreases the Force increases
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The diagram below shows the velocities of two runners.
11 m/s west
Runner 1
5 m/s east
Runner 2
From the frame of reference of runner 1, what is the velocity of runner 2?
O A. 5 m/s east
O B. 6 m/s east
C. 16 m/s west
O D. 16 m/s east
Answer : 16 m/s east
Explanation: Trust the process!!
From the frame of reference of runner 1, the velocity of runner 2 will be D) 16 m/s east
What is relative velocity ?
The relative velocity is defined as the velocity of an object with respect to another observer
When two bodies are moving in opposite directions , relative velocity get added and if bodies are moving in same direction , relative velocity will get subtracted .
From the frame of reference of runner 1, the velocity of runner 2 will be
v (relative) = v1 + v1
v1 = velocity of runner 1 = 11m/s west
v2 = velocity of runner 2 = 5m/s
v = 11 + 5 = 16 m/s
correct answer will be O D. 16 m/s east as runner 2 is running in east direction
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If the starting population of 5 rabbits grows at 200% each year, how many will there be 50 years?
Answer:
Alot of god dam rabbits
Explanation:
Answer:
million rabbits becauseeverything
what is the spring constant for a spring if pulling it back .0391m causes a force in the opposite direction of .922N?
-0.361N
.361N
-2.36N
2.36N
Answer: correct me if i'm wrong but is it 0.361N
Explica la relación entre momento de torsión y aceleración angular mencionando tres ejemplos Una varilla uniforme delgada mide 1.5 m de longitud y tiene una masa de 6kg si la varilla se hace girar en un centro y se queda en rotación con una velocidad angular de 16 rad/seg calcular la cantidad de movimiento
Answer:
1) τ = I α whereby the torque is provided by the angular acceleration
2) L = 216 Kg m² / s
Explanation:
1) Let's start with Newton's second law
F = m a
multiply by the arm or perpendicular distance
F r = m a r
if the distance is not perpendicular a way of realizing the relations using the vector product
τ = F r = F x r
the bold are vectors. The angular and linear acceleration are related
a = α r=
τ = m (α r) r
τ = (m r²) α
the inertia of the rotational motion is
I = m r²
we substitute
τ = I α
whereby the torque is provided by the angular acceleration.
As an example we have:
* a spinning disk
* a ball rotating in the air
* a pulley
2) The rotational momentum is
L = I w
the moment of inertia of a rod that through its center
I = m L²
we substitute
L = m L² w
let's calculate
L = 6 1.5 2 16
L = 216 Kg m² / s
La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.
1) La relación entre el momento de torsión ([tex]M[/tex]), una variable cinética y relacionada con la aplicación de una fuerza externa cuya línea de proyección no cruza el centro de masa del objeto, y la aceleración angular ([tex]\alpha[/tex]), una variable cinemática, es la resistencia del cuerpo a rotar, la cual es función de su masa y su geometría, representada por la variable de momento de inercia.
A continuación, presentamos tres ejemplos del concepto:
Giro de una tuerca como consecuencia del giro de una llave inglesa por la acción de una mano y un brazo.Transmisión del movimiento a través de la transmisión de una bicicleta.Cierre de una compuerta mediante una transmisión rígida por engranes y un volante.2) Asumamos que la varilla uniforme es de masa constante, con una rotación a velocidad angular constante y con un centro de rotación localizado en el centro geométrico de la varilla. La cantidad de movimiento es expresada mediante la siguiente ecuación:
[tex]L = I\cdot \omega[/tex] (1)
Donde:
[tex]L[/tex] - Cantidad de movimiento angular, en kilogramos-metro cuadrado por segundo.[tex]I[/tex] - Momento de inercia, en kilogramos-metro cuadrado.[tex]\omega[/tex] - Rapidez angular, en radianes por segundo.El momento de inercia de una varilla uniforme con centro de rotación en el centro queda expresado por la siguiente fórmula:
[tex]I = \frac{1}{12}\cdot m\cdot L^{2}[/tex] (2)
Donde:
[tex]m[/tex] - Masa de la varilla, en kilogramos.[tex]L[/tex] - Longitud de la varilla, en metros.Al aplicar (2) en (1), tenemos la expresión resultante:
[tex]L = \frac{1}{12} \cdot m\cdot L^{2}\cdot \omega[/tex] (3)
Si sabemos que [tex]m = 6\,kg[/tex], [tex]L = 1.5\,m[/tex] y [tex]\omega = 16\,\frac{rad}{s}[/tex], entonces la cantidad de movimiento angular es:
[tex]L = \frac{1}{12}\cdot (6\,kg)\cdot (1.5\,m)^{2}\cdot \left(16\,\frac{rad}{s} \right)[/tex]
[tex]L = 18\,\frac{kg\cdot m^{2}}{s}[/tex]
La cantidad de movimiento angular de la varilla uniforme es 18 kilogramos-metro cuadrado por segundo.
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A man has a mass of 66 kg on Earth. What is his weight in Newtons?
Answer:
answer is 66 kilograms-force = 647.2389 newtons
Explanation:
Answer:
[tex]\boxed {\boxed {\sf 646.8 \ Newtons }}[/tex]
Explanation:
Weight in Newtons can be found by multiplying the mass times the acceleration of gravity.
[tex]W=m*g[/tex]
The mass of the man is 66 kilograms on Earth.
Earth has an acceleration of gravity that is 9.8 meters per square second.
[tex]m= 66 \ kg \\g=9.8 \ m/s^2[/tex]
Substitute the values into the formula.
[tex]W=66 \ kg *9.8 \ m/s^2[/tex]
Multiply.
[tex]W=646.8 \ kg*m/s^2[/tex]
1 kg * m/s² is equal to 1 Newton, therefore our answer of 646.8 kg *m/s² is also equal to 646.8 Newtons, or N.
[tex]W=646.8 \ N[/tex]
The man's weight in Newtons in 646.8 Newtons.
The electromagnetic waves used in a microwave ovens has a frequency of 2540000000 Hz. The speed of the waves is 300000000 m/s. What is their wavelength?
Answer:
The wavelength of the waves is approximately 0.12 m.
Explanation:
An electromagnetic waves are generated as a result of the interaction between electric and magnetic fields. They do not require material medium for their propagation, and travel at the same speed (i.e the speed of light).
The speed, frequency and wavelength of a wave are related by:
speed = frequency x wavelength
wavelength = [tex]\frac{speed}{frequency}[/tex]
Given: speed of the wave = 3 x [tex]10^{8}[/tex], frequency = 2.54 x [tex]10^{9}[/tex].
Thus,
wavelength = [tex]\frac{300000000}{2540000000}[/tex]
= 0.11811
≅ 0.12
wavelength ≅ 0.12 m
Therefore, the wavelength of the waves is 0.12 m.
Dianne pulls a box to the right with a force of 10 N, and Javier pulls the same box to the left with a force of 5 N.
What is the net force on the box?
Answer:
chickens
Explanation:
Answer:
The force that is “left over” after all of the forces acting on an object are cancelled and/or combined is called the net force. A 3 N force and a 7 N force act in the same direction on a box. A 3 N force and a 7 N force act in opposite directions on a box.
If a rock is found inside of another rock layer, then the rock inside must be younger than that layer surrounding it. Question 1 options: True False
Answer:
False.
Explanation:
The layer beneath the another rock will be older. The sequence will not matter in the layers of the rock. The layer inside will be older than the upper layer. This is called law of Superposition. Sedimentary rocks forms the youngest layer of the rocks.
Which Box in the diagram above, should this picture go into?
Box A
ООО
O Box B
O Box C
Plzz answerr idk
A ball is thrown upwards from the ground. The ball reaches its maximum height after 3.3 s. What is the initial velocity of the ball at the moment the ball is released and starts to rise?
How can the potential energy in magnets be used to create kinetic energy in an object without making contact?
Answer: If you move a magnet quickly through a coil of copper wire, the electrons will move - this produces electricity.
Explanation:
The mass of the sun is 1.9891030 kg and the mass of the Earth is 5.9721024kg. If the Earth’s acceleration toward the sun is 0.0059 m/s/s, what is the sun’s acceleration toward the Earth?
Answer:
this is the answer according to my calculations
Explanation:
0.001.9
Write an equation of the line in slope-intercept form.
Please explain.
Answer:
y = [tex]-\frac{1}{4}[/tex]x + 3
Explanation:
The equation of a straight line is given as:
y = mx + c
y and x are the coordinates
m is the slope
c is the y -intercept
The y-intercept = 3;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
x₁ = 0
x₂ = 4
y₁ = 3
y₂ = 2
Slope = [tex]\frac{2-3}{4 -0 }[/tex] = [tex]-\frac{1}{4}[/tex]
y = mx + c
y = [tex]-\frac{1}{4}[/tex]x + 3