Answer:
1144.8
Explanation:
1 meter per second is equal to 3.6 kilometers per hour
Congratulations!! You have just been selected as prospective commander of the Mars Orbital Mission (MOM). Your task is to place your spacecraft in circular orbit about Mars with an orbital period of 8 hours and 40 minutes. The mass of Mars is 6.45 x 1023 kg, and the radius of Mars is 3394 km. What will be the radius of your circular orbit?
The radius of the circular orbit should be approximately 11,582 km.
To place the spacecraft in a circular orbit about Mars with an orbital period of 8 hours and 40 minutes, the radius of the circular orbit should be approximately 11,582 km.
The radius of the circular orbit can be calculated using the formula for the orbital period of a satellite:
T = 2π√(r^3/GM)
where T is the orbital period, r is the radius of the orbit, G is the gravitational constant, and M is the mass of the central body (in this case, Mars).
Solving for r, we get:
r = (GMT^2/4π^2)^(1/3)
Substituting the given values, we get:
r = [(6.6743 × 10^-11 m^3/(kg s^2)) × (6.45 × 10^23 kg) × ((8 hours + 40 minutes) × 60 × 60 s/hour)^2 / (4π^2)]^(1/3)
Converting the time to seconds and performing the calculations, we get:
r = 11,582 km
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the moon's mass is ____?
Answer:
7.35..kg
Explanation:
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an object is placed 10 cm from a convex (converging) lens of focal length 20 cm. what is the lateral magnification of the objec
The lateral magnification of the object is 2.
The focal length of a lens is the distance from the lens' center to the point where the light rays converge (or appear to converge).
The power of a lens is determined by its focal length. The refractive index, or the bending of light, is determined by the curvature of the lens surface.
In the given scenario, the object's distance from the convex lens (converging lens) is 10 cm and the focal length is 20 cm.
We can use the formula for lateral magnification, which is:
M = v/u
Where v is the image distance and u is the object distance.
Since the image is formed on the other side of the lens, v will be negative.
u = -10 cm, as the object is located 10 cm from the lens on the opposite side of the image.
Magnification formula:
M = v/u= (-20)/(-10)=2
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what is the wavelength of an electron moving at 2.5 × 107 m/s if the mass of the electron is 9.11 × 10-31 kg?
The wavelength of the electron moving at 2.5 × 10^7 m/s is 2.90 × 10^-11 m.
The wavelength of an electron can be determined using the de Broglie equation: λ = h/p, where λ is the wavelength, h is Planck's constant (6.626 × 10^-34 J·s), and p is the momentum of the electron. The momentum of an object can be calculated by multiplying its mass by its velocity: p = mv, where m is the mass and v is the velocity.
So, to find the wavelength of the electron moving at 2.5 × 10^7 m/s, we need to first calculate its momentum. Using the formula p = mv, we get:
p = (9.11 × 10^-31 kg)(2.5 × 10^7 m/s) = 2.28 × 10^-23 kg·m/s
Now, we can use the de Broglie equation to find the wavelength:
λ = h/p = (6.626 × 10^-34 J·s)/(2.28 × 10^-23 kg·m/s) = 2.90 × 10^-11 m
So the wavelength of the electron moving at 2.5 × 10^7 m/s is 2.90 × 10^-11 m.
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Nick added five yards to the maximum distance that he can throw a football which component has he most likely added to his training regimen
Answer:
the answer is c
Explanation:
Answer: c. Weight lifting twice a week
Explanation:
the soft ballplayer does 9876 joules of work when hitting a ball into center field. Assuming the ball landed 100 meters away from home plate, how much force did the player use to hit the ball?
Answer:
F = 987600 N
Explanation:
Force Equation
F=ma
Newton's second law states that force is proportional to what is required for an object of constant mass to change its velocity. This is equal to that object's mass multiplied by its acceleration. We use Newtons, kilograms, and meters per second squared as our default units, although any appropriate units for mass (grams, ounces, etc.) or velocity (miles per hour per second, millimeters per second2, etc.) could certainly be used as well - the calculation is the same regardless.
Solve
F = m * a
F = 100 kg * 9876 m/s2
F = 987600 N
Newtons are derived units, equal to 1 kg-m/s². In other words, a single Newton is equal to the force needed to accelerate one kilogram one meter per second squared.
When a pole vaulter reaches the top of her vault, how does her potential energy compare to her kinetic energy?.
Kinetic energy is twice the potential energy.
What type of energy is used in pole vaulting?A pole vaulter has kinetic energy when running forward. When a pole vaulter lowers the pole and jumps, it slows down and bends the pole. Their kinetic energy is transformed into polar elastic potential energy. When the pole is raised, the pole vaulter is lifted higher. After the start, the athlete and pole rotate around his starting box, converting some of the athlete's kinetic energy into gravitational potential energy. Also, during the jump, the momentum of the athlete causes the pole to flex, temporarily storing elastic stretch energy in the pole.
Mechanical energy depends on the position and motion of an object, and its force is the sum of kinetic energy (kinetic energy) and stored (potential) energy. That is, mechanical energy is produced when the potential energy of an object combines with its kinetic energy.
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when visible or white light separates into different colors is called ?
Answer:
Dispersion
Explanation:
Really hope this helps
Calculate the kinetic energy of an alpha particle emitted by U-238. Neglect the recoil velocity of the daughter nucleus.
The kinetic energy of an alpha particle emitted by U-238 is 5.31315 MeV.
U²³⁸ ⇒ Th²³⁴ + He
Mass of Uranium = 238.0508 u
Mass of Thorium = 234.04359 u
Mass of alpha particle = 4.001 506 u
Δm = (Atomic mass of Thorium + Atomic mass of alpha particle - Atomic mass of Uranium)
Δm = (234.04359+4.001 506- 238.0508 )
Δm = - 0.005704
the negative sign signifies the energy is liberated.
The Kinetic energy is given by,
K.E = Δmc²
K.E = 0.005704×931.478 MeV
K.E = 5.31315 MeV
Hence, the kinetic energy of an alpha particle emitted by U-238 is 5.31315 MeV.
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If you have 100 kg of each of these substances, which would require the most energy to increase its temperature by 25 Kelvin?
A. Iron
B. Carbon
C. Rubber
D. Air
Answer:
iron
Explanation:
In addition to a reference point you also need distance and __________ to describe location
displacement
btw in not sure
A 2 kg cue ball is moving at a velocity of 2 m/s when it collides with another 3 kg billiard ball at rest.
What is the total momentum of the system?
A 2 kg cue ball is moving at a velocity of 2 m/s when it collides with another 3 kg billiard ball at rest. The total momentum is 4 kg m/ s.
Elaborating the problem:
Before the collision, the momentum of the 2 kg cue ball is:
p₁ = m₁ × v₁
p₁ = 4 kg m/s
The 3 kg billiard ball is at rest, so its momentum is: p₂ = 0 kg m/s
The total momentum of the system before the collision is:
p_total = p₁ + p₂
p_total = 4 kg m/s
The total momentum of the system after the collision is:
p_total = M × \(V_{f}\)
p_total = p₁ + p₂
M × \(V_{f}\) = p₁ + p₂
5 kg × \(V_{f}\) = 4 kg m/s + 0 kg m/s
5 kg * \(V_{f}\) = 4 kg m/s
Therefore, \(V_{f}\) = 0.8 m/s
So, the total momentum of the system is:
p_total = M × \(V_{f}\)
p_total = 5 kg × 0.8 m/s
p_total = 4 kg m/s
What is any system's total momentum?
A system's total momentum is the sum of the momentum of all its components. To put it another way, it is the total amount of motion experienced by the system's objects. The total momentum of an isolated system remains constant when there are no external forces acting on it, as stated by the law of conservation of momentum.
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Work out the current through a television with a power of 0.8 kW if it uses the 230 V mains supply. Give your answer to 1 decimal place.
Answer:
the current is 3.5 A
Explanation:
The computation of the current is shown below:
As we know that
Current [A] = Electrical power [W] ÷ Potential difference [V]
Now convert KW TO W = × 1000
So, the current is
= 800W ÷ 230V
= 3.5 A
Hence, the current is 3.5 A
A brass rod is encased in aluminum. What happens to the speed of a sound
wave when it passes through the rod and moves from the brass into the
aluminum?
Aluminum
Copper
Lead
Brass
(70% Cu,
30% Zn)
6,420
4,700
5,010
1,960
Speed of
sound
(m/s)
A. Its speed decreases.
OB. Its speed increases.
ООО
O C. Its speed falls to zero.
OD. Its speed stays the same.
PREVIOUS
Answer:
B. its speed increases
Explanation:
A brass rod is encased in aluminium. The speed of a sound wave in this decreases when it moves from the aluminium into the brass medium. Thus, the correct option is A.
What factors affect speed of sound?Sound travels in different mediums in the form of waves. The speed of sound is the speed with which the sound wave travels in a medium. The speed of the wave depends on the density and the elasticity of the medium through which the sound waves travel. In general, the sound wave travels faster in the liquid mediums in comparison to the gas medium and these are quicker in solid mediums than in liquid mediums. Thus, the greater the elasticity and the lower the density of the waves, the faster the sound waves travel in that medium.
The speed of sound in aluminium is 5100m/s and in the brass medium, it is 6,923. So, if the sound wave is moving from aluminum metal to the brass medium, we can clearly observe that there is decrease in the speed of sound. So, we can say here that is the speed is decreases.
Therefore, the correct option is A.
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The valid combinations are:
a) 5, 12, and 4b) 7, 7, and 7Total resistance for a circuit in series is R_T = R1 + R2 + R3 + ...
How to determine combinations and total resistance?Question 1
To determine the valid combinations of resistors for a circuit with a total resistance of 21, find combinations where the sum of the individual resistances equals 21. Analyze each option:
5, 12, and 4:
Total resistance = 5 + 12 + 4 = 21 (Valid combination)
7, 7, and 7:
Total resistance = 7 + 7 + 7 = 21 (Valid combination)
3, 3, and 3:
Total resistance = 3 + 3 + 3 = 9 (Invalid combination)
5, 5, and 5:
Total resistance = 5 + 5 + 5 = 15 (Invalid combination)
Therefore, the valid combinations are:
5, 12, and 4
7, 7, and 7
Question 2:
Regarding the second question, the equation that calculates the total resistance for a circuit in series is:
R_T = R1 + R2 + R3 + ...
So, the correct option is:
R_T = R1 + R2 + R3 + ...
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Parents who make few demands on their children and use little punishment are what?
Answer:
Permissive - allowing or characterized by great or excessive freedom of behavior.
Explanation:
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How does instantaneous velocity differ from average velocity?.
HELP HELP HELP !!!
During the fission reaction shown, how did the target nucleus change ?
A) the target nucleus split into two nuclei, each with fewer nucleons than the original
B) the target nucleus became two nuclei, with more total mass than the original nucleus
C) The target nucleus broken to pieces made of three kinds nucleons
D) The target nucleus broke into five different nuclei
Answer:
A. The target nucleus split into two nuclei, each with fewer nucleons than the original.
Explanation:
A-P-E-X
Answer:
The target nucleus split into two nuclei, each with fewer nucleons than the original.
Explanation:
Ap3x
Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan
SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-
They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.
Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.
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a flat slab of material (nm = 2.2) is d = 0.35 m thick. a beam of light in air (na = 1) is incident on the material with an angle θa = 35 degrees with respect to the surface's normal.
A flat slab of material with a refractive index (nm) of 2.2 and a thickness (d) of 0.35 m is exposed to a beam of light in air, which has a refractive index (na) of 1. The angle of incidence (θa) is 35 degrees with respect to the surface's normal.
Using Snell's Law, we can determine the angle of refraction (θm) within the material. Snell's Law states:
na * sin(θa) = nm * sin(θm)
1 * sin(35°) = 2.2 * sin(θm)
Solving for θm, we get θm ≈ 15.3°. This angle represents the beam of light's path within the material, deviating from the normal due to the difference in refractive indices. The slab's thickness and refractive index will affect the speed and path of the light beam as it passes through and eventually exits the material.
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what is the energy required to accelerate a 1315 kg car from rest to 21 m/s
The energy required to accelerate a 1315 kg car from rest to 21 m/s is 284,202.5 joules.
The formula for kinetic energy is \(1/2mv^2\), where m is the mass of the object and v is its velocity. To find the energy required to accelerate the car from rest to 21 m/s, we need to find the change in kinetic energy.
At rest, the car has no kinetic energy, so the initial kinetic energy is zero. When it reaches 21 m/s, its kinetic energy is:
\(1/2 * 1315 kg * (21 m/s)^2 = 284,202.5 joules\)
Therefore, the energy required to accelerate the car from rest to 21 m/s is 284,202.5 joules.
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(a) Find the components of the vector with the initial point P1 = (4, 1 -2) and the
terminal point P2 = (6, 1, -6).
(b) Find a unit vector with the same direction as the vector u = (7, 4, -3).
(c) Find the distance between the two points u = (9, -3, 4) and v = (-3, 2, 5).
(d) Find the norm of the vector u = (4, -3, 6).
(e) Find the angle between two vectors u = (4, -3, 6) and v = (3, 0, 1).
The components of the vector are (2, 0, -4), \(Unit\:\: vector\:\: with \:\:the\:\: same\:\: direction\:\: as\:\: u = (7/\sqrt(74), 4/\sqrt(74), -3\/sqrt(74))\), \(Distance = \sqrt{((-3 - 9)^2 + (2 - (-3))^2 + (5 - 4)^2)} = \sqrt(221)\), \(Norm(u) = \sqrt{(4^2 + (-3)^2 + 6^2)} = \sqrt(61)\) and \(Angle\:\: between\:\: u\:\: and\:\: v = (18 / (\sqrt(61) * \sqrt(10)))\).
(a) To find the components of the vector with initial point P1 = (4, 1, -2) and terminal point P2 = (6, 1, -6), we subtract the coordinates of P1 from the coordinates of P2:
\(P2 - P1 = (6 - 4, 1 - 1, -6 - (-2)) = (2, 0, -4)\)
So, the components of the vector are (2, 0, -4).
(b) To find a unit vector with the same direction as the vector u = (7, 4, -3), we divide each component of u by the magnitude of u:
Magnitude of \(u = \sqrt(7^2 + 4^2 + (-3)^2) = \sqrt(74)\)
\(Unit\:\: vector\:\: with \:\:the\:\: same\:\: direction\:\: as\:\: u = (7/\sqrt(74), 4/\sqrt(74), -3\/sqrt(74))\)(c) To find the distance between the two points u = (9, -3, 4) and v = (-3, 2, 5), we use the distance formula:
\(Distance =\sqrt{((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)\),
\(Distance = \sqrt{((-3 - 9)^2 + (2 - (-3))^2 + (5 - 4)^2)} = \sqrt(221)\),
(d) To find the norm (magnitude) of the vector u = (4, -3, 6), we use the formula:
\(Norm(u) = \sqrt{(x^2 + y^2 + z^2)\),
\(Norm(u) = \sqrt{(4^2 + (-3)^2 + 6^2)} = \sqrt(61)\),
(e) To find the angle between two vectors u = (4, -3, 6) and v = (3, 0, 1), we use the dot product formula:
\(Dot Product = u . v = (4 * 3) + (-3 * 0) + (6 * 1) = 12 + 0 + 6 = 18\)
\(Magnitude\:\: of \:\:u = \sqrt(61)\)
\(Magnitude\: of ;v =\sqrt(10)\)
\(Angle\:\: between\:\: u\:\: and\:\: v = (18 / (\sqrt(61) * \sqrt(10)))\).
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Did Earth's inner core stop spinning? Is it true that new study finds Earth may soon spin in reverse?
Answer:
Earth's inner core may have stopped turning and could go into reverse, study suggests. The rotation of Earth's inner core may have paused and it could even go into reverse, new research suggests. The Earth is formed of the crust, the mantle and the inner and outer cores.
Explanation:
12 A car travels in a straight line at speed v along a horizontal road. The car moves
against a resistive force F given by the equation
F = 400+kv²
where F is in newtons, v in ms-1 and k is a constant.
At speed v = 15ms-1, the resistive force F is 1100 N.
a
Calculate, for this car:
i the power necessary to maintain the speed of 15ms-¹,
ii the total resistive force at a speed of 30 ms-¹,
iii the power required to maintain the speed of 30ms-¹.
Answer:
i) Power = Force * Velocity = 1100 * 15 = 16500 W = 16.5 kW(ii) Find the value of k first: F = 400 + k(15^2) k = 28/9 F = 400 +(28/9)(30^2) = 320
Explanation:
Which factor has the greatest effect on the strength of an electromagnet?
A. The position of the ammeter in the circuit
B. The number of coils of wire around the core
C. The type of insulation that covers the wire
D. The distance between the battery and the electromagnet
B. The number of coils of wire around the core
Answer:
B.
Explanation:
The number of coils of wire around the core
How much heat in joules is required to heat a 47 g sample of aluminum from 80 ∘F to 149 ∘F? (The specific heat capacity of aluminum is 0.903 J/(g⋅∘C).)
Given,
Mass of the sample, m=47 g= 0.047 kg
The initial temperature, T₁=80 °F=299.8 K
The final temperature of the sample, T₂=149 °F=338.2 K
Therefore the total raise in the temperature,
\(\Delta T=T_2-T_1=338.2-299.8=38.4\text{ K}\)The specific heat capacity of the aluminum, c=0.903 J/(g · °C)= 903 J/(kg · K)
The heat required to raise the temperature of a sample by a temperature of ΔT is given by,
\(Q=mc\Delta T\)On substituting the known values in the above equation,
\(Q=0.047\times903\times38.4=1629.7\text{ J}\)Therefore the heat required to raise the temperature of the sample from 80 °F to 149 °F is 1629.7 J
Answer:
Use the table below to answer questions 5-6.
Answer:
its also difficult for me.
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The diagram shows currents that form as water is heated. A full pot sits on a stove. 2 pairs of curved arrows are inside the pot, Each has a blue arrow curving downward from the top of pot and a red arrow curving up from the bottom of the pot. Which would most likely contain this same type of current? the air above a wildfire a carton of milk in a refrigerator a snowdrift on a shady mountainside a boulder in a hot desert
Answer:
air above a wild fire
Explanation:
the type of current formed in the pot is referred to as a convectional current which forms when the heated fluid rises making the cool fluid descend the same happens with the air above a wildfire a convectional current will form when the warm air rises and the cool air descends.the main reason for tge descending and ascending is that the air or liquid closest to the source of heat will get heated making it lighter but the air or liquid tgat was further from the source of heat will not be as light so as the warm fluid rises, the cool fluid descends.
Answer:
air above a wildfire
Explanation
A gray kangaroo can bound across a flat stretch of ground with each jump carrying it 8.0 m from the takeoff point.
If the kangaroo leaves the ground at a 22˚ angle, what is its takeoff speed?
What is its horizontal speed?
The kangaroo's horizontal speed will be 9.7 m/s and its departure speed will indeed be 10.65 m/s.
What is the sound's velocity?By observing the pace at which this compressed region moves through the medium, we may determine the sound speed. The sound wave travels at a speed of around 343 meters per second in low humidity at 20 degrees Celsius.
Briefing:The following equation relates the distance to the direction and initial velocity:
d = [v₀²sin2θ]/g, where θ – the angle of the jump.
Thus, v₀² = gd / (sin2θ) = (9.8×8)/0.69 = 113.62
v₀ = 10.65 m/s ( the take off speed).
The horizontal velocity equals:
vₓ = v₀cos 22° = 10.65 m/s × 0.92 = 9.7 m/s
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An ambulance traveled on roads from the hospital 14 kilometers east, then 16 kilometers north to reach an accident. If the ambulance traveled for 0.40 hours, what was its average speed?