The Apollo Lunar Module was used to make the transition from the spacecraft to the Moon's surface and back. Consider a similar module for landing on the surface of Mars. Use conservation of mechanical energy to answer these questions. (a) As the lander is descending, if the pilot decides to shut down the engine when the lander is at a height of 1.8 m, (this may not be a safe height to shut down the engine) and the velocity of the lander (relative to the surface of the planet) is 1.2 m/s what will be velocity of the lander at impact

Answers

Answer 1

Answer:

v=6.05 m/s

Explanation:

Given that,

Th initial velocity of the lander, u = 1.2 m/s

The lander is at a height of 1.8 m, d = 1.8 m

We need to find the velocity of the lander at impact. It is a concept based on the conservation of mechanical energy. So,

[tex]\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=W\\\\\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=F\times d\\\\\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2=mgd\\\\\dfrac{1}{2}m(v^2-u^2)=mgd\\\\v^2-u^2=2gd[/tex]

v is the velocity of the lander at the impact

g is the acceleration due to gravity on the surface of Mars, which is 0.4 times that on the surface of the Earth, g = 0.4 × 9.8 = 3.92 m/s²

So,

[tex]v=\sqrt{u^2+2gd} \\\\v=\sqrt{(1.2)^2+2\times 9.8\times 1.8} \\\\v=6.05\ m/s[/tex]

So, the velocity of the lander at the impact is 6.05 m/s.


Related Questions

A car travels at a constant speed around a circular track whose radius is 3.22 km. The car goes once around the track in 248 s. What is the magnitude of the centripetal acceleration of the car

Answers

Answer:

a = 1,838.17m/s²

Explanation:

centripetal acceleration a = v²/r

v is velocity of the car

r is the radius = 3.22km = 3220m

time t = 248

First is to find to velocity using the equation of motion:

v = u+gt

v = 0+(9.81)(248)

v = 2,432.88m/s

a = 2,432.88²/3220

a = 5,918,905.0944/3220

a = 1,838.17m/s²

The magnitude of the centripetal acceleration of the car is 1,838.17m/s²

The largest airplane built that has flown more than once is the Ukrainian-built

Antonov-225 Mriya. With a length of 85 m and a wingspan of 88 m, the Mriya

(Dream) was designed to carry the space shuttle of the Soviet Union’s space

program. Unloaded, the top speed of Mriya is 236 m/s, at which its kinetic

energy is 9.76 × 109 J. What is it’s mass?

Answers

Answer:

m = 350474 [kg]

Explanation:

In order to solve this problem we must remember the definition of kinetic energy, which can be easily calculated by means of the following equation.

[tex]E_{k}=\frac{1}{2} *m*v^{2} \\[/tex]

where:

Ek = kinetic energy = 9.76*10^9[J]

m = mass [kg]

v = velocity = 236 [m/s]

Now replacing and solving the equation.

9.76*10^9 = 0.5*m*(236)^2

m = 9.76*10^9 / (0.5*236^2)

m = 350474 [kg]

Which statements about the kinetic energy of a moving object are true?​

Answers

Answer:

it a most depends on the moving objects mass

Answer:

Its amount depends on the moving object’s mass,

It can be transferred from one object or body to another, and  Its amount depends on the moving object’s speed.

Explanation:

A racing car increases its speed from 10 m/s to 50 m/s over a distance of 60 m.
How long does this take?

Answers

We can solve this by using the equation

S = ut + 1/2 at^2
Where S is distance
And u is initial velocity
And a is acceleration

a = v-u/t

So
S = ut + 1/2 x v-u/t x t^2
60 = 10t + 1/2 x 50 - 1/2 x 10 x t
60 = 10t + 25 - 5 x t
60= 10t + 20t
60 = 30t
60/30 = t
2 equals t

So it takes 2 seconds

A 250 kg motorcycle starts at rest at a stoplight. When the light turns green the motorcycle accelerates to 20 m/s in 4 seconds. Calculate the force applied by the motorcycle if there is also 200 N of friction. Please show work. Any help would be appreciated

Answers

F=MA
F + 200= 250 x 4
F + 200 = 1000
F= 1000-200
F= 800

What is the displacement of the cross-country team if they begin at the school, run 16 kilometers and finish back at the school? Calculate the average speed and average velocity if they finish in 1 hour and 15 minutes?

Answers

Displacement is change in position over time. Their change in position is 0. Their final position is the exact same as their initial (where they started).

Average speed is total distance, not displacement. They ran 16 kilometers and back another 16 kilometers. That’s 32 kilometers. We want to change this into meters tho. That’s the si unit for speed. So multiply that by 1000 to get 32,000 meters. Now divide that by the time. Again, convert that hour and 15 minutes into seconds because the si unit for time is seconds. Do 1*3600 and then add 15*60 to get 4,500 seconds.
32,000m/4,500s = 7.1 m/s

Average velocity is displacement over time. We already went over that the displacement is 0, so therefore average velocity is 0

Three point charges are positioned as follows: a positive charge +q is located on the x-axis at the point (b, 0), a negative charge -2q is located on the x-axis at the point (-2b, 0), and the third, a positive point charge +q/3 is located at the point (-2/3b, -1/3b). What is the symbolic expression for the electric field at the origin due to this system of point charges, in terms of k e, q and b and what is the magnitude of the electric field at the origin? To answer this question, please go through the following steps: To begin, carefully draw the three electric field vectors originating from the origin: the contribution to the net electric field from each of the three source charges. Consider: what information do you need to find the x and y-components of each of these three vectors?

Answers

Answer:

 Ex = k q / b2 [- ¾] ,   Ey = k q / b2 3

Explanation:

For this exercise we calculate the electric field created by each load on a test charge located at the origin

Field created by load q = + q

        E₁ = k q / r²

        r = b-0

        E₁ = k q / b²

in the negative direction of the x axis

Field created by load q = -2q

         E₂ = k (2q) / (2b-0)₂

         E₂ = K q / 2b₂

The field is in the negative direction of the x-axis

Field created by charge q = + q / 3

this charge creates a field that has components on the x and y axes

X axis

        E3x = K (q / 3) / (2b / 3) 2

         E3x = K q 3 / 4b²

as the charge is on the negative side of the x axis. The field goes to the bright side

Axis y

            E3y = k (q / 3) / (b / 3) 2

            E3y = k q / b²

directed up

therefore the electric field is the sum of the field created by each charge

X axis

          Ex = -E1 + E2 + E3x

          Ex = -k q / b2 - k q / 2b2 + k q 3 / 4b2

          Ex = k q / b2 [-1 -1/2 + ¾]

          Ex = k q / b2 [- ¾]

Axis y

          Ey = k q / b2 3

you describe a friend's position by including distance direction and what other term

Answers

Answer:

How would you describe where you are right now? You

might say that you are sitting one meter to the left of your

friend. You might explain that you are at home, which is two

houses north of your school.

Explanation:

Hope this helps!

If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answers

Complete Question

The positive [tex]muon (^+)[/tex], an unstable particle, lives on average [tex]2.20 * 10^{-6}\ s[/tex]  (measured in its own frame of reference) before decaying.

If such a particle is moving, with respect to the laboratory, with a speed of 0.950 c , what average lifetime is measured in the laboratory?

Answer:

The value is  [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]

Explanation:

From the question we are told that

   The the average live time of  [tex]muon (^+)[/tex] is  [tex]\Delta t_o  =  2.20 *10^{-6} \  s[/tex]

    The speed of of [tex]muon (^+)[/tex]  in the laboratory is  [tex]v  =  0.950 c[/tex]

   

Generally the average life time of the positive [tex]muon (^+)[/tex] measured in the laboratory  is mathematically represented as

 [tex]\Delat  t  =  \frac{\Delta t_o }{ \sqrt{1 - \frac{v^2}{c^2} } }[/tex]

 [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{(0.950 c)^2}{c^2} } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - \frac{0.9025 c^2}{c^2} } }[/tex]  

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{1 - 0.9025  } }[/tex]

   [tex]\Delat  t  =  \frac{2.20 *10^{-6}}{ \sqrt{ 0.0975  } }[/tex]

     [tex]\Delat  t  =  7.046 *10^{-6} \  s[/tex]

What is the purpose of a free body diagram?
CO
to show the velocity of an object
to show the acceleration of an object
to show the forces acting on an object
to show the direction of motion vectors of an object

Answers

Answer:

i think the answer is c

Explanation:

zrrxtcyvjvugugyctcyvjv

A free body diagram consists of a diagrammatic representation of a single body or a subsystem of bodies isolated from its surroundings showing all the forces acting on it.

What is free body ?

"A body is said to be "free" when it is singled out from other bodies for the purposes of dynamic or static analysis." The object does not have to be "free" in the sense of being unforced, and it may or may not be in a state of equilibrium; rather, it is not fixed in place and is thus "free" to move in response to forces and torques it may experience.

Know more about free body here

https://brainly.com/question/24087893

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what is the initial position

Answers

Answer:

Initial position of a body is the position of the body before accelerating or increasing its velocity the position changes and then that position is the final position.

hope it is helpful...

Explain the
energy
transformation
processes in an
electromagnet.

Answers

Answer:

when the enrgy flow a electromagnet will exist

Explanation:

i dont reaaly understand by the word energy transformation but thats how elektromagnetic will form

A possible answer is “electrical energy changes to electromagnetic potential energy”

The magnetic material is distributed this way because magnets
A
have magnetic fields that repel magnetic materials and push the shavings away.
B
have multiple magnetic fields that attract the shavings with different strengths.
C
have uneven magnetic fields that attract the shavings in random patterns.
D
have magnetic fields that flow from one pole of the magnet to the other.

Answers

Answer:

A

Explanation:

Since one light is being taken away,

the rest of the light bulbs will get

more energy transfered to both

light bulbs, therefore, they will

not explode, but get brighter.

Hope this helps! <3

Since one light is being removed, more energy will be transmitted to the other light bulbs, preventing an explosion while increasing brightness. Thus, option B is correct.

What cause to magnetic fields?

The majority of the electrons in some compounds, however, spin in the same direction due to their high magnetic properties.

These materials produce the strongest magnets due to their high magnetic permeability.

A magnet's magnetic strength is not the same throughout. In a bar magnet, the magnetic field is stronger around the pole than it is in the center, where the field is weaker.

This is so because the shape has an impact on how the magnetic energy in the area it occupies is distributed.

Therefore, have multiple magnetic fields that attract the shavings with different strengths.

Learn more about magnetic fields here:

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Explain why 15yr old need more calcium than adults

Answers

Answer:

When adolescents get enough calcium during the teen years, they can start out their adult lives with the strong bones and significantly reduce their risk for fractures as an adult. Inadequate calcium intake during adolescence and young adulthood puts individuals at risk for developing osteoporosis later in life.

Answer:

I hoped this helpful for you

Thank you ☺️☺️

Explain whether the size of an object's displacement could be greater than the distance the object travels

Answers

Answer:

Displacement is always less than or equal to distance. Note that distance is a scalar whereas displacement is a vector. So displacement cannot be more than distance.

The size of an object's displacement can never be greater than the distance the object travels by the object because displacement is the shortest distance traveled between the initial and the final position.

What is displacement?

An object's position changes if it moves in relation to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right in relation to a whiteboard.

Displacement can never be greater than the distance covered by any moving body.

Since displacement is the smallest distance between the beginning and final positions, the size of an object's displacement can never be more than the distance the object travels.

Learn more about displacement here, refer to the link;

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what are the 3 sub particles of an atom

Answers

Answer:

Subatomic particles include electrons, the negatively charged, almost massless particles that nevertheless account for most of the size of the atom, and they include the heavier building blocks of the small but very dense nucleus of the atom, the positively charged protons and the electrically neutral neutrons.

Answer:

Neutron, Proton and Electron

Explanation:

By applying the third law of motion, which force is greater when you push on a wall? Your force, the wall’s force, your force and the wall’s force are equal or the force saved before pushing the wall.

Answers

Hello!

By applying the third law of motion, your force and the wall's force are equal.

I hope this helps you! Have a great day!

- Mal

Answer:

they are equal

Explanation:

since it's an equal and opposite force exerted on both bodies, obviously there's no force greater than the other. however, perhaps you could say that since your mass is smaller, the impact of the force exerted on you is greater than that exerted on the wall since F=ma.

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively. Where must a third charge be placed along the x-axis so that it does not experience any net force because of the other two charges? 50 cm 45.8 cm 9.12 cm 91.2 cm 4.58 cm

Answers

Answer:

45.8 cm

Explanation:

To solve this, we will use the formula

5 / x² = 7/(1 - x)²

5 / x² = 7 / (1 - 2x + x²)

5 / 7 = x² / (1 - 2x + x²)

x = 0.5 * (√(35) - 5) meters

x = 0.5 * (5.916 - 5)

x = 0.5 * (0.916)

x = 0.458 or x = 45.8

The position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges is 45.8 cm.

Given :

Two point charges of magnitudes +5.00 μC, and +7.00 μC are placed along the x-axis at x = 0 cm and x = 100 cm, respectively.

The following calculation can be used in order to determine the position where the third charge is placed along the x-axis so that it does not experience any net force because of the other two charges.

[tex]\rm \dfrac{5}{x^2}=\dfrac{7}{(1-x)^2}[/tex]

Simplify the above expression by cross multiplying.

[tex]5(x^2+1-2x)=7x^2[/tex]

[tex]\rm 5x^2 + 5 - 10x = 7x^2[/tex]

[tex]2x^2+2x-1=0[/tex]

Further, simplify the above expression in order to determine the value of x.

x = 0.458

x = 45.8 cm

Therefore, the correct option is b).

For more information, refer to the link given below:

https://brainly.com/question/24391667

What is the role of the brain in helping an animal interact with its environment?

Answers

Answer:

The nature of the environment and the animal's interaction with it determines much of the character of the brain.

Explanation:

In fact, most of what we would use to describe ourselves to others reflects this sort of information storage.   Much of this information is unique to the individual and hence may involve different mechanisms from those used for species-typical information storage.

I the Lord am your God You shall have no other gods besides Me."

Which ancient river civilization would believe in this quote?

Answers

Answer:

Israelites

Explanation:

They only believed in one GOD


A man runs 400.0m around the track,
then another 400.0m around the track again.
As the track is 400.Om long, the man is back
where he started!
a) calculate distance travelled

b) calculate mans displacement

Answers

Answer:

Distance = 800 m, Displacement = 0

Explanation:

It is given that,

A man runs 400 m around the track,  then another 400 m around the track again.

(a) Distance travelled by an object is the sum of total path covered.

In this case, he has covered total path of 400 m + 400 m i.e. 800 m. It means he travelled a distance of 800 m.

(b) Displacement covered by an object is the shortest path covered by it. In this problem, he reaches the point from where he has started. It means that his displacement is equal to 0.

2. When our sun expands and cools, it will turn into a.

Answers

A STARRRRRRRRRRRRRRRRRTRTRRRRR

Answer:

Red giant star

Explanation:

Please help I don’t know how to do this

Answers

i am pretty sure the answer is 2

Answer:

2.2 m/s

Explanation:

formula to be used is:  a = ∆v/∆t

where:

a = 0.09 m/s²

∆t = 10 s

∆v = a*∆t

      = (0.09 m/s²)(10 s)

       = 0.9 m/s

Vivian's final speed:

= initial speed + change in speed

= 1.3 m/s + 0.9 m/s

= 2.2 m/s

Consider a pair of charged particles, particles 1 and 2, separated by a distance r. 6) Which options below are true? [Enter your answer as a string of the letter options you believe are correct. For instance, if you think options A, D, and E are correct, then enter "ADE"] A) Particle 2's electric field contributes to the electric force on particle 1. B) Particle 1's electric field does not contribute to the electric force on particle 1. C) If particle 2 were removed, there would still be a non-zero electric field at its location. D) If particle 2's distance from particle 1 is tripled, particle 1's electric field at 2's new location is no different than before since the field does not depend on the the properties of particle 2. E) None of the above

Answers

Answer:

A, B and C

Explanation:

Option A is correct because, the force on particle 1 depends on the electric field due to particle 2. Since the electric field due to particle 2 is the force per unit charge acting at the point of particle 1, the force at the point of particle 1 is the product of that electric field due to particle 2 and the charge on particle 1. So, Particle 2's electric field contributes to the electric force on particle 1.

Option B is correct because the force on a charge can only be exerted due to an external electric field. So, Particle 1's electric field does not contribute to the electric force on particle 1

Option C is correct since an electric field is always present in the region surrounding a charge irrespective of whether there is a charge in the region of the electric field or not. So, If particle 2 were removed, there would still be a non-zero electric field at its location.


Which choice has the least thermal energy?
A swimming pool full of cool water
b all the water in Earth's oceans
C cup of hot cocoa
d bathtub full of warm water

Answers

Answer:it’s c a cup of hot cocoa

Explanation:

Answer:

c, cup of hot cocoa

Explanation:

it might seem like the hot cocoa is the hottest, but because the substance is so small, it has the least thermal energy

Question 4
10 pts
Que
A ping pong ball is thrown straight up into the air and has an initial velocity of 20.5 m/s.
Determine the peak height to which the ping pong ball rises.
Time Runnir
Attempt due:
30 Minutes
O 21 m
O 1 m
O 43 m
O Om
< Previous
Next
Not saved
Submit Ouiz

Answers

Answer:

I have no clue what this means or what the answer is i am just trying to get my points up so i can ask questions

Explanation:

i am going to put something here so it looks like an explanation so yeah this has no meaning whatsoever i am very sorry that i am not able to give you the answer try looking the answer up im very very very very sorry :(

APEX PLEASE HELP
To increase the electricity supply in the country, a government needs to build
a new power plant. Which of the following is a cost associated with the use
of nuclear power that should be factored into its decision?
A. Nuclear power produces radioactive waste.
B. Nuclear power does not depend on wind.
C. Nuclear power does not contribute to climate change.
D. Nuclear power can be produced both day and night.

Answers

Answer: A. Nuclear power produces radioactive waste.

the first outside orbit of Earth planet is
a Jupiter
b Mars
c Saturn
d uranus​

Answers

Answer:

I believe it would be B, Mars.

Hope this helps!

B, Mars is the correct answer.

Thank you ☺️☺️

In order for clouds to form, what must happen first?

Answers

Answer:

Step 1: Change Water Vapor into Liquid Water

But in order to grow a cloud, we need to get the water vapor from a gas to its liquid form. Clouds begin to form when a parcel of air rises from the surface up into the atmosphere

Explanation:

The gravitational constant G was first measured accurately by Henry Cavendish in 1798. He used an exquisitely sensitive balance to measure the force between two lead spheres whose centers were 0.27 m apart. One of the spheres had a mass of 188 kg, while the mass of the other sphere was 0.93 kg.
What was the ratio of the gravitational force between these spheres to the weight of the lighter sphere?

Answers

The gravitational force between the spheres is

[tex]F_{\rm g}=\dfrac{G(188\,\mathrm{kg})(0.93\,\mathrm{kg})}{(0.27\,\mathrm m)^2}\approx1.6\times10^{-7}\,\mathrm N[/tex]

where G = 6.674 x 10⁻¹¹ N m²/kg².

The weight of the lighter sphere is

[tex]F_{\rm w}=(0.93\,\mathrm{kg})g\approx9.1\,\mathrm N[/tex]

where g = 9.80 m/s².

The ratio between the two forces is then

[tex]\dfrac{F_{\rm g}}{F_{\rm w}}\approx1.8\times10^{-8}[/tex]

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