a lunar probe is moving 1670 m/s at a 73.0 angle. it needs to land on the moon 3.71 x 10^8 m away in a 46.0 direction in 8.64 x 10^4 s. what is the magnitude of the acceleration that the engine must produce?

A Lunar Probe Is Moving 1670 M/s At A 73.0 Angle. It Needs To Land On The Moon 3.71 X 10^8 M Away In

Answers

Answer 1

The magnitude of the acceleration that the engine must produce is  0.065 m/s².

What is acceleration?

Acceleration is given by the ratio of Resultant or total force acting on any object and the its mass.

It can also be defined as the rate change of velocity with time.

acceleration a = (Δv) / (Δt)

Given is a lunar probe is moving 1670 m/s at a 73° angle. it needs to land on the moon  3.71 x 10⁸ m away in a 46° direction in 8.64 x 10⁴ s.

The initial velocity will be

1670 x cos (73°-46°) = 1487.981 m/s

Using the second equation of motion, we have

s = ut + 1/2 at²

The final velocity will be zero after landing on Moon.

Substituting the values, we have

3.71 x 10⁸=  1487.981 x  8.64 x 10⁴ + 1/2 a ( 8.64 x 10⁴)²

Solving the equation, we get

acceleration, a = 0.065 m/s²

Thus, the magnitude of the acceleration that the engine must produce is   0.065 m/s²

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Answer 2

Answer:

The direction is 30.6

Explanation:


Related Questions

If we assume a typical efficiency for the body, as quoted in the video, how much energy input would it take to climb a ladder, increasing your body’s potential energy by 5,000 j?.

Answers

The energy input would it take to climb a ladder will be 20000 J.

What is the mechanical advantage?

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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A chain of length L has a mass of m which is uniformly distributed. When it is placed on a smooth horizontal table, 1/4 of its length hangs over the edge of the table (as shown in the figure). Then the chain slides away from the table freely, how much gravitational potential energy has changed from the beginning to the chain just sliding away from the table? (The height of the table from the ground is much greater than L)

Answers

Gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

What is gravitational potential energy?

The energy that an item has due to its location in a gravitational field is known as gravitational potential energy.

Length of hanging part, L/4

The gravitational potential energy is;

Work = Gravitational potential energy

Work done =force×displacement

[tex]\rm W = \frac{Mg}{3} \times \frac{L}{8} \\\\ W = \frac{MgL}{24}[/tex]

Hence, gravitational potential energy has changed from the beginning to the chain just sliding away from the table willl be MgL/24.

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If you double the current through a resistor, by what factor does the power dissipated by the resistor change?.

Answers

If you double the current through a resistor, the power dissipated by the resistor change by factor of 4.

What is electric current?

The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.

Power dissipated through a resistor is related to current as

P  =I²R

When the current is doubled, the new power will be

P' = (2I)²R

P' = 4 I²R

P' = 4P

Thus, the power change by the factor of 4.

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Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects
reach the same height what is the ratio of their velocities Va and Vb

A). 3:1
B). 2:1
C). 1:1
D). 2:1

Answers

If both objects reach the same height, the ratio of their velocities Va and Vb is 3:1. The correct option is A.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects reach the same height.

The maximum height of the objects A and B are same, so

H = Va² sin²30 / 2g =  Vb² sin²60 / 2g

Va²/Vb² = sin²60/ sin²30

Va/Vb = 3:1

Thus, the correct option is A.

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One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other?

Answers

The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.

Formula for electrostatic force is F = ( K q1 q2 )/ r²

where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.

In question we have given

value of q1 = 5.4 x 10⁻⁷ C

value of q2 = 1.1 x 10⁻¹⁷ C

distance between the (r) = 0.25 m

Applying the formula

F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )

F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )

F = 8.5536 × 10⁻¹³ Newton

Electrostatic force = 8.5536 × 10⁻¹³ Newton

So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.

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Voltage is another name for the
difference. what word completes the sentence?

Answers

Voltage is another name for the “potential” difference.
Explanation:Voltage is defined as, “an electromotive force or potential difference expressed in volts.”

Describe how a star is formed?
____________________________

Answers

a more in depth description:
as gasses like hydrogen start to gather, it creates more mass, therefore more gravitational attraction. As the gasses start to collect to considerably large amounts, the gas at the center of the mass starts to compress. As the gas keeps growing, the immense pressure on the core grows and grows, raising the temperature to extreme amounts. As this happens the star starts to undergo a process called nuclear fusion. this process occurs when immense pressure and heat cause the electrons to escape from their nuclei and flow around freely. this is what the fourth state of matter is. this type of matter is called plasma. this alone creates incredible amounts of heat and energy. The main part of the fusion process though is that the nuclei in which the electrons escaped from begin to merge, creating heavier nuclei, therefore creating heavier and denser nuclei. as the nuclei combine they also form denser elements, such as helium (fist merge of nuclei) all the way to eventually iron (last merge before nuclei is at its heaviest. This entire process takes billions of years to go from helium to the extremely dense iron, and stars usually only reach iron if they are big enough (a lot larger than our sun) so that the pressure will be able to keep fusing nuclei. if they dont reach iron, at the end of their life, the fuel from the inside will be used up and the core has to compensate for the gravitational force of the outer star pushing in. this means the star will grow as the outward force becomes greater than the gravitational force. the star will stay like this for a while before finally using up all the fuel and slowly dying off and shrinking. the shrinking star (or dying star) is known as a white dwarf

that is the long answer

Answer:

Star Formation

Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.

hy XD ~

If a star is moving away from you at constant speed, the absorption lines in its spectrum will.

Answers

Answer:

The absorption lines will shift to the red (become longer).

This is because of the extra distance that a wavelength λ must travel between the vibrations of the source producing the spectrum.

Note that the Doppler effect of the source is slightly different for light waves than it is for sound waves because sound waves require a medium in which to travel while light waves do not require such a medium (example air).

what is the total current for the parallel circuit?​

Answers

Answer:

[tex]\huge\boxed{\sf Current = 6\ Ampere}[/tex]

Explanation:

In a parallel circuit, Total resistance is:

[tex]\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]

Where [tex]R_1[/tex] = 6Ω and [tex]R_2[/tex] = 12Ω

Finding [tex]R_T\\[/tex]:

[tex]\displaystyle \frac{1}{R_T} =\frac{1}{6} +\frac{1}{12} \\\\\frac{1}{R_T} =\frac{1 \times 2+1}{12} \\\\\frac{1}{R_T} =\frac{3}{12} \\\\\frac{R_T}{1} = \frac{12}{3} \\\\\boxed{R_T=4 \ Ohm}[/tex]

Finding current:

We know that:

V = IR (Ohm's Law)

V = 24 V, R = 4 Ω (V given, R found)

24 = I(4)

Divide 4 to both sides

6 A = I

Current = 6 Ampere

[tex]\rule[225]{225}{2}[/tex]

One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.

Answers

Answer:

- elastic energy of rubber straps → KE of capsule 

- KE → GPE as capsule

Explanation:

What is the total amount of charge and energy, respectively, that the capacitor will store if it is connected to the battery on the railcar?.

Answers

The total amount of charge and energy will be 1.20 C and 7.20 J respectively

What is a capacitor?

A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.

An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.

Given data;

Voltage,V= 12V

Capicitance,C=100mF = 100 × 10⁻³ F

The total amount of charge is;

Q=CV

Q=100 × 10⁻³ ×  12 V

Q=1.20 C

The energy stored by the capacitor;

[tex]\rm U = \frac{1}{2}CV^2 \\\\ \rm U = \frac{1}{2}\times 100 \times 10^{-3} \times (12 \ V)^2 \\\\ U= 7.20 \ J[/tex]

The energy stored by a capacitor will be 7.20 J.

Hence, the total amount of charge and energy will be 1.20 C and 7.20 J respectively

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6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?

Answers

Answer:

Joy has a greater acceleration.

Explanation:

Mike

v = v₀ + at

10 = 0 + 4a

a = 2.5 m/s²

Joy

v = v₀ + at

15 = 0 + 5a

a = 3 m/s²

--

Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².

If the slowest instruction in the SCA executes in 12.5 ns, then what is maximum system clock frequency in MHz

Answers

Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz

To answer the question, we need to know what frequency is.

What is frequency?

Frequency is the number of oscillations per second of a wave.

It is given by f = 1/T where T = period of wave

Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.

What is the maximum system clock frequency?

So, f = 1/t

= 1/12.5 ns

= 1/(12.5 × 10⁻⁹ s)

= 1/12.5 × 10⁹ Hz

= 0.08 × 10⁹ Hz

= 80 × 10⁻³ × 10⁹ Hz

= 80 × 10⁶ Hz

= 80 MHz

So, the maximum system clock frequency is 80 MHz

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PLEASE HELPP

just do the diagram

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Answer:the line away from the spacecraft should be straight down (perpendicular to it). Label this M. This is the force of the moon on the spacecraft. A minuscule line upward from the moon towards the spacecraft shows the force of the spacecraft on the moon. Should be directly below the spacecraft and pointed straight up at it.

Explanation:


How many groups are in the modern periodic table?

Answers

Answer:

18 groups are in the modern periodic table

Answer:

There's 18 groups I'm pretty sure

What is the density of an 84.7g sample of an unknown substance if the sample occupies 49.6 cm^3?

Answers

Answer:

1.708 g/cm^3

Explanation:

Density = mass/volume

           =  84.7 g / 49.6 cm^3 = 1.708  g/cm^3

A car traveling along the highway needs a certain amount of force exerted on it to stop it in a certain distance. More stopping force is required when the car has:.

Answers

More stopping force is required when the car has to stop in a shorter distance.

What is the relationship between force and acceleration?

Force is directly proportional to acceleration according to Newton's second law of motion.

This means that acceleration increases when force increases.

Stopping of a moving car is negative acceleration.

Therefore, more stopping force is required when the car has to stop in a shorter distance.

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A train travels 8.81 m/s in a -51.0° direction. The train accelerated for 2.23 s, changing its velocity to 9.66 m/s in a 37.0° direction. What is (delta)x? ​

Answers

The value of the [tex]\rm \triangle x[/tex] will be 29.14 m. Delta represent the change.

What is velocity?

The change of distance with respect to time is defined as speed. Speed is a scalar quantity. It is a time-based component. Its unit is m/sec.

The velocity in the part 1;

V₁ = 8.81

The velocity in the part 2;

V₂ = 9.66 m/sec

The resultant of the two vectors of velocity gives the velocity for the connecting path.

[tex]\rm V = \sqrt{8.81 ^2 + 9.66^2 } \\\\ V= 13.07 \ m/sec[/tex]

The  time period for the train accelerates;

[tex]\rm \triangle x = v \times t \\\\ \triangle x = 13.07 \ m/sec \times 2.23 \ sec \\\\ \triangle x = 29.14 \ m[/tex]

Hence the value of the [tex]\rm \triangle x[/tex] will be 29.14 m.

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Answer:

the answer is 14.77 for ∆x

the answer for ∆y is 1.16

Which of the following is a disadvantage of using geothermal energy?

A. It is abundant.
B. It can reduce greenhouse emissions.
C. It is renewable.
D. It can cause air and groundwater pollution.

Answers

i beleive that the D option is correct
i hope it help

The disadvantage of using geothermal energy is  "It can cause air and groundwater pollution." The correct option is D.

What is geothermal energy?

Geothermal energy is a type of renewable energy that comes from the heat within the Earth's core.

The Earth's core is extremely hot, and this heat energy can be harnessed and used to generate electricity. Geothermal energy is often found in areas where the Earth's crust is thin or where there are active volcanoes and geysers.

There are two main types of geothermal energy: direct use and electricity generation.

Direct use involves using geothermal heat directly for heating buildings, greenhouses, or industrial processes such as drying crops or pasteurizing milk. Electricity generation involves using geothermal heat to generate electricity, typically by pumping water into underground reservoirs to create steam that drives turbines connected to generators.

Geothermal energy is considered a renewable energy source because the heat within the Earth's core is continually replenished by radioactive decay. Additionally, geothermal energy is a relatively clean energy source, producing fewer greenhouse gas emissions than fossil fuels.

Here in the question,

Although geothermal energy has many advantages, such as being renewable and reducing greenhouse gas emissions, one of the main disadvantages is that it can cause air and groundwater pollution.

This is because geothermal power plants often release gases and fluids from underground reservoirs that can contain pollutants such as hydrogen sulfide, ammonia, and boron. Additionally, the drilling process used to extract geothermal energy can also release pollutants into the air and water. However, with proper management and regulation, these negative impacts can be minimized.

Therefore, Option D  is correct i.e It can cause air and groundwater pollution is a disadvantage of using geothermal energy.

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which process produces the energy that powers a solar calculater

Answers

Nuclear fusion is the process which produces the energy that powers a solar calculator.

What is Nuclear fusion?

This process involves the fusion of hydrogen atoms to form helium with accompanying release of heat energy.

The heat energy is what powers the solar calculator thereby making it the most appropriate choice.

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A results force of 25newtons acts on a mass of 0.50kilogram starting from rest .find acceleretion in m/s2 , the final velocity after 20seconds, the distance moved in m

Answers

Answer: See below

Explanation:

a) Using Newton's 2nd Law, rearranging and solving for acceleration

[tex]a &= \frac{F}{m}\\ &= \frac{25\ \text{N}}{0.5\ \text{kg}}\\ &= \boxed{50\ \text{m/s}^2}[/tex]

b) Using the acceleration 50 m/s^2 and the initial velocity v = 0 (since the object starts from rest), the final velocity at t = 20, v can be determined using a suitable equation as follows:

[tex]v &= u+ at\\ &= 0+ 50\ \text{m/s}^2(20\ \text{s})\\ &= \boxed{100\ \text{m/s}}[/tex]

c) To determine the distance s traveled in the 20 seconds, we'll use a suitable equation:

[tex]s &= ut+\frac{1}{2}at^2\\ &= 0+\frac{1}{2}(50 \text{m/s}^2)(20\ \text{s})^2\\ &= \boxed{10\ 000\ \text{m}}[/tex]

look at picture below !! please <3

Answers

Answer:

C

Explanation:

compound is a substance made from two or more different elements that have been chemically joined

A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.

Answers

Answer:

V initial = 29.4 m.s²

Explanation:

( Using the laws of motion)

V final = V initial + Acceleration × time

0 = V initial + ( -9.8)(3)

29.4 = V initial

* I took upward as positive that's why I substituted -9.8 *

* for V final we know that at maximum height the ball is not moving thats why is = 0 *

Which statement is TRUE about forces?
A. Forces do not have a specific direction.
B. Forces do not have specific strength.
C. Forces always act in pairs, a push and a pull.

Answers

Answer:

Forces do not have a specific direction.

A cube of metal of side 10cm is fully immersed in a liquid of relative density 0.8.Calculate the upthrust experienced by the body. Take density of water=1000kgm3 and g=10ms-1​

Answers

The upthrust experienced by the cube of metal is determined as 7.84 N.

Upthrust experienced by the body

The upthrust experienced by the body is calculated as follows;

Fu = ρVg

where;

ρ is density of the bodyV is volume of the bodyg is acceleration due to gravity

Density of the body

S.G = density of the body / density of water

density of the body = S.G x density of water

ρ = 0.8 x 1000 kg/m³

ρ = 800 kg/m³

Volume of the body

V = L³

V = (0.1)³

V = 0.001 m³

Upthrust = ρVg

Upthrust = 800 x 0.001 x 9.8

Upthrust = 7.84 N

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If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will

Answers

If you float a piece of wood in a container half-full of water that rests on a weighing scale, the weight reading on the scale will increase.

What is Buoyancy?

Buoyancy is the force through your fluids or total or submerged bodies. Also known as Archimedes' theorem. The fluid of the direction on the body produces a resultant force but with the direction of the weight, with the opposite direction, upwards.

All material submerged in a liquid under the action of buoyancy, for this reason we have that the value on the scale will be increased with a system of a wood floating in water.

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What is the peak value of a sine wave whose VAV value is 15V?​

Answers

The peak value of a sine wave whose VAV value is 15V is 21. 21

What is a peak value?

A peak value is simply known as the highest or maximum value reached in one cycle by an alternating quantity.

The formula for peak value is given as;

peak value = Voltage * √2

Voltage = 15V

Peak value = 15 * √ 2 = 15 * 1. 4142 = 21. 21

Thus, the peak value is 21. 21

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how can you determine the relative ages of the moon's maria and highlands? (select all that apply.)

Answers

The relative ages of the moon's maria and highlands can be determined through the following:

Radioactive datingCrater densityLava flows.

What is a Moon maria?

This is referred to as the early geologic units of the moon which arose from asteroid impact and subsequent volcanic activity.

The ages can be measured using techniques such as radioactive dating and crater density.

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The force exerted on the tires of a car that directly accelerate it along a road is exerted by the

Answers

The force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

What is force?

Force is defined as the product of mass and acceleration of an object.

Friction is defined as the force that resists the movement of an object over another.

Therefore, the force exerted on the tires of a car that directly accelerate it along a road is exerted by the road friction.

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why aren't there lunar and solar eclipses every month?

Answers

The moon's orbital plane is different from that of the earth's orbit around the sun due to which lunar and solar eclipses do not occur every month.

What is a solar eclipse?

When the moon passes in front of Earth and the sun, it creates a solar eclipse and casts a shadow across the globe.

Only during the new moon phase, when the moon travels squarely between the sun and Earth and casts shadows on its surface, can a solar eclipse occur.

Due to the moon's orbit being five degrees off-center from Earth's orbit around the Sun, lunar eclipses do not happen every month and the Moon often passes above or below the shadow.

Lunar eclipses would happen every month if there were no tilt. Eclipses of the sun and the moon happen equally often.

Hence lunar and solar eclipses aren't coming every month.

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The reason why lunar and solar eclipses do not occur every month is because; the plane of orbit of the moon around the earth is not same as that of earth around the sun.

Why don't lunar and solar eclipses occur every month?

When the Moon passes between Earth and the Sun, there's solar eclipse while when the earth passes between the Sun and the Moon, casting a shadow on the Moon, there's lunar eclipse.

Hence, because the plane of orbit of the moon around the earth is not same as that of earth around the sun, we do not have lunar and solar eclipses every month.

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