The average net acceleration that the rocket must maintain over this interval in order to achieve this goal is 9.807 m/s² (rounded to 2 decimal places).
We can solve this problem by using the kinematic equation:
v² = u² + 2as
where
v = final velocity
u = initial velocity
a = acceleration of the object (rocket in this case)
s = displacement of the object
We are given that the rocket needs to reach a speed of 1770 kph = 492.22 m/s (1 kph = 0.2777777778 m/s) when it reaches a height of 53.8 km = 53,800 m. We can assume that the rocket starts from rest (u = 0). Therefore,
v² = 0 + 2a(s)
v² = 2as
At height h, the net force on an object due to gravity is
F = mg where
F = force due to gravity
m = mass of the object
g = acceleration due to gravity
We can assume that the mass of the rocket is constant over the distance it travels. Therefore, we can replace m with its value. Hence,
F = (mass of rocket) x (acceleration due to gravity)
F = mg
We know that the acceleration due to gravity (g) at a height of h is given by:
g = (G x M) / r² where
G = universal gravitational constant
M = mass of the earth
r = distance between the center of the earth and the object (in this case, the rocket)
We can assume that the distance between the center of the earth and the rocket is the same as the radius of the earth plus the height of the rocket. Therefore,
r = (radius of the earth) + h = (6,371 km) + (53.8 km) = 6,424.8 km = 6,424,800 m
Substituting the values of G, M, and r,
g = (6.67 x 10^-11 N m²/kg² x 5.97 x 10^24 kg) / (6,424,800 m)² = 9.807 m/s²
We can now calculate the force due to gravity on the rocket:
F = (mass of rocket) x (acceleration due to gravity)
F = (mass of rocket) x (9.807 m/s²)
Let the mass of the rocket be m kg. Therefore,
F = m x 9.807 m/s²
We can now apply Newton's second law of motion.
F = ma
Therefore, m x 9.807 = ma
Therefore, a = 9.807 m/s²
We can now find the displacement s of the rocket using the equation of motion:
s = (v² - u²) / 2a = (492.22 m/s)² / (2 x 9.807 m/s²) = 12,675.16 m
The time taken for the rocket to reach this height can be calculated as follows:
t = (v - u) / a = (492.22 m/s) / (9.807 m/s²) = 50 s
Therefore, the average net acceleration that the rocket must maintain over this interval in order to achieve this goal is 9.807 m/s² (rounded to 2 decimal places). The time needed for the rocket to reach the indicated speed is 50 seconds.
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What are some some examples of estimator variables (forensics)
Answer:
Estimator variables are those that cannot be controlled by the criminal justice system. They include simple factors like the lighting when the crime took place or the distance from which the witness saw the perpetrator.
Explanation:
Mass or weight? On a large piece of paper, draw a table with two columns: one for mass and one for weight.
Each of the statements below should start with either the word 'mass' or the word 'weight'.
Work in pairs to decide in which column to put each of the statements. When you have decided, write the statement in the appropriate column.
The statements are:
... of an object is affected by the strength of gravity on a planet. is measured in newtons, N.
... is measured in kilograms, kg.
....is not affected by gravity.
....of an object decreases as the object moves further away from Earth. .
...is the quantity of matter in an object.
.....is the property of a planet that makes it have gravity
The appropriate term for each statement is as follows;
Weight: of an object is affected by the strength of gravity on a planet. is measured in newtons, N. Mass: is measured in kilograms, kg. Mass: is not affected by gravity.Weight: of an object decreases as the object moves further away from Earth. .Mass: is the quantity of matter in an object. Weight: is the property of a planet that makes it have gravity What is weight and mass?Weight is the force on an object due to the gravitational attraction between it and the Earth (or whatever astronomical object it is primarily influenced by).
Mass, on the other hand, is a quantity of matter cohering together so as to make one body, or an aggregation of particles or things which collectively make one body or quantity.
Weight is measured in Newton's because it is a force while mass is measured in kilograms. The weight is affected by the gravity of the planet the object exists.
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The NGC 3603 region of space is shown below. It is a
cloud of gas and dust. Stars are forming in this cloud,
How would NGC 3603 be classified?
O A. As a galaxy
O B. As a nebula
O C. As a planet
D. As a solar system
Answer:
A. NGC 3603 would be classified as Nebula
Explanation:
calculate the change in gravitational potential energy of a stone of mass 0.55 kg as it falls through a distance of 2.7 m. ignore air resistance (mention formula)
Answer:
14, 85 J
Explanation:
The formula of potential Energy (P.E.) is
P.E. = m * g * h, where m is the mass in kilograms, g is the acceleration due to gravity (about 10 m / \(s^{2}\) at the surface of the earth) and h is the height in meters.
Here P.E. is 0,55 kg * 10 m/s * 2,7 m = 14, 85 J
B. Using the equation above, solve for t when vy = 0.0 m/s, vy(initial) = 57.45 m/s, and
g = 9.81 m/s2.
Answer:
-5.86secs
Explanation:
Using the equation of motion;
vy (final) = vy(initial) + gt
Substitute
0.0 = 57.45 + 9.81t
-57.45 = 9.81t
t = -57.45/9.81
t = -5.86secs
Hence the value of t is -5.86secs
The value of t will be 5.86 seconds
when a body is thrown upward with an initial velocity \(v_{y}(initial)\) the equation on motion is written as:
\(v_{y}(final)= v_{y}(initial)-gt\)
where g is the acceleration due to gravity which is 9.8 m/\(s^{2}\) acting opposite to the direction of motion and t is the time taken
\(v_{y}(final)- v_{y}(initial)=-gt\)
⇒ \(0-57.45=-9.8t\)
⇒ t = 57.45/9.8
t = 5.86 s
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The space around a charge or a pole in which a force is experienced is called a:
test charge
domain
force line
field
Answer:
The space around a charge or a pole in which a force is experienced is called a magnetic field. And a cluster of aligned magnetic atoms is a magnetic domain. When the clustered regions are aligned with one another, they form a magnet
A box-and-whisker plot. the number line goes from 10 to 65. the whiskers range from 15 to 60, and the box ranges from 40 to 50. a line divides the box at 45. between which two values would 50% of the data lie? select all that apply. a. 15 and 40b. 15 and 45 c. 40 and 50 d. 45 and 50 e. 45 and 60
A plan with a box and a whip. The range of the number line is 10 to 65. The box runs from 40 to 50, while the whiskers vary from 20 to 60. At 45 degrees, a line splits the box.
The box runs from 40 to 50, while the whiskers vary from 20 to 60. At 45 degrees, a line splits the box. How many data points are there between the two whiskers? 25% of the data is contained up to Q1. 25% of the data comes from Q3 to the maximum. Therefore, 50% of the data is spread across both whiskers. How Do I Use the Calculator for the Box and Whisker Plot? The box and whisker plot calculator should be used as follows: Step 2: To obtain the quartile value, press the "Calculate" button now.
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Answer: (15 & 45), (40 & 50), (45 & 60)
Correct Answer 100%! Pls, give me brainliest. Thank You!
The first step in responding to any sports injury is to __________.
A.
remove the danger that lead to the injury
B.
ensure that the player's air way is not obstructed
C.
begin chest compressions for CPR
D.
ask the player to stop playing the sport
Please select the best answer from the choices provided.
A
B
C
D
Answer:
remove the danger that lead to injury
Explanation:
The best way is
spot the reason for injuryThen try best to remove that cause as fast as possible.Then spot the place of body where injury happenedNOW treat for thatAnswer:
A
Explanation:
The first step in responding to an injury in sports is to remove the danger that led to the injuryB cannot be correct because if an athlete suffers a broken leg you don't check their air ways primarilyC is also not right as that is only when the player is unconsciousD is not right as that is the result of only a very life-threatening injuryA is the right answerHow is the answer D?
The graph that corresponds to 0.1 s in one complete cycle is graph D.
option D is the correct answer.
What is the period of a wave?The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.
Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.
From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;
Period = 1 s / 10
Period = 0.1 s
From the graphs, the only option that has one complete cycle in one second is option D.
Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.
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light waves bounce off of an object and move through your cornea, pupil, and lens. which step is this in the 4-step process of sensation and perception?
The step where light waves bounce off an object and move through the cornea, pupil, and lens corresponds to the first step in the four-step process of sensation and perception.
The four-step process of sensation and perception involves the following steps: stimulation, transduction, transmission, and interpretation. In the context of vision, the process begins with the stimulation of light waves bouncing off an object. This stimulation occurs when light waves from the object enter the eye.
The light waves first pass through the cornea, which is the transparent outer covering of the eye. Then they enter the pupil, which is the adjustable opening in the center of the iris. The iris controls the size of the pupil, regulating the amount of light that enters the eye. After passing through the pupil, the light waves reach the lens, which further focuses the light onto the retina at the back of the eye.
This initial step of the light waves moving through the cornea, pupil, and lens represents the process of stimulation in the sensation and perception cycle. It involves the physical interaction of light with the eye's structures, setting the stage for further processing and interpretation of visual information.
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If the voltage of a circuit is 6V, and the power is 4W, what is its resistance?
Answer:
9 ohms
Explanation:
P = V²/R
R = v²/p = 6²/4 = 36/4 = 9 ohms.
The resistance is 9 Ohm.
To find the resistance, we need to know about the power in term of resistance and voltage.
What is the value of power in terms of resistance and voltage?We know that power=work/timeElectrostatics work is given as voltage ×charge. So, power=(Voltage×charge)/timeAgain, charge/time is given as current. So, power = Voltage×currentFrom Ohm's law, we know that current=voltage/resistance. So, power= voltage ²/resistance. What is the resistance, if power is 4W and voltage is 6V?Resistance in term of power and voltage is given as Resistance= voltage ²/powerSo, resistance=6²/4=36/4= 9 OhmThus, we can conclude that the resistance is 9 Ohm.
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Why is the minimum heat capacity used in max possible heat transfer expression while defining effectiveness of a heat exchanger?
The minimum heat capacity is used in max possible heat transfer expression while defining the effectiveness of a heat exchanger because a fluid with a higher heat capacity rate will have a smaller temperature shift than a fluid with a lower heat capacity rate will.
According to the NTU approach, heat exchanger effectiveness is defined as the difference between the actual and maximum heat transfer rates.
The difference between the temperatures of the two entering streams would represent the highest potential temperature increase.
Now, heat capacity rate x temperature differential gives the rate of heat transfer. You should be aware that in this case, a fluid with a higher heat capacity rate will have a smaller temperature shift than a fluid with a lower heat capacity rate will.
The maximum possible heat transfer rate is then determined by multiplying the maximum temperature rise by the minimum heat capacity rate.
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radiation energy from the sun received at earth's poles is _____ that received at the equator, leading to winds that move heat towards the ______.
Radiation energy from the sun received at the earth's poles is less than that received at the equator, leading to winds that move heat towards the poles.
The Radiation energy from the sun is received to a lesser extent on the poles than it is received on the equator. This causes winds that move heat toward the poles. The equator receives the most direct amount of light as compared to the poles because of the angles between the equator and the sun.
The temperature is warmer near the equator whereas as you move toward the poles, the temperature is comparatively cooler because that area gets lesser sunlight. So, the number of sunlight decreases as we go away from the equator
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I’m confuse like which two types of fields vibrate in light wave
Electromagnetic waves consists of alternate electrical and magnetic fields.
Light is a electromagnetic wave. Hence in light wave, electrical and magnetic fields vibrate.
If you must do positive work to bring a charged balloon toward a negatively charged sphere, is the charge on the balloon positive or negative?.
In order to answer your question, we need to understand the concept of electric potential energy. When a charged object is brought closer to another charged object, the electric potential energy of the system changes. If positive work is required to bring the charged balloon toward the negatively charged sphere, it means that the electric potential energy of the system is increasing.
The electric potential energy of a charged object depends on both the charge and the distance between the objects. If the charged balloon has a negative charge, it would be attracted to the negatively charged sphere, and would not require any positive work to bring it closer. Therefore, we can conclude that the charge on the balloon must be positive.
If you must do positive work to bring a charged balloon toward a negatively charged sphere, the charge on the balloon is positive. This is because positive work indicates that you are working against an attractive force between the objects, which occurs when both objects have opposite charges (positive balloon and negative sphere).
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PLEASE HELP QUICK!!!!!!
The top: Deposition, compaction, and cementation. The right: The heat and pressure.
The bottom Right: Melting.
The bottom left: Cooling.
The top left: Weathering and erosion.
A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank
The work done in pumping all the liquid out of the tank is 2500π lb-ft.
Work done calculationThe potential energy of an object is given by the formula:
PE = mgh
Given:
Density of oil = 50 lb/ft^3
Diameter of the tank = 10 ft ( r = 5 ft)
To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:
Volume of oil in the tank:
The volume of a hemisphere = (2/3) * π * (r^3)
Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3
Mass of the oil:
Mass = Volume * Density = (250π/3) * 50 lb
Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).
Finally, we can calculate the work done:
Work = PE = mgh = (250π/3) * 50 lb * 5 ft
Work = (250π/3) * 50 * 5 lb-ft
= 2500π lb-ft
So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.
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Which action is mostly likely to make the team on the left win
Write two conversion factors for the following unit equalities. The first example hasbeen completed for you.b. 1 mile = 1.61 kilometerc. 4 cups = 1 quart
Take into account that any conversion factor can be written as a fraction in which you have the equivalence in the numerator and denominator.
b. 1 mile = 1.61 kilometer
By using the abbreviated form mi as mile and km as kiometer, you can write:
\(\frac{1mi}{1.61\operatorname{km}},\frac{1.61\operatorname{km}}{1mi}\)c. 4 cups = 1 quart
\(\frac{4\text{cups}}{1qt},\frac{1qt}{4\text{cups}}\)If a child applies a 3 N force for 2 m in the same direction the car is already moving, how much work is
done on the car?
Answer:
6, this could be wrong. (but I believe it is correct)
Explanation:
w=Fs
The work done on the car is the product of force and displacement. The work done by the force of 3N for a displacement of 3 m is 6 J.
What is work done?Work done is the physical quantity that describes effectives of force in changing the motion of an object. When a force applied on an object results in a displacement, the force is said to be work done on the body.
Like force, work done is a vector quantity having both magnitude and direction. Thus work done can have both positive and negative values.
Work done is the dot product of force and displacement.
W = F .ds
Given, force applied on the car = 3 N
displacement ds = 2 m
Then force = 3 N × 2 m = 6 J
Therefore, the work done on the car to make the displacement is 6 J.
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Q2. Fill in the blanks:
North Pole of a magnet will.....
.. North pole of another magnet.
South Pole of a magnet will.
North pole of a another magnet.
Needle of a compass lines up with the......
of a magnet.
You can find the shape of a magnetic field using........
...... and also a plotting.
Answer:
repel , attract,l am sure with these two blanks only
Answer:
Magnetic fields
A magnet creates a magnetic field around it. You cannot see a magnetic field, but you can observe its effects. A force is exerted on a magnetic material brought into a magnetic field. The force is a non-contact force because the magnet and the material do not have to touch each other.
Solve for xxx. Enter the solutions from least to greatest.
Round to two decimal places.
(x + 8)^2 - 7 = 0(x+8)
2
−7=0
The given equation is (x+8)²-7=0 and is said to be round to two decimal places. The solution is said to be entered from least to the greatest that is -10.65 and -5.35.
The equation with its highest degree as 2 is called a quadratic equation. We get two solutions for it when we solve it.The quadratic equation is given here as (x+8)²-7=0.
Let us solve the above equation,
(x+8)²-7=0
(x+8)²=7
x+8= ±√7
x= -8 ±√7
The two values of x are √7-8, -8 -√7.
√7-8= -5.35
-8 -√7= -10.65
Thus, the solutions from least to the greatest are -10.65 and -5.35.
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A steel wrecking ball is moving with 30,000 J of kinetic energy. The ball collides witha spring and comes to a complete stop. If the spring has a k = 50,000 N/m how much is the spring compressed?
Answer:
1.02 m
Explanation:
We are here given that ,
Kinetic energy= 30,000 J spring constant= 50,000N/mWe need to find out the compression in the spring. As we know that,
\(\longrightarrow E = \dfrac{1}{2}kx^2 \\\)
where \(x\) is the compression in the spring. So that,
\(\longrightarrow 30,000 J = \dfrac{1}{2}\times 50,000 \times x^2 \\\)
\(\longrightarrow x^2=\dfrac{60,000}{50,000} \\\)
\(\longrightarrow x^2=\dfrac{6}{5}= 1.2m^2\\\)
\(\longrightarrow x=\sqrt{1.2} m \\\)
\(\longrightarrow \underline{\underline{ x \approx 1.02 \ m }} \\\)
and we are done!
Why are choir concerts better in performance halls than in gymnasiums?
Please Mention the scientific terms.
Reflection, Refraction, Diffraction, Echo, Constructive Interference, Destructive Interference, Doppler Effect and Longitudional Waves.
Constructive interference in performance halls and the elimination of echoes are reasons why choir concerts better in performance halls than in gymnasiums.
What is constructive interference?Constructive interference is a phenomenon which occurs when two waves travelling in same direction and which are in phase add up together to produce a wave of greater amplitude.
Constructive interference occurs in performance halls while destructive interference occurs in gymnasiums.
Also in performance halls, echoes are minimized due to the padded walls and the curtains while echoes which disturb choir concerts occur in gymnasiums.
Therefore, choir concerts better in performance halls than in gymnasiums because of constructive interference in performance halls and the elimination of echoes.
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Answer the following questions.
1. What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?
2. What is the velocity of a plane that traveled 3,000 miles from New York to California in 5.0 hours?
3. John took 45 minutes to bicycle to his grandmother's house, a total of four kilometers. What was his speed in km/hr?.
4. It took 3.5 hours for a train to travel the distance between two cities at a speed of 120 miles/hr. How many miles lie between the two cities?
3.if time=45mins,D=4km,2700secs,4000m then. S=d/t S=1.4m/s
WILL MARK BRAINLIEST!!!
The great racehorse, Secretariat, won a 2,400 m race with an average speed of 16.764 m/s. How long did it take the horse to complete the race? Use the appropriate mathematical expression and show how units cancel.
PLEASE HELP
Answer:
t = 143.16 seconds
Explanation:
Given that,
The average speed of race horse, v = 16.764 m/s
Distance covered, d = 2400 m
We need to find how long did it take the horse to complete the race. We know that, the average speed is equal to total distance covered per unit time. So,
\(v=\dfrac{d}{t}\\\\\text{Where t is time taken}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{2400\ m}{16.764\ m/s}\\\\t=143.16\ s\)
It will take 143.16 seconds to complete the race.
Why can’t you
feel the effect of the reaction
force when an object falls to
Earth?
Answer:
Because the Earth is EXTREMELY massive
Explanation:
A 60w bulb has a higher resistance than a 100w bulb, since the power rating is given assuming that the bulb is connected to a 120v source by itself. If you connect a 60w bulb and a 100w bulb in series to an outlet, which will shine brighter?.
Voltage drop across any components in series is proportional to its resistance. 60W bulb has higher resistance than 100W bulb if both the bulbs were rated for same voltage. So higher voltage drop will be across a 60W bulb.
In parallel voltage drops will be same across both the bulbs but current through it will be inversely proportional to the resistance. So 100W bulb draws more current than 60W bulbs.
60W dissipates more energy than 100W bulbs when in series and 100W bulbs dissipates more energy when in parallel.
Helppppppl!!!!!!!!!!!
Answer:
I think deposition of C is the oldest deposit
A cook wants to raise 400 g (.4 kg) of water from 20 °C to its boiling point of 100 °C. How much heat does the cook need to add to the water? (specific heat of water = 4186 J/g °C)
The cook needs to add 13,376,000 Joules of heat to raise 400 grams of water from 20 °C to its boiling point of 100 °C
To calculate the amount of heat the cook needs to add to the water, we can use the formula:
Q = m * c * ΔT
Where:
Q is the amount of heat (in Joules),
m is the mass of the water (in grams),
c is the specific heat capacity of water (in J/g °C), and
ΔT is the change in temperature (in °C).
Given:
Mass of water, m = 400 g
Specific heat capacity of water, c = 4186 J/g °C
Change in temperature, ΔT = 100 °C - 20 °C = 80 °C
Now, we can substitute these values into the formula:
Q = 400 g * 4186 J/g °C * 80 °C
Calculating the equation:
Q = 13,376,000 J
Therefore, the cook needs to add approximately 13,376,000 Joules of heat to raise 400 grams of water from 20 °C to its boiling point of 100 °C.
The specific heat capacity of water (4186 J/g °C) indicates that water requires a substantial amount of heat to raise its temperature. This is due to water's high specific heat capacity, which means it can absorb and retain a significant amount of heat energy compared to other substances.
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