The moon has a gravitational acceleration of 1.6 m/s2. A 1,100-kilogram space rover travels on its surface at 3.2 meters per second. What is the approximate magnitude of the normal force acting on the vehicle?

Answer:

-time it takes for the sled to come to a stop after launch of rocket = 7.244 s

-distance sled has travelled from its starting point by the time it finally comes to rest is = 234.8655 m

Explanation:

From the question, looking at the motion while accelerating, we have;

Initial velocity; u = 0 m/s

Acceleration; a = 13.5 m/s²

Time; t = 3.3 s

Let's use first equation of motion to find final velocity (v).

v = u + at

v = 0 + (13.5 × 3.3)

v = 44.55 m/s

In this forward direction, let's calculate the displacement(d1) using newton's 3rd equation of motion.

d1 = ut + ½at²

d1 = 0(3.3) + ½(13.5 × 3.3²)

d1 = 73.5075 m

Now, let's consider the motion while slowing down and our final velocity will be 0 m/s while initial velocity will now be 44.55 m/s while acceleration is 6.15 m/s².

Thus, from v = u + at, we can find the time it take for the sled to come to a stop.

Now, since it's coming to rest acceleration will be negative. Thus;

0 = 44.55 + (-6.15t)

0 = 44.55 - 6.15t

t = 44.55/6.15

t = 7.244 s

Now we want to find out how far the sled has travelled from its starting point by the time it finally comes to rest.

Thus, we'll use the equation;

v² = u² + 2as

Where s will be the second displacement which we will call d2.

Thus;

0² = 44.55² + (-2 × 6.15 × s)

0 = 1984.7025 - 12.3s

12.3s = 1984.7025

s = 1984.7025/12.3

s = 161.358

Thus, d2 = s = 161.358 m

Thus, distance sled has travelled from its starting point by the time it finally comes to rest is ;

= d1 + d2 = 73.5075 + 161.358 = 234.8655 m

Answer:

a) ΔS = 14.46 J/k

b) ΔS = 70.76 J/k

Explanation:

The general formula to calculate the entropy change accompanied with a process is:

ΔS = ΔQ/T

where,

ΔS = entropy change for the process

ΔQ = Heat Transfer during the process

T = Absolute Temperature during the process

a)

In this case the heat transfer will be given as:

ΔQ = (ΔHfus)(N)

where,

ΔHfus = Molar Heat of Fusion of Tin = 7.029 KJ/mol

N = No. of moles of tin = 1 mol

Therefore,

ΔQ = (7.029 KJ/mol)(1 mol)

ΔQ = 7.029 KJ = 7029 J

and the absolute temperature is:

T = 213°C +273 = 486 k

using these values in the entropy formula, we get:

ΔS = 7029 J/486 k

ΔS = 14.46 J/k

b)

In this case the heat transfer will be given as:

ΔQ = (ΔHvap)(N)

where,

ΔHvap = Molar Heat of Vaporization of Carbon Dioxide = 15.326 KJ/mol

N = No. of moles of Carbon Dioxide = 1 mol

Therefore,

ΔQ = (15.326 KJ/mol)(1 mol)

ΔQ = 15.326 KJ = 15326 J

and the absolute temperature is:

T = 216.6 k

using these values in the entropy formula, we get:

ΔS = 15326 J/216.6 k

ΔS = 70.76 J/k

Answer:

Volume = 1,015 acre-feet (Approx)

Explanation:

Given:

Rain = 1.7 in

Time = 30 min

Area = 29 km²

Find:

Volume in acre-feet

Computation:

1 km = 1,000 m

1 m = 3.28 feet

1 km² = 247.105 acre

d = 1.7 in = 1.7 / 12 = 0.14167 ft

Area = 29 × 247.105 = 7,166.045 acre

Volume = 7,166.045 acre × 0.14167 ft

Volume = 1,015 acre-feet (Approx)

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The Correct expression will be :

According to the electromagnetic spectrum and relation between energy and wavelength which is inverse longer the wavelength,lower is the  energy.

The electromagnetic spectrum consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.

Learn more about electromagnetic spectrum,here:

https://brainly.com/question/15576247

#SPJ2

One similarity is the use of physical body whereas one difference is that one is exercise and the other is a sport.

One similarity between a set and a bump in volleyball is the movement and use of legs and hands.

Whereas one difference between a set and a bump in volleyball is that completing several reps of a particular exercise in a row is called a set while on the other hand,  the basic pass in volleyball is known as bump.

Learn more about set here: https://brainly.com/question/1090891

The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

To learn more about Ohm's Law click:

brainly.com/question/1247379

#SPJ1

Answer:It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: reason it is a system of which supports the body weight and holds your organs in without such a system theyd fly around damaging them due to such the answer is exactly as said it supports the body weight the movement of your legs and holds you up and it creates blood cells from your bome maro

Answer: The answer is: It is a system that supports the body, helps with movement, protects internal organs, and serves as a site for

blood cell formation.

Explanation: I have my ways ;>

Answer:

correct yes

Explanation:no

Answer:

19

Explanation:

I legit did this and it took 19.

Table sugar is a compound, it consists of carbon, hydrogen, and oxygen.

Hence, C is the correct answer.

The chemical state of matter consists :

Hence, table sugar is a compound because it is formed by more than 2 chemical elements, and they are chemically bonded together.

For more information about state of matter :

https://brainly.com/question/9402776

#SPJ2

The projectile left the ground at an angle of 67.4 degrees above the horizontal, if there was no air resistance.

First, let's find the time of flight. We can use the kinematic equation:

y = yo + voy*t + 0.5*a*t^2

where y is the maximum height (0.57 km), yo is the initial height (0 m), voy is the initial vertical velocity (unknown), a is the acceleration due to gravity (-9.81 m/s^2), and t is the time to reach the maximum height (unknown).

Plugging in the values and solving for t, we get:

0.57 km = 0 + voy*t + 0.5*(-9.81 m/s^2)*t^2

t = 12.19 seconds

Since the total time of flight is twice the time to reach the maximum height, we have:

total time of flight = 2*t = 24.38 seconds

Now we can use the range equation to find the initial velocity vector of the projectile:

x = vox*t

1500 m = vox*24.38 seconds

vox = 61.51 m/s

where x is the range and vox is the initial horizontal velocity.

Finally, we can use trigonometry to find the initial angle of projection, theta:

voy/vox = tan(theta)

voy = vox*tan(theta)

61.51 m/s*tan(theta) = (150 m/s)

theta = 67.4 degrees

To know more about projectile equations -

https://brainly.com/question/13388411

#SPJ1

Explanation:

a boy walks at 2m/s for 30sec and run at 5m/s for 20sec. what is his average speed

displacement = 55 cm.Initial position = 25 cm,Final position = 80 cm,Displacement = final position-finitial position,Putting values in above formula,D = 80 cm - 25 cm,D = 55 cm,It means that the displacement of the ant is 55 cm.

Distance is the length of any path connecting any two places.As measured along the shortest path between any two points, displacement is indeed the direct distance between them.The direction is ignored when calculating distance.

Displacement is just the distance between an object's starting point and its final location, whereas distance is indeed the length of an object's path.

To know more about displacement visit:

https://brainly.com/question/30087445

#SPJ1

When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.

When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.

This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.

For more such questions on unscramble words, click on:

https://brainly.com/question/28555227

#SPJ8

The equation is of conservation of energy

\(h_1=h_2+ \frac{1}{2g}v^2\)

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. Following work, energy is transmitted to the item, which causes it to move at a new, constant speed. An object can store energy as the result of its position is potential energy.

Conservation of energy equation  

\(mgh_1=mgh_2+1/2mv^2\)

\(h_1=h_2+ \frac{1}{2g}v^2\)

To learn more about energy refer to the link:

brainly.com/question/1932868

 #SPJ1

Answer:

See explanation below.

Explanation:

The internal energy (kinetic energy) of the milk particles increases thus warming the milk up, while the internal energy of the coffee particles reduce their initial average speed as they are imparting energy to the slow milk particles.

The half-life of hypothetical element  technetium-99 is 210,936 years.

Half-life of the hypothetical element From the graph provided in the question, the half-life of the hypothetical element can be obtained by finding the time taken for the element to reduce to half its original quantity. Here, it can be seen from the graph that the quantity of the element reduces from 40 to 20 on day 4. Therefore, the half-life of the hypothetical element is 4 days.2. Time taken for a sample to decay from 100 grams to 25 gramsIf the half-life of a given substance is 65 days, then the quantity of the substance reduces to half every 65 days. From 100 grams to 50 grams, it takes one half-life cycle. From 50 grams to 25 grams, it will take another half-life cycle.

Therefore, it will take two half-life cycles, which is 2 × 65 = 130 days, for a 100-gram sample of the substance to decay until there is only 25 grams of the radioactive material remaining.3. Half-life of a sample that decays from 200 grams to 50 grams in 60 minutesIt is given that the sample of radioactive isotopes takes 60 minutes to decay from 200 grams to 50 grams. To find the half-life, we need to determine how many times the sample has lost half of its mass, which tells you how many half-life cycles have occurred.At 30 minutes, the sample reduces to half its original quantity, which is 100 grams. At 45 minutes, it reduces to 50 grams, which is half of 100 grams. Therefore, it takes two half-life cycles to reduce from 200 grams to 50 grams in 60 minutes. Hence, the half-life of the isotope is 15 minutes.4. Half-life of technetium-99 that decays from 500.0 g to 62.5 g in 639,000 yearsIt is given that a 500.0 g sample of technetium-99 decays to 62.5 g of technetium-99 remaining in 639,000 years. We can use the half-life formula to find the half-life of technetium-99.t1/2 = (t × log2) / log(N0 / Nt) Where,t1/2 = half-life of the substanceN0 = initial quantity of the substance Nt = quantity of the substance left after time t (in years)t = time (in years)From the given data,t1/2 = (639000 × log2) / log(500.0 / 62.5)t1/2 = 210,936 years.

for such more questions on element  

https://brainly.com/question/30933074

#SPJ8

Answer:

HBr- polar covalent

Cl2 - nonpolar covalent

H2O - polar covalent

Explanation:

Covalent bonds are chemical bonds that holds atoms of elements in such a way that electrons are shared between the atoms. However, based on the electronegativity differences between elements, compounds can either be polar covalent or nonpolar covalent.

Polar covalent bonds are formed when electrons are unevenly shared between two atoms based on difference in their electronegativities i.e. the more electronegative atom pulls more of the electrons. For example, in the case of HBr and H2O, Bromine and Oxygen atoms are more electronegative, hence, they pull more electrons making the electron sharing unequal, hence, a POLAR COVALENT BOND forms.

Non polar covalent bonds, contrarily, occurs when electrons are shared equally or evenly. This is so because the atoms of the elements involved have the same electronegativity. For example, Cl2 contains two atoms of Chlorine (Cl), which has the same electronegativity, hence, electrons between the two atoms are shared equally to form a NONPOLAR COVALENT BOND

HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.

When atoms with differing electronegativities share electrons in a covalent link, the result is a polar covalent bond.

Consider the molecule of hydrogen chloride (HCl). In order to generate an inert gas electron configuration, each atom in HCl requires one extra electron.

Covalent bonds are chemical bonds that keep atoms of different elements together while sharing electrons.

Compounds can be polar covalent or nonpolar covalent depending on the electronegativity variations between components.

When electrons are unevenly divided between two atoms due to differences in their electronegativities, polar covalent connections are created.

The more electronegative atom draws more electrons. In the case of HBr and H2O, for example, the Bromine and Oxygen atoms are more electronegative,

Therefore they draw more electrons, causing the electron sharing to be uneven, resulting in the formation of a polar covalent bond.

Hence HBr is polar covalent, Cl₂ - nonpolar covalent and H₂O is polar covalent in nature.

To learn more about the polar covalent bond refer to the link;

https://brainly.com/question/10777799

hypnosis, a growing body of scientific research supports its benefits in treating a wide range of conditions, including pain, depression, anxiety and phobias. "Hypnosis works and the empirical support is unequivocal in that regard.

Yes, if a body is floating in a liquid, the rise in the liquid level is equal to the body height. This phenomenon is known as Archimedes' principle.

Archimedes' principle says when a body is immersed in a fluid (liquid or gas), it experiences an upward buoyant force equal to the weight of the fluid displaced by the body. Buoyant forces act in the opposite direction to gravity.

When a body floats in a liquid, it displaces a volume of liquid equal to its volume. As a result, the liquid level rises by an amount equal to the height of the submerged part of the body.

This principle holds for objects that float or are partially immersed in a liquid, such as a buoyant boat or a floating object. However, if the body sinks completely into the liquid, the liquid level rise will no longer be equal to its height. Instead, it depends on the density and volume of the submerged object.

Answer:

I believe it is True

Explanation:

When trying to induce an electric current within a wire: D.) The magnets poles need to be aligned with the wire.

A fluctuating magnetic field forms around a wire when a magnet is moved close to it. The wire experiences an electric current as a result of the shifting magnetic field.

The strength of the magnetic field, how quickly it changes, and how the wire is oriented in relation to the magnetic field all affect how much induced current is produced.

The magnet's poles must be in line with the wire in order to produce the greatest current in the wire.

Therefore the correct option is D.

Learn more about magnets poles  here: brainly.com/question/14997726

#SPJ1

The amount of energy required to increase the temperature of 20 g of water from 283°C to 303°C is approximately 6.1 kJ.

To learn more about The amount of energy refer to:

https://brainly.com/question/25603269

#SPJ1

Answer:

electron in the outermost

Explanation:

These are the electrons available for bonding or transfer

  protons do are not involved in actual bonding

Answer:

b

Explanation:

Atoms form chemical bonds using electrons in the outermost energy level, otherwise known as valence electrons.

For atoms to bond, they must either gain or lose electrons.

By gaining electrons, the atom attains a negative charge.

By losing electrons, the atom attains a positive charge.

In physics, the term "thermal expansion" refers to the expansion that takes place when heat is applied to a body. Each molecule in a body has an increased kinetic energy when it is heated. Molecular collisions between molecules happen more frequently as a result of the increase in kinetic energy. Now, when collisions happen, objects with greater kinetic energy than before will create a larger space around them. Practically, this results in growth.

Now, relating it to equation part:

Depending on the force of attraction acting between molecules, each substance has a specific arrangement and packaging. Therefore, the object with less attraction will occupy more space around it while using less kinetic energy than the object with more attraction. Therefore, for various metals, the coefficient of thermal expansion has been established experimentally.

for example: coefficient of thermal expansion of copper is 16.6∗10−6m/mK.

16.6∗10−6m/mK.  That means if you apply 1 kelvin of heat on a copper rod of length 1 m, it will expand 16.6∗10−6  m more.

Expansion ∞ Length Lo (i) Note: ∞ is for proportionality sign.

Suppose an iron rod of 10 m and other of 1 m, obviously the larger one will expand more. (other functions remain same)

Expansion ∞ Change in Temperature - Δ (ii)

The more the temperature the higher kinetic energy the molecules posses. Therefore more expansion.

Therefore, on combining Expansion = α L0 ΔT Here α is the thermal expansion of the material.

Now adding L0 on both sides and taking L0 common on the right side (to get the new length of the rod)

L= L0(1+αΔT)

This is for linear expansion, similarly you can relate for superficial and cubical expansion.

The molecules slow down when solids cool. The solids shrink as a result of the molecules being able to move closer together. When heated, solids expand. Additionally, they undergo a process known as thermal contraction when they are cooled.

Thank you,

Eddie

There are around 3.8179x10⁻⁹ seconds between the crests of each wave.

The number of cycles per second is the unit of frequency in Hertz. To find the time interval for a known frequency, just divide 1 by the frequency (for example, a frequency of 100 Hz has a time interval of 1/(100 Hz) = 0.01 seconds; a frequency of 500 Hz has a time interval of 1/(500Hz) = 0.002 seconds, etc.). The wavelength is the separation between a specific location and that same location in the next wave cycle.

T = 1/f

By changing the value of f, we obtain:

T = 1 / 262x10⁻⁹ Hz

T = 3.8179x10⁻⁹ seconds

To know more about wave visit:-

https://brainly.com/question/2278836

#SPJ1

Answer:

Radio signals and telescopes

Explanation:

I believe that they would uses those because with a telescope you can see things if they are millions of miles away from earth or where ever. And with radio signals you could try and see if there is any sign of life beyond on the knowledge we know of the universe.

Answer:

a = 1 m/s^2

Explanation:

if we assume that right is the positive x direction and y is the negative x-direction then we get:

Fr = 8N

Fl = -3N

We then find the net force acting upon the object

Ft = Fr + Fl

Ft = 8N - 3N

Ft = 5N

After we find net force acting upon the object we can then use Newton's 2nd Law to find its acceleration.

Ft = m*a

Isolate accerleration

a = Ft / m

a = 5N / 5kg

a = 1 m/s^2

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

Never, ever desert you

We've known each other for so long

Your heart's been aching but

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

No, I'm never gonna give you up

No, I'm never gonna let you down

No, I'll never run around and hurt you

I'll never, ever desert you

Explanation:

RICK ROLLED