The Earth currently has an orbital period of 1 year and a semi-major
axis length of 1 AU. If the Earth's orbit changed and the semi-major
axis length increased to 1.1 AU, how would the Earth's orbital period change?

A: It would increase by 0.15 years

B: It would increase by 0.032 years

C: It would decrease by 0.15 years

D: It would decrease by 0.032 years

Answers

Answer 1

The Earth's orbital period change is A: It would increase by 0.15 years

Using Kepler's third law which states that the square of the orbital period of the planet is directly proportional to the cube of its distance from the sun.

So, T² ∝ R³

T'²/T² = R'³/R³ where

T = orbital period at R = 1 yearR = initial axis length = 1 AUT' = orbital period at R'R' = final axis length = 1.1 AU.

So, making T' subject of the formula, we have

T' = [√(R'/R)³]T

T' = [√(1.1 AU/1 AU)³] × 1 year

T' = [√(1.1)³] × 1 year

T' = √1.331 × 1 year

T' = 1.15 × 1 year

T' = 1.15 years.

So, the change in the Earth's orbital period ΔT = T' - T

= 1.15 years - 1 year

= 0.15 years

Since this is positive, the orbital period increases by 0.15 years.

So, the Earth's orbital period change is A: It would increase by 0.15 years

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Related Questions

Which statement about diffraction is correct?
O The amplitudes of two waves combine to appear as one big wave.
O Sound waves bend around the corners of various obstacles.
O The amplitudes of two waves combine to appear as a wave smaller than the individual waves.
O Sound waves can only travel in straight lines.

Answers

Answer:

Sound waves bend around the corners of various obstacles.

Explanation:

I took the test

A 78 N block is supported by a spring whose constant is 12 N/m. Calculate the elongation of the spring under this load.

a. 6.5 m

b. 1.5 m

c. 8.2 m

d. 7.2 m

Answers

Answer:

a 6.5 m

Explanation:

[tex]f = kx = > x = \frac{f}{k} = \frac{78}{12} = 6.5 m[/tex]

A rock is lying on a rock ledge that is 3 m high. The rock as 120 J of potential energy. What is the mass of the rock?

Have a great day!

Answers

[tex]\\ \sf\Rrightarrow PE=mgh[/tex]

[tex]\\ \sf\Rrightarrow m(10)(3)=120[/tex]

[tex]\\ \sf\Rrightarrow 30m=120[/tex]

[tex]\\ \sf\Rrightarrow m=4kg[/tex]

Mass=4kg

HELP!!!!
Which statement describes earthquakes?

They release energy.
They are caused by reduced stress in rocks.
They begin at the epicenter.
They result from movement on Earth’s surface.

Answers

Answer:

A

Explanation:

earthquakes release energy

Answer:

i think it begins at the epicenter

Explanation:

i can remember

pls give brainleist

What are the three different social perspectives on sport

Answers

Answer:

functionalist theory,feminist theory. discipline of sociology

Look at the diagram of two trains. Calculate the relative speed.

Answers

Answer:speed difference

Explanation:

What happens to a liquid in a U-tube manometer when placed in a vacuum

Answers

Answer:

With a greater pressure applied to the left side of a U-tube manometer, the liquid lowers in the left leg and rises in the right leg. The liquid moves until the unit weight of the liquid, as indicated by h, exactly balances the pressure.

Answer:

Here

Explanation:

With a greater pressure applied to the left side of a U-tube manometer, the liquid lowers in the left leg and rises in the right leg. The liquid moves until the unit weight of the liquid

An aircraft flying at a steady velocity of 70 m/s eastwards at a height of 800 m drops a package of supplies.
a) Express the initial velocity of the package as a vector. What
observer on the ground.
b) How long will it take for the package to reach the ground?
c) How fast will it be going as it lands? Express your answer as
a vector.
d) Describe the path of the package as seen by a stationary
assumptions have you made about the frame of reference?
e) Describe the path of the package as seen by someone in the
aeroplane.

Answers

The motion of the package can be described as the motion of a projectile,

given that it has an horizontal velocity and it is acted on by gravity.

a) [tex]\vec{v}[/tex] = 70·ib) The package will reach ground in approximately 12.77 seconds.c) The speed of the package as it lands is approximately 145.51 m/s.d) The path of the package based on a stationary frame of reference is parabolice) The path of the package as seen from the plane is directly vertical downwards

Reasons:

Velocity of the aircraft = 70 m/s

Direction of flight of the aircraft = Eastward

Height from which the aircraft drops the package, h = 800 m

a) The initial velocity of the package, [tex]\vec{v}[/tex] = 70·i

b) The time it will take the package to reach the ground, t, is given by the formula;

[tex]\displaystyle h = \mathbf{\frac{1}{2} \cdot g \cdot t^2}[/tex]

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

Therefore;

[tex]\displaystyle t = \mathbf{\sqrt{ \frac{2 \cdot h}{g} }}[/tex]

Which gives;

[tex]\displaystyle t = \sqrt{ \frac{2 \times 800}{9.81} } \approx \mathbf{12.77}[/tex]

The time it will take the package to reach the ground, t ≈ 12.77 seconds

c) The vertical velocity just before the package reaches the ground, [tex]v_y[/tex], is given as follows;

[tex]v_y^2[/tex] = 2·g·h

Therefore;

[tex]v_y[/tex] = √(2·g·h)

Which gives;

[tex]v_y[/tex] = √(2 × 9.81 × 800) ≈ 125.28

[tex]v_y[/tex] ≈ 125.28 m/s

Which gives; [tex]\vec{v}[/tex] = 70·i - 125.28·j

Therefore, |v| = √(70² + (-125.28)²) ≈ 143.51

The speed of the package as it lands, |v| ≈ 143.51 m/s

d) The motion of the package that includes both horizontal and vertical motion is a projectile motion.

Therefore;

The path of the package is the path of a projectile, which is a parabolic shape.

e) As seen by someone on the aeroplane, the horizontal velocity will be

zero, therefore, the package will appear as accelerating directly vertical

downwards.

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Chapter name :- Physical Optics

Question :-

When two waves of magnitude I and 4I overlap, the maximum and minimum light intensity will be-

a) 9I, 3I
b) 3I,I
c) 9I, I
d) 5I, 3I

Guys I need the correct answer in details!

✖️❌Please No links, No rubbish answer! Otherwise, I'll report your answer! ​

Answers

Answer:

Hey There!

Refer to the attachment...

or in this way also you can solve shown in second attachment

I hope it is helpful to you...Cheers!_________

Use this table of a school bus during morning pickups to calculate its average speed between 0 h and 2.340 h.
Position (km) Time (h)
0.0 0.000
1.2 0.024
2.8 0.051
4.2 0.084
16.3 2.340

Answers

The average speed between 0 h and 2.340 h is 6.97 Km/h

Average speed is defined as the total distance travelled divided by the total time taken to cover the distance.

[tex]Average \: speed = \frac{total \: distance}{total \: time} \\ \\ [/tex]

With the above formula, we can obtain the average speed between 0 h and 2.340 h as illustrated below:

Total time = 2.340 – 0 = 2.340 hTotal distance = 16.3 – 0 = 16.3 KmAverage speed =?

[tex]Average \: speed = \frac{total \: distance}{total \: time} \\ \\Average \: speed = \frac{16.3}{2.340} \\ \\ Average \: speed = 6.97 \: Km/h \\ \\ [/tex]

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Answer:

6.983 km/hr

Explanation:

The average rate of change is (16.34 - 0.0)/(2.34 - 0.000) ≈ 6.983 km/hr

Mejor yo por favor

Liquids and solids are:
a- compressible and expandable.
b- incompressible and non-expandable.
c- incompressible and expandable.

Answers

Answer:

incompressible and expandable

The answer is b incompressible and expandable

Explain Body Mechanics.
PLUS BRAINLY! and 50 Points

Answers

Answer Body mechanics is a term used to describe the ways we move as we go about our daily lives. It includes how we hold our bodies when we sit, stand, lift, carry, bend, and sleep. ... Good body mechanics means using the body's strength to the best mechanical advantage to do a task efficiently and without injury.

Explanation:

Block 1, of mass m1
m
1
= 0.500 kg
k
g
, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2
m
2
, as shown. For an angle of θ
θ
= 30.0 ∘

and a coefficient of kinetic friction between block 2 and the plane of μ
μ
= 0.400, an acceleration of magnitude a
a
= 0.450 m/s2
m
/
s
2
is observed for block 2.
Find the mass of block 2, m2
m
2
.

Answers

Answer:

M2=0.52kg

Explanation:

thats rightt

Help me as soon as possible <3​

Answers

Answer: ??? what the

Explanation:

A horizontal force is applied to a box with a mass equal to 5.5 kg, The graph shows the net force acting on a box as a function of its horizontal position x.

Part A
Find the net work done on the box as it moves from x = 0 m to x = 8.0 m. .
Part B
Apply concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m. Assume the box started from rest.

Answers

From the graph, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

From the question, these are the given parameters;

Mass M = 5.5 KgPosition X = 0 to X = 8m

Part A

The net work done will be the area under the graph.

From position X = 2m to X = 8m gives us the shape of a trapezium.

A = 1/2( a + b )h

A = 1/2( 2 + 6 ) x 8

A = 8 x 4

A = 32 Nm

From X = 0 to X = 2 gives us the shape of a triangle.

A = 1/2bh

A = 1/2 x 2 x (-4)

A = -4 x 1

A = -4 Nm

Net Work done = 32 - 4

Net work done = 28 Nm

Part B

Applying the concepts of work and energy to solve for the speed of the box when it reaches position x = 8.0 m

Net Work done = 1/2m[tex]V^{2}[/tex]

Substitute all the necessary parameters

28 = 1/2 x 5.5 x [tex]V^{2}[/tex]

5.5[tex]V^{2}[/tex] = 56

[tex]V^{2}[/tex] = 56/5.5

[tex]V^{2}[/tex] = 10.18

V = [tex]\sqrt{10.1818}[/tex]

V = 3.19 m/s

Therefore, net work done on the box and  the speed of the box when it reaches position x = 8.0 m are 28 Nm and 3.2 m/s respectively

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Resultant of two froce 3N nad 4N acting ar apoit is 5N show that the two froce are 2 perpendicular to each other​

Answers

Two forces – A = 3N and B = 4NResultant of these forces, R = 5N

[tex]\qquad[/tex] ☀️We are asked to prove that two forces are perpendicular to each other.

Formula to calculate magnitude of resultant 'R' of two forces 'A' and 'B' when they are at an angle 'p' to each other.

[tex]\qquad[/tex][tex]\purple{ \longrightarrow \bf R^2= A^2 + B^2 + 2 AB cos p} [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf 5^2= 3^2 + 4^2+ 2 \times 3\times 4\times cos p[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf 25 = 9 + 16 + 24 cos p [/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf 25 = 25 + 24 cos p[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf 25 - 25 = 24 cos p[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf 0 = 24 cos p[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf cos p = 0[/tex]

[tex]\qquad[/tex][tex] \longrightarrow \sf cos p = cos 90°[/tex]

[tex]\qquad[/tex][tex]\purple{ \longrightarrow \sf p = 90°}[/tex]

Hence, Proved that –

Forces A = 3N and B = 4N are Perpendicular to each other.

[tex]\qquad[/tex]_________________________

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

Jake’s horse will only need to exert enough force to make the carriage accelerate. Even though the carriage will pull on the horse as well, that force is not enough to make the horse accelerate in the direction of the carriage because it is only strong enough to make the carriage accelerate, not the horse.

Explanation:

Additional info: the horse has more mass than the carriage does so it would require a stronger force to make the horse accelerate.

Answer: Jake’s horse will only need to exert enough force to make the carriage accelerate .Since the horse has a greater mass than the carriage, it requires a stronger force to make the horse accelerate.

Explanation: Sorry it took so long lol

What is the velocity of a dropped object after it has fallen for 3.0 s?

Answers

Answer:

30 m/s.

Explanation:

A 5.00 kg crate is on a 21.0 degree hill. Using X-Y axes tilted down the plane, what are the X AND Y components of the NORMAL FORCE?

Answers

Answer:

y-component = 45.75N

x-component = 0N

Explanation:

The Sun has a mass of 1.99 x 10^30kg [^30 is an exponent] and is 1.5 x 10^11m [^11 is an exponent] from the earth. The planet Earth is 5.98 x 10^24kg [^24 is an exponent]. What is the gravitational attraction between the sun and the earth? G=6.67×10^-11 (-11 is an exponent)​

Answers

We are given –

Mass of earth,m = 5.98×10²⁴ kgMass of sun, M= 1.99×10³⁰ kgDistance between Earth and

Sun, r= 1.5×10¹¹ m

G = 6.67×10⁻¹¹ Nm²/kg²

We are asked to find the gravitational attraction between the sun and the earth.

By Universal Law of Gravitation, we know that –

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\sf F = \dfrac{GMm}{r²}}[/tex]

Substituting values, we get –

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}\times 5.98×10^{24}\times 1.99×10^{30}}{(1.5×10^{11})^2}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = \dfrac{6.67×10^{-11}×5.98×10^{24}×1.99×10^{30}}{2.25×10^{22}}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf F = 35.27×10^{21}[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf F = 3.53×10^{22} N}[/tex]

Henceforth ,gravitational attraction between the sun and the earth. is 3.53×10²²N .

______________________________________________

What type of heat does not require matter?

Answers

Radiation is the only method of heat transfer that does not require matter.

Facts about Radiation :

The energy from the sun is received in the form of radiation. It travels in the form of waves. It can be absorbed by substances in its path.Heat Radiation travels through air. Black surfaces are the emitters of heat radiation.Shiny surfaces are the reflectors of heat radiation.Heat transfer by Radiation doesn't require any medium.

An instrument made of brass is an example of which of these?

solid–liquid solution

solid solution

liquid–liquid solution

gas–liquid solution

Answers

Answer:

a solid made of liquid solution

Explanation:

a trumpet for example has intrcuite valves , the only way to do this is by creating a liquid form of the metal to be able to create the solid formed instrument.

Answer:

a solid made of liquid solution

Explanation:

domne

I need it in the next hour or so!

A sports car with a mass of 650 kg is accelerating at +3 m/s2. The force of friction is 200 N, the forward force from the engine is 3100 N. What must the force of air resistance on the car be? - Show your work - Include a unit with your answer​

Answers

The car is accelerating at 3 m/s² in the positive direction (to the right). By Newton's second law, the net force on the car in this direction is

∑ F = F[a] - F[f] - F[air] = ma

3100 N - 200 N - F[air] = (650 kg) (3 m/s²)

Solve for F[air] :

F[air] = 3100 N - 200 N - (650 kg) (3 m/s²)

F[air] = 3100 N - 200 N - 1950 N

F[air] = 950 N

A student holds an egg outside of an open window and let's go. The window is 40 meters above the ground and the egg is falling under the acceleration of gravity, which is 9.8 m/s2. There are two equations that can be used to describe its motion over time:

How far will the egg travel after 2 seconds? Be sure to use the 5 steps to solve the problem. Show which equation you used, what each variable equals, and answer the question in a complete sentence.

Answers

The distance traveled by the egg after 2 seconds is 19.6 m.

The given parameters:

Height of the window, h = 40 m

The distance traveled by the egg after 2 seconds is calculated as follows;

[tex]h = v_0_y t + \frac{1}{2} gt^2\\\\[/tex]

where;

[tex]v_0_y[/tex] is the initial vertical velocity of the egg = 0g is acceleration due to gravity = 9.8 m/s²t is the time of motion, = 2 s

[tex]h = 0 \ + \ \frac{1}{2} \times 9.8 \times (2)^2\\\\h = 19.6 \ m[/tex]

Thus, the distance traveled by the egg after 2 seconds is 19.6 m.

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how to find change in kinetic energy wfrom joules

Answers

Answer:

What do you mean? Can you please explain yourself better?

How to do this question plz ​

Answers

Answer:

Let L be the length of the wire.

N λ = M L      where N is the number of wavelengths λ. Also, M and are integers and L is the length of the wire

There must be nodes at the ends of the wire and anti-nodes at the points of zero displacement - λ/2, λ, 3λ/ 2, etc.

The simplest would be 2 λ = L   or L = λ / 2

In such a situation one would have

N-A-N    or node-antinode-node

There is a 180 degree phase change upon reflection of the wave creating the standing wave

The distance between nodes or anti-nodes must be λ/2 and there must  be nodes at the ends of the wire

A 263 g ball of clay falls onto a vertical spring.

The spring constant k = 2.52 N/cm.

The clay sticks to the spring and as the spring compresses a distance of 11.8 cm the clay momentarily comes to rest.
Determine the speed of the clay just before it hit the spring in [m/s]?

Answers

As the spring is compressed, it performs

-1/2 (252 N/m) (0.118 m)² ≈ -1.75 J

of work on the clay, while gravity does

(0.263 kg) (9.80 m/s²) (0.118 m) ≈ 0.304 J

on it. Then the total work W performed on the clay ball is approximately -1.45 J.

By the work-energy theorem, W is equal to the change in the clay ball's kinetic energy ∆K. If v is the speed with which it hits the spring, then

W = ∆K

-1.45 J = 0 - 1/2 mv²

Solve for v :

-1.45 J = -1/2 (0.263 kg) v²

v² ≈ 11.0 m²/s²

v ≈ 3.32 m/s

the normal formula to find force is F = m*a. What kind of math do you need to do
to find the mass of an object?

- Divide: F / a
- Divide: a / F
- Multiply: F* a
- Subtract: F - a

Answers

[tex]\\ \sf\Rrightarrow F=ma[/tex]

Take a to leftAs it's multiplied on right side it will be divided on right side.

[tex]\\ \sf\Rrightarrow \dfrac{F}{a}=m[/tex]

Or

[tex]\\ \sf\Rrightarrow m=\dfrac{F}{a}[/tex]

Was there any angle given with the question

Answers

Answer:

No.

Explanation:

In the question, no mathematical angle is shown.

☆ Correct and rewrite the following statements:
_____
e). electroplating is based on magnetic effect of electricity.

f). an electric bulb glows due to the chemical effect of electricity.
_______________________

#No spam
#No Internet answers, please #Explanation needed​

Answers

Answer:

e)Question:-Electroplating is based on magnetic effect of electricity.Answer:-It's incorrect sentence As we know that, while electroplating there are two rods, one becoming cathode and another one becoming anode. During electroplating, when electricity is given through the rods, the anode produces positive ions which gets received at the cathode rod and negative ions produced at cathode collects at anode rod which results to the plating of the desired substance. Here, it is a chemical effect of electricity resulting to plating.

So correct sentence is:

Electroplating is based of chemical effect of electricity.

f)Question:-An electric bulb glows due to the chemical effect of electricity.Answer:-It's incorrect sentence As we know that, in an electric bulb there is a filament. When electricity is given in that filament of the electric bulb, the filament gets intensely heated up and results to the emission of light. Due to this heating of the filament due to electricity the electric bulb glows.

So correct sentence is:

An electric bulb glows due to the heating effect of electricity.
Other Questions
Plz Answer ASAP! Thank you!Write a fictional narrative about a character who struggles to communicate with another character. Think about why they might need to communicate and consider events or actions that may lead up to their discovery of effective communication.Exposition: What is the setting? Who are the main characters? How will you develop them? What point of view will you use? What is the main problem, or conflict?Rising Action, Climax, Falling Action: What events will you include in the rising action? What is the climax? How will the character(s) work to resolve the conflict? Resolution: How will the conflict be resolved? How will the characters respond to this resolution? Read the following chemical equations.Reaction 1: 2KI + H2O2 2KOH + 12 Reaction 2: Cl2 + H2 2HCI Which of the following statements is true for both the chemical equations? A. I is oxidized in reaction 1 and Cl2 is oxidized in reaction 2. B. I is reduced in reaction 1 and Cl2 is reduced in reaction 2. C. I is oxidized in reaction 1 and Cl2 is reduced in reaction 2. D. I is reduced in reaction 1 and Cl2 is oxidized in reaction 2. Determine whether or not the given value is a solution. 1. -5x + 4 = -1; x = -1 2.4x3 = -7; x = -1 3. 3y -4 = 5; y = // 4.-2y + 7 = 12; y = -1/2 5.3a-6 = 18 - a; a = -3 6. 5(2t - 1) = 2 = t; t = 2 7. ax = b = 0; x = b/a 8. ax + b = 2b; x = b/a Mr. Pham mowed 2/7 of his lawn. His son mowed 1/4 of it.Who mowed the most? This table show the total distance d, in kilometers, a truck traveled after t hours. Which equation shows the relationship between d and t? d = 100t d = t + 300 d = 300t d = t + 100 What is the dependent variable in this graph _________ communication is confident, self-assured, positive communication.a. Interpersonalb. Assertivec. Managementd. Aggressively Science is often described as a way of knowing things. Beginning with careful observations, describe how the knowing of things usually works. given the following measures of the side of triangles, which is a right triangle? Help please and thank you Justin is making cookies, using a recipe in which the ratioof flour to chocolate chips to sugar is 4: 2: 1 for eachbatch.a. If he is using 8 cups of flour how many cups of sugardoes he need?b. To make 3 batches of cookies, what is the ratio of flourto chocolate chips to sugar? A helicopter starting on the ground is rising directlyinto the air at a rate of 25 ft/sec. You are running on theground starting directly under the helicopter at a rate of 10ft/sec. What is the rate at which the distance between you and the helicopter is changing when the helicopter has risen to a height of 60 ft in the air, assuming that, initially, it was 30 ft above you?I want to understand how any why this is solved. So images/diagrams, detailed step by step breakdowns solutions are VERY much appreciated. Thanks! A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet An object oscillates as it moves along theX-axis. Its displacement varies with timeaccording to the equationx = 4 sin(pi t + pi/6)where t = time in seconds andx = displacement in metersWhat is the displacement between t= 0and t = 1 second? PLEASE ANSWER THE ACRONYM OF THIS. CORRECT ANSWER=BRAINLIEST.WRONG OR NONSENSE ANSWER=REPORT.B-A-S-E-B-A-L-L- Who are the two children that clung to the Ghost of Christmas Present? What do they symbolize? how much time do you get for involuntary manslaughter? Consider this claim, Working with a teammate or partners to achieve fitness goals is better than working individually. Do you agree or disagree with this opinion? Please elaborate and explain Morphemes are the smallest distinctive sound units in a language. Please select the best answer from the choices provided T F. 10 divided by 3 long division