Answer:
The radius of the new planet is ~2.04 * 10⁶ m, or 2,041,752 m.
Explanation:
We can use Newton's Law of Universal Gravitation:
[tex]\displaystyle F_g=G\frac{Mm}{r^2}[/tex]Let's look at Newton's 2nd Law:
[tex]F=ma[/tex]We can set these equations equal to each other:
[tex]\displaystyle G\frac{Mm}{r^2} =ma[/tex]The mass of the second mass (astronaut) cancels out. We are left with:
[tex]\displaystyle G\frac{M}{r^2} =a[/tex]We are solving for the radius of the new planet, so we can rearrange the equation:
[tex]\displaystyle r=\sqrt{\frac{GM}{a} }[/tex]Substitute in our known values given in the problem (G = 6.67 * 10⁻¹¹ ; M = 7.5 * 10²³ ; a = 12).
[tex]\displaystyle r =\sqrt{\frac{(6.67\times 10^{-11})(7.5 \times 10^{23}}{12} }[/tex][tex]r=2.04 \times 10^6[/tex]The radius of the new planet is ~2.04 * 10⁶ m.
Which statement describes one of the main principles of Dalton's atomic theory? Elements of the same atom are identical. O Atoms of the same element are different. O Elements of the same atom are different. Atoms of the same element are identical.
Dalton's atomic theory is related to the characteristics of atom. The statement describes one of the main principles of Dalton's atomic theory is atoms of same element are identical.
What is Dalton's atomic theory?The Dalton's theory states that All matter is composed of extremely small particles called atoms and Atoms of a given element are identical in size, mass, and other properties. Atoms of different element are different.
Hence, the statement describes one of the main principles of Dalton's atomic theory is atoms of same element are identical.
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Which year was pluto no longer considered a planet?.
Electromagnetic radiation includes only visible light waves.
true or false
The entire electromagnetic spectrum, from the lowest to the highest frequency (longest to shortest wavelength), includes all radio waves (e.g., commercial radio and television, microwaves, radar), infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays.
False, There is other things aswell
Which object represents a negatively charged particle? which object represents a positively charged molecule? which object represents an uncharged molecule? which object will not move when in an electric field?
The answers to your questions are as written below:
The objects that represents a negatively charged particle is : Image B The object that represents a positively charged molecule is : Image A The object that represents an uncharged molecule is : Image C The object the will not move when in an electric fied is : Image C Different types of charges moleculesA negatively charged molecule move inwards when placed in an electric field while positively charged molecule placed in a electric field will move outwards the electric field.
A neutral/uncharged molecule will remains still when placd in an elctric field due to the absence of charges.
Hence we can concude that the answers to your questions are as listed above.
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attached below is the missing image
A gravitational field is generated by any object that has–
Answer:
Mass.
Explanation:
A car has a kinetic energy of 4.32 x 10J when traveling at a speed of 23 m/s. What is its mass?
Answer
0.163 kg
Explanation:
[tex]\sf Kinetic \ Energy = \dfrac{1}{2} \ x \ mass \ x \ velocity^2[/tex]
Here we are provided with:
1) Kinetic Energy = 4.32 x 10 Joules ≈ 43.2 Joules
2) Speed/Velocity = 23 m/s
Now, solve for mass:
[tex]\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ velocity^2 = Kinetic \ Energy[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} \ x \ mass \ x \ (23)^2 =43.2[/tex]
[tex]\rightarrow \sf mass= \dfrac{43.2 (2)}{23^2}[/tex]
[tex]\rightarrow \sf mass= 0.163 \ kg[/tex]
A uniform metal bar 100cm long balances at 20cm mark when a mass of 1.5kg is attached at 0cm mark calculate the weight of the bar (take g=10n/kg)
Answer:
1.6 ml
Explanation:
A figure skater goes into a spin with her arms outstretched. She then pulls her arms in against her body. If she is initially rotating at 2rev / s , what is her final rotational speed? Assume that by pulling in her arms she reduces her rotational inertia from 2kg - m ^ 2 to 1.5kg - m ^ 2
For a figure skater goes into a spin with her arms outstretched. She then pulls her arms against her body. If she is initially rotating at 2rev / s is mathematically given as
Wf= 6rev / s
what is her final rotational speed?
Generally, the equation for the conservation angular momentum is mathematically given as
I1Wf=I2Wf
2kg - m ^ 2 X 2rev / s = 1.5kg - m ^ 2 X W2
Wf= 2/1.5(2)
Wf= 6rev / s
In conclusion, her final rotational speed is
Wf= 6rev / s
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The Renaissance astronomer who wrote the pioneering book that suggested the Earth probably orbits the Sun (instead of the other way around) was: Group of answer choices Eratosthenes Copernicus Newton Ptolemy
The Renaissance astronomer who wrote the pioneering book that suggested the Earth probably orbits the Sun was Copernicus.
Who is an astronaut?An astronaut observes and performs the experiments based on the universe.
The astronomer observes the universe and its components closely using telescope being on the Earth. While the astronaut goes into space to look in closely.
The astronomer who gave the observation that Earth is orbiting around the Sun was Nicolaus Copernicus.
Thus, the correct option is Copernicus.
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What is the momentum of a 8kg ball rolling at 25 m/s?
Answer:
200
Explanation:
P = M x V
P = 8 x 25
P = 200
Vhich type of reaction is modeled by this chemical equation?
PLi + CaCl2 - 2LICI + Ca
Answer:
Double-replacement
Explanation:
2Li + CaCl2 → 2LiCl + Ca O
D. Double-replacement
A uniform magnetic field b is perpendicular to the plane of a circular loop
A uniform magnetic field is perpendicular to the plane of a circular loop. The rate must the magnitude of change to induce a 10 A current in the loop.
What is uniform magnetic field?The magnetic field which doesn't change with respect to time is called the uniform magnetic field.
The resistance of the loop is related to the length of the wire as
R=ρ L/ A
Diameter of wire is 10 cm formed from wire of diameter 2.5 mm and resistivity is 1.69×10⁻⁸ Ω⋅m.
Substituting the values into the above equation, we get
R = {(1.69×10−8Ω⋅m) × π(0.10m)} / {π(2.5×10−3m)2/4}
R =1.1×10−3Ω
Current is related to emf as
i=∣ε∣/R
=∣dΦB/dt∣ / R
=(πl2/R) ∣ dB/dt ∣.
Substituting the given values from the question, we have rate of change of magnetic field
∣dB / dt∣ = πr2iR
∣dB / dt∣ = π(0.05m)2(10A)(1.1×10−3Ω)
∣dB / dt∣ =1.4T/s
Therefore, the rate must the magnitude of change to induce a 10 A current in the loop is 1.4T/s.
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A force of 26. 4lb is applied to an area of 1. 71in 2 what is the pressure
Answer:
Dont kno
Explanation:
Dont
Do the data support or refute the hypothesis? be sure to explain your answer and include how the variables changed in the experiment.
Do the data support or refute the hypothesis, normally, the data for the first part of the experiment support the first hypothesis.
What is a hypothesis test?Hypothesis testing refers to the formal procedures used by statisticians to accept or reject these hypotheses. When trying to make decisions, it is convenient to formulate assumptions or conjectures about the populations of interest, which consist of considerations about their parameters.
As a result of this, we can see that from the complete text, there is a set of data which is used to show the force that is applied to a cart that causes the acceleration of the cart to increase which supports Newton's second law.
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Answer:
The data support the hypothesis. As the number of half-lives increased, the number of radioactive atoms decreased. With each half-life, approximately half of the radioactive atoms in a sample decayed to a stable isotope.
Explanation:
edge 2022
Four resistors (67 ohm, 83 ohm, 433 ohm, and 309 ohm in that order) are connected in series to a 7.92 V battery of negligible internal resistance. What is the voltage difference across the second resistor
Answer:
.737 v
Explanation:
Since they are in series....they all have the same current running through them.....find the total resistance to calculate the current:
R = 67 + 83 + 433 + 309 = 892 ohm
V/R = current = 7.92 / 892 = 8.87 mAmps
Now the voltage across ecah resistor is I R
for the second one 8.87 ma * 83 ohm = V = .737 V
What types of galaxies are these?
Answer:
the first one looks like a spiral galixy
the 2nd one looks like a lenticular galixy ?? (im pretty sure but not 100%)
the 3rd one looks like a elliptical galixy
Explanation:
Answer:
1. Spiral
2. Not sure but i think its irregular.
3. Elliptical
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Which requires more force to accelerate?
an object that weighs 20 kg
an object that weighs 5 kg
Answer:
An object that weighs 20 kg
Explanation:
Acceleration and mass are indirectly proportional.
If a brick has a density of 3.75g/mL and a mass of 20.25g, what is its volume
Answer:
5.4mL
Explanation:
20.25g divided by 3.75g/mL= 5.4mL
(ii) The ball has a time of flight of 3.5s before landing The green is a vertical
distance of 7.5 m above the point at which the ball was hit, as shown. The green
is about seventy metres away from where the ball is hít.
flight of ball
green
ball hit at this point
17.5m
7 Om
Deduce whether, if air resistance is ignored, the ball could land on the green
after a flight time of 3,5s.
If air resistance is ignored, the ball could land on the green after a flight time of 3.5s.
Vertical velocity of the ball
The vertical velocity of the ball is calculated as follows;
[tex]h = v_yt - \frac{1}{2} gt^2\\\\7.5 = (3.5)v_y - \frac{1}{2}(9.8)(3.5)^2\\\\ 7.5 = 3.5v_y - 60.025\\\\3.5v_y = 67.525\\\\v_y = 19.29 \ m/s[/tex]
Horizontal velocity of the ballX = Vxt
Vx = (X)/t
Vx = (70)/3.5
Vx = 20 m/s
Resultant initial velocityv = √(Vy² + Vx²)
v = √(19.29² + 20²)
v = 27.79 m/s
Angle of projectiontanθ = (Vy)/(Vx)
tanθ = (19.29)/(20)
tanθ = 0.9645
θ = 43.96⁰
check if time of flight will be equal to 3.5 s or moreThe time of flight is calculated as follows;
[tex]T = \frac{2u \times sin(\theta)}{g} \\\\T = \frac{2 \times 27.79 \times sin(43.96)}{9.8} \\\\T = 3.9 \ s[/tex]
Check if the range of ball will 70 m or moreX = VxT
X = 20 x 3.9
X = 78 m
The ball will land on green which is at 70 m after 3.5s.
Thus, if air resistance is ignored, the ball could land on the green after a flight time of 3.5s.
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What is the benefit of cooling down after exercise?
Answer:
3 benefits of a restrict afterwards a practice Brings essence rate back off and slows respiring Muscles return back to optimum motionless distance Prevents ancestry from combining in lower limits Cool down stretches are used to weaken courage rate and respiring rates afterwards exercise. It can help cause your soul rate back off to situated rate.
Explanation:
An object attached to one end of a spring makes 20 vibrations in 10 seconds. Its angular frequency is: 0. 79 rad/s 1. 57 rad/s 2. 0 rad/s 6. 3 rad/s 12. 6 rad/s
Angular frequency in radian per second for 20 vibrations in 10 seconds is 12.6 rad/s
What is Angular frequency?Angular frequency is the number of vibrations in radian per second.
The total number of vibrations n is 20 and the time taken for these vibrations is 10 s
The frequency of the vibrations will be
f = 20 / 10 = 2 Hz
Angular frequency is related to the frequency as
ω = 2πf
ω=2π × 2
ω = 12.6 rad/s
Thus, the angular frequency is 12.6 rad/s.
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The following equation, N2 + 3 H2 —>2 NH3 ,describes a
(1) physical change
(3) mixture
(2) chemical change
(4) element
Wave travelling along right with speed of 0. 5 m/s time 4 second point p
The wavelength of the wave which is travelling along right with speed of 0. 5 m/s time 4 second point is 2.
What is the speed of wave?Speed of wave is the rate by which the wave travels. It can be described as the distance cover by the crest or thrust of it per unit of time. It can be calculated with the following formula,
[tex]v=f\times\lambda[/tex]
Here, (f) is the frequency and (λ) is the wavelength.
The frequency is inverse of time. Thus, the value of frequency in time t is,
[tex]f=\dfrac{1}{t}\\f=\dfrac{1}{4}\\f=0.25[/tex]
The speed of the wave is 0.5 m/s. Put the values in the formula,
[tex]v=f\times\lambda\\0.5=0.25\times\lambda\\\lambda=\dfrac{0.5}{0.25}\\\lambda=2[/tex]
Thus, the wavelength of the wave which is travelling along right with speed of 0. 5 m/s time 4 second point is 2.
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How much heat energy is required to raise the temperature of 1 kilogram of steel by 10°C?
from
∆H=MC∆T
but M=1Kg=1000g
∆T=10°C
C=0.466J/g°C
∆H=(1000×0.466×10)Joule
=4660J
explanation
When heat energy is added to a substance, the temperature will change by a certain amount. The relationship between heat energy and temperature is different for every material, and the specific heat is a value that describes how they relate.
heat energy = (mass of substance)(specific heat)(change in temperature)
Q = mc∆T
Q = heat energy (Joules, J)
m = mass of a substance (kg)
c = specific heat (units J/kg∙K)
∆ is a symbol meaning "the change in"
∆T = change in temperature (Kelvins, K
Nancy ran a distance of 5km in 30 minutes. What is her speed in meters(m) per hour)h)
The speed of Nancy who ran a distance of 5 km in 30 minutes is 10000 meters(m) per hour(h).
What is the rate of speed?
The rate of speed is the rate at which the total distance is travelled in the time taken. Rate of speed can be given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance travelled by the object and (t) is the time taken but the object to cover that distance.
Nancy ran a distance of 5 km in 30 minutes. There are 60 minutes in one hour. Thus, the time in hour for which Nancy ran is,
[tex]t=\dfrac{30}{60}\\t=0.5\rm\; hr[/tex]
The meters in 5 kilometers is,
[tex]d=5\times1000\\d=5000\rm\; m[/tex]
She ran 5000 kilometers in 0.5 hours. Thus, the speed of her is,
[tex]s=\dfrac{5000}{0.5}\\s=10000\rm\; km/hr[/tex]
Thus, the speed of Nancy who ran a distance of 5 km in 30 minutes is 10000 meters(m) per hour(h).
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1150 kg car is on a 8.70 degree hill. What’s the x component of the normal force
Answer:
The x - component of the normal force is equal to 1706.45 N.
Explanation:
To solve the problem, and since there is no additional information, we can safely assume that the x-axis is parallalel to the hill surface and the y-axis is perpendicular to the x-axis. Knowing that, we can calculate the components of the normal force (or weight for this case), using the following formulas:
[tex]N
x
=W∗Sin(α)=mg∗Sin(α)[/tex]
[tex]N
y
=W∗Cos(α)=mg∗Cos(α)[/tex]
Now, using the given information, we have:
[tex]mass=m=1150Kg[/tex]
[tex]a=8.70[/tex]
[tex]g=9.81 \frac{m}{ {s}^{2} } [/tex]
Calculating, we have:
[tex]N_{x}=mg*Sin(\alpha)[/tex]
[tex] \: \: \: \: \: \: \: \: \: N_{x}=1150Kg*9.81\frac{m}{s^{2}}*Sin(8.70\°)[/tex]
[tex]N
x =11281.5
s
2
Kg.m
∗Sin(8.70\°) = \\ \\ 1706.45
s
2
Kg.m
=1706.45.23N[/tex]
Hence, we have that the x-component of the normal force is equal to 1706.45 N.
Answer:
zero
Explanation:
fx=
Food must often stay warm prior to being served but also not be damaged by the heating process. Which of these components of the electromagnetic spectrum would be high enough in associated energy to warm food without having ionizing impacts on the components of the food itself? Select ALL that apply.
The electromagnetic spectrum which is high enough to warm food without having ionizing impacts include:
MicrowavesInfraredWhat is Ionization?This involves an atom or a molecule gaining or losing electrons to form charged ion.
The electromagnetic spectrum wit long wavelengths will have enough energy to warm it without ionizing impacts and they are mentioned above.
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You are still able to hear sounds coming from a room when the door is open only a tiny crack due to…?
Answer:
Sound waves are able to go throught some objects.
Explanation:
Why is the moon’s force of gravity less than that of the earth?
Why is the moon’s force of gravity less than that of the earth?
Answer:-Since the moon has a smaller mass than the earth, the moon has less gravity than the earth. Gravity is related to mass.
Larger mass = larger gravity
Smaller mass = lesser gravity
Moon has small mass, therefore less gravity.
What was the most impactful thing you took away from yesterdays event?
GIVE ME AN EXAMPLE OF BEING NERVOUS
Answer:
BEFORE A ROLLER COASTER
Explanation:
