Answer:
103.52 km/h
Explanation:
We are given;
Distance between two cities; d = 4300 km
airspeed; v_as = 930 km/h
Difference in flight time; Δt = 61 min = 1.0167 h
Now, the equation of motion to find the distance is given as;
d = vt
Where v = v_as + v_js
v_as is the airspeed
v_js is the jet speed
Thus;
d = (v_as + v_js)t
Thus, time(t1) for outgoing flight is;
t1 = d/(v_as + v_js)
Meanwhile, time(t2) for the return flight, the jet stream velocity will be negative and time is;
t2 = d/(v_as - v_js)
Recall that Difference in flight time; Δt = 61 min.
Thus;
Δt = t2 - T1 = [d/(v_as - v_js)] - [d/(v_as + v_js)]
Factorizing out, we have;
Δt = d[1/(v_as - v_js)] - [1/(v_as + v_js)]
Furthermore, it gives;
Δt = d[(v_as + v_js - v_as + v_js)]/((v_as - v_js) × (v_as + v_js))
Δt = d(2v_js)/((v_as)² - (v_js)²)
Cross multiply to get;
(2dv_js)/Δt = ((v_as)² - (v_js)²)
(v_js)² + ((2dv_js)/Δt) - (v_as)² = 0
Plugging in values for d,v_as and Δt gives;
(v_js)² - ((2 × 4300 × v_js)/1.0167) - (930)² = 0
(v_js)² - (8458.7329v_js) - 864900 = 0
Using quadratic formula, we have;
v_js = 103.52 km/h
The airline computer advises an airspeed of 930 km/h, for which the difference in flight times for the outgoing and return flights is 61 min. The jet stream speed obtained using the quadratic formula is 103.52 km/h.
Given:
Distance between two cities; d = 4300 km
airspeed; v(as) = 930 km/h
Difference in flight time; Δt = 61 min = 1.0167 h
Now, the equation of motion to find the distance is given as;
d = vt
Where v = v(as) + v(js)
d = v(as) + v(js)t
At time t₁, t₁ = d/v(as) + v(js)
At time t₂, t₂ = d/v(as) + v(js)
Recall that Difference in flight time; Δt = 61 min.
Δt = d/v(as) + v(js) - d/v(as) + v(js)
Δt = d[(v(as) + v(js) - v(as) + v(js)]/((v(as) - v(js)) × (v(as) + v(js)))
Δt = d(2v(js))/((v(as))² - (v(js))²)
(2dv(js))/Δt = ((v(as))² - (v(js))²)
(v(js))² + ((2dv(js))/Δt) - (v(as))² = 0
(v(js))² - ((2 × 4300 × v(js))/1.0167) - (930)² = 0
(v(js))² - (8458.7329v(js)) - 864900 = 0
Using the quadratic formula, we have;
v(js) = 103.52 km/h
Therefore, The jet stream speed obtained using the quadratic formula is 103.52 km/h.
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What are the Function of stand unit
Answer:
It is called the unit function because it is the identity element for Dirichlet convolution. It may be described as the "indicator function of 1" within the set of positive integers. It is also written as u(n) (not to be confused with μ(n), which generally denotes the Möbius function).
how you brother and sister
Which of the following units is part of the international system of units, or SI?
Answer:
meter, kilogram, second, ampere, Kelvin, candela, and mole.
Explanation:
these are all SI units.
Which table shows the correct role of each organism in the food chain below?
Algae → Shrimp → Artic Cod → Ringed Seals Polar Bears
Answer:
it is algae- shrimp- artic cod-ringed seals- polar bears
Explanation:
you had it right
Which type of force occurs between two objects at a distance?
A. Applied force
B. Contact force
C. Non-contact force
D. Normal force
If your right you get 100 points & brainliest
Answer:
it has to be b contact forces
Explanation: because the two objects are next to each other but they still have force
Answer:
c
Explanation:
Velocity of an object in projectile motion always increase
True
False
Answer:
I'm pretty sure it's false
Help pls it’s urgent
Picture a long, straight corridor running east-west, with a water fountain located somewhere along it. Starting from the west end of the corridor, a woman walks a short distance east along the corridor and stops before reaching the water fountain. The distance from her to the fountain is twice the distance she has walked. She then continues walking east, passes the water fountain, and stops 60 m from her first stop. Now the distance from her to the fountain is twice the distance from her to the east end of the corridor. How long is the corridor
Answer:
The corridor's distance is "90 m".
Explanation:
She heads in the east directions but creates the first pause, meaning she crosses the distance 'x' in step 1. Now, provided that perhaps the distance by her to another fountain or waterfall just after the first stop is twice as far away she traveled. Because she moved the distance of 'x,' then, therefore, her distance towards the fountain of '2x.' She casually strolls and once again pauses 60 m beyond her stop. The gap about her to the waterfall during that time approximately twice the distance and her to the eastern end of the hallway.Assume her gap from either the east end of the platform seems to be 'y' at either the second stop, after which '2y' may become the distance between the 2nd pause and the waterfall.Now,
⇒ [tex]2x + 2y = 60[/tex]
⇒ [tex]x + y = 30[/tex]
The total distance of the corridor will be:
= [tex]x + 2x + 2y + y[/tex]
= [tex]3\times (x + y)[/tex]
= [tex]3\times 30[/tex]
= [tex]90 \ m[/tex]
A bowling ball of mass m = 1.7 kg drops from a height h = 14.2 m. A semi-circular tube of radius r = 6.2 m rest centered on a scale. Write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the variables in the problem statement.
Answer:
W_net = mg + 2mgh/r
Explanation:
The forces applied in this motion of the bowling ball are both gravitational and centripetal forces.
Now, gravitational force is; F_g = mg
While centripetal force is; F_c = mv²/r
Since we want to express the net force in terms of the variables in the statement and we are not given "v", let's find an expression of v with the variables given.
Now, from Newton's equation of motion, at initial velocity of 0, v² = 2gh.
Thus;
F_c = 2mgh/r
Where;
m is ball mass
r is tube radius
h is fall height
Thus, the net force will be;
F_net = F_g + F_c
Now, Net force would be equal to the net weight that will be read on the scale.
Thus;
W_net = F_net = F_g + F_c
W_net = mg + 2mgh/r
At its lowest point, the net force of the bowling ball is equal to its net weight and this is given by [tex]F_{net} = mg + \frac{2mgh}{r}[/tex]
Given the following data:
Mass, m = 1.7 kg.Height, h = 14.2 meters.Radius, r = 6.2 meters.To write an expression for the reading of the scale when the bowling ball is at its lowest point, in terms of the given variables:
The forces acting on the ball.In this scenario, there are two (2) forces acting on the bowling ball and these include:
Centripetal forceGravitational forceMathematically, centripetal force is given by this formula:
[tex]F_c = \frac{mv^2}{r}[/tex] .....equation 1.
Mathematically, gravitational force is given by this formula:
[tex]F_g= mg[/tex] ....equation 2.
Where:
m is the mass.g is the acceleration due to gravity.v is the velocity.Next, we would derive an expression for the velocity of the ball by applying the Law of Conservation of energy:
[tex]P.E = K.E\\\\mgh = \frac{1}{2} mv^2\\\\V^2=2gh[/tex] .....equation 3.
Substituting eqn. 3 into eqn. 2, we have:
[tex]F_c = \frac{m(2gh)}{r}\\\\F_c = \frac{2mgh}{r}[/tex]
At its lowest point, the net weight of the bowling ball is equal to its net force and this is given by this mathematical expression:
[tex]W_{net} = F_{net} = F_g + F_c\\\\F_{net} = mg + \frac{2mgh}{r}[/tex]
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what is a methane. please answer pysicsssssssssss
Answer:
methane is a gas
Explanation:
in chemistry
Newton
10. Your mass on Earth is 50kg. Planet Xenon has half the gravitational force of Earth. What
are your weight and mass on Planet Xenon?
Given parameters:
Mass on earth = 50kg
Unknown:
Mass on planet Xenon = ?
Weight on planet Xenon = ?
Mass is the amount of matter contained in a particular substance.
Weight is the force on a body and it is derived from the product of mass and acceleration due to gravity.
Weight = mass x acceleration due to gravity
Planet Xenon has half the gravitational force of Earth.
This translated gives [tex]\frac{9.8}{2}[/tex] = 4.9m/s²
Now, mass is always the same every where if the amount of matter in a substance does not change.
In this problem, mass = 50kg on planet xenon.
Weight = mass x acceleration due to gravity = 50 x 4.9 = 245N
The weight on Xenon is 245N and the mass is 50kg
1. Tectonic plates that move toward each other ...A Mantle
2. Layer with partially melted material that can flow easily _....B. Convergent
3. Tectonic plates that move away from each other C. Transform
4. Tectonic plates that slide past each other D. Divergent
Answer:
Its convergent
Explanation:
There areas where plates move toward each other and collide Also known as compressional pr destructive boundaries.
how far will a body move in 4sec if uniformly accelerated from rest at the rate of 2m/s2
Answer:
32m
Explanation:
v=u+at
v=0+2×4
v=8m/s
d=vt
d=8×4
d=32m
What is the net force required to give an automobile with a mass of 2,100 kg an acceleration of 5.4 m/s^2?
Answer:
Net force = 11340 N
Explanation:
Given that,
Mass of an automobile, m = 2100 kg
Acceleration of the automobile, a = 5.4 m/s²
We need to find the net force required for the automobile. The net force is the product of mass and acceleration. It can be given by the formula as follows :
[tex]F=ma\\\\F=2100\ kg\times 5.4\ m/s^2\\\\F=11340\ N[/tex]
So, the net force is 11340 N.
If a car moves at a velocity of 1.45 x102 m/s for 1.8 x103
seconds. How far does the car go?
Answer:
The answer is
[tex]2.61 \times {10}^{5} \: \: m[/tex]Explanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × timeFrom the question
velocity = 1.45 × 10² m/s
time = 1.8 × 10³ s
We have
distance = 1.45 × 10² × 1.8 × 10³
We have the final answer as
[tex]2.61 \times {10}^{5} \: \: m[/tex]
Hope this helps you
Playing with a stress ball you squeeze it as
hard as you can. How does this affect the
density of the ball?
Answer:
it dies
Explanation:
MWUAHHAHAHHA
Why is it important for scientists to find better ways to store solar and wind energy?
Answer:
Energy storage plays an important role in this balancing act and helps to create a more flexible and reliable grid system. For example, when there is more supply than demand, such as during the night when low-cost power plants continue to operate, the excess electricity generation can be used to power storage devices.
Explanation:
I hope this helps you out and if your feeling generous plz mark brainliest it helps me a lot thank you:)
It important for scientists to find better ways to store solar and wind energy because solar and wind energy have variable outputs.
Lately, the world have begun to gradually gravitate away from non renewable energy sources such as fossil fuels and research efforts have been concentrated on renewable energy sources such as solar and wind energy.
However, the energy output from these sources are variable. Therefore, it is necessary to device ways to store energy from these sources in order to improve overall energy supply.
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Based on what you learn about gravity describe why objects float in outer space
Answer:
Objects float in outer space because there is no gravitational force. The farther you get from earth, the less gravity.
Explanation:
Answer:
they float do to gravity
Explanation:
here if you tossed a ball in the air it would come back down fast in space however it would only float up and stay do to gravity
Which of the following organisms has an adaptation that will allow it to survive in tundra biome? *
A.)Plants with roots that are short and grows sideways with hairy stems and small leaves.
B.)Plants that have broad leaves to capture sunlight and long roots to penetrate the soil.
C.)Animals with thin fur that allows them to get rid of heat efficiently.
D.)Animals with long tongues for capturing prey and sticky pads for climbing trees.
Answer:
the awnser is A becuse the hair help.
Layer with partially melted material that can flow easily is
Answer:
the mantle.
Explanation:
The mantle is the mostly-solid bulk of Earth's interior. The mantle lies between Earth's dense, super-heated core and its thin outer layer, the crust. It's practically hot lava (Magma) Flowing and causing earthquakes and what not.
Hope this helps :)
PLEASE HELP GIVING BRAINLIEST!!
Please help in 5 mintues
A piece of chess game called master
a. king
b. queen
c. rook
d. bishop
How many atoms of each element are in 4Na3PO4?
A.) 3 sodium, 1 phosphorus, 4 oxygen
B.) 4 sodium, 4 phosphorus, 4 oxygen
C.) 12 sodium, 1 phosphorus, 4 oxygen
D.) 12 sodium, 4 phosphorus, 16 oxygen
Answer:
D) 12 sodium, 4 phosphorus. 16 oxygen
Explanation:
there is a four in front of the full formula, so you multiply all of the sub numbers by 4
A car goes 500m in 5 sec. It was moving 10 m/sec to begin with, what is
its final velocity?*
Answer:
v = 190 m/s
Explanation:
Given that,
Initial velocity of a car, u = 10 m/s
Distance, d = 500 m
Time, t = 5 s
We need to find the final velocity of the car. Firstly we can find the acceleration of the car using second equation of motion as follows :
[tex]d=ut+\dfrac{1}{2}at^2\\\\500=10\times 5+\dfrac{a}{2}\times 5^2\\\\500=50+\dfrac{25a}{2}\\\\450=\dfrac{25a}{2}\\\\a=\dfrac{450\times 2}{25}\\\\a=36\ m/s^2[/tex]
let v is the final velocity. using First equation of motion to find a as follows :
v=u+at
v=10+36(5)
v=190 m/s
So, the final velocity of the car is 190 m/s.
3. When two things are the same temperature:
A. They have the same number of molecules
B. Their molecules stop moving
C. Their molecules move at the same average speed
D. Heat transfer between the two things stops
Answer: D. Heat transfer between the two things stops.
a driver travels 4.25 km in two minutes. if the driver's initial velocity is 20m/s, what is the acceleration
Recall the definition of average velocity:
average v = ∆x / ∆t
The driver moves a distance of ∆x = 4.25 km = 4250 m in 2 min = 120 s, so the average velocity is
average v = (4250 m) / (120 s) ≈ 35.4 m/s
Under constant acceleration, the average velocity can also be computed by taking the average of the initial and final velocities:
average v = (initial v + final v) / 2
Solve for (final v) :
35.4 m/s = (20 m/s + final v)/2
final v ≈ 50.83 m/s
Recall the definition of average acceleration:
average a = ∆v / ∆t
Solve for a :
a = (50.83 m/s - 20 m/s) / (120 s)
a ≈ 0.257 m/s²
the period of a pendulum may be decreased by
Answer:
shortening its length.
The period of a pendulum is not dependent on the mass of the ball, but only on the length of its string. The period of a pendulum may be decreased by shortening the length of pendulum
The shortening of the pendulum length often affect its period. The length of the string do influence the pendulum's period making it to be like the longer the length of the string, the longer the pendulum's period.
A pendulum that has a longer string often has a lower frequency. That is, it will swings back and forth in little times in a given amount of time than when the pendulum is with a shorter string length.
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On a drive from your home to town, you
wish to average 60 mph. The distance from
your home to town is 78 miles. However,
at 39 miles (half way), you find you have
averaged only 45 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 60 mph?
Answer in units of mph.
On a drive from your home to town, you wish
to average 33.6 mph. The distance from your
home to town is 90 miles. However, at 45 miles
(half way), you find you have averaged only
25.2 mph.
What average speed must you maintain in
the remaining distance in order to have an
overall average speed of 33.6 mph?
Answer in units of mph
let the speed be x
total average = 33.6
A book sitting on a table has potential energy because of the gravitational pull of Earth. Which of the following would increase the potential energy of the book? A) Sliding it across the table C) Dropping it on the floor B) Opening it to the middle D) Lifting it to a high shelf
Answer:
D) Lifting it to a high shelf
Explanation:
Potential energy is where energy could be released at any moment. For example, if a cat gets on a tree it's creating potential energy, once that cat jumps from the tree the energy releases. D is the answers because if you set the book in a high shelf, you are only creating more potential energy.
hope I explain my self well enough
cheers man and good luck
When an object remains stationary, any forces acting on it must be balanced.
Choose 1 answer:
True
False